ASTM D5112-22
(Test Method)Standard Test Method for Vibration (Horizontal Linear Motion) Test of Products
Standard Test Method for Vibration (Horizontal Linear Motion) Test of Products
SIGNIFICANCE AND USE
4.1 Products are exposed to complex dynamic stresses in the transportation environment. The determination of the resonant frequencies of the product, either horizontal, vertical or both, aids the package designer in determining the proper packaging system to provide adequate protection of the product, as well as providing an understanding of the complex interactions between the components of the product as they relate to expected transportation vibration inputs.
SCOPE
1.1 This test method covers the determination of resonances of unpackaged products and components by means of horizontal linear motion applied at the surface on which the product is mounted. For vertical vibration testing of products see Test Method D3580. Two alternate test methods are presented:
1.1.1 Test Method A—Resonance Search Using Sinusoidal Vibration, and
1.1.2 Test Method B—Resonance Search Using Random Vibration.
Note 1: These two test methods are not necessarily equivalent and may not produce the same results.
1.2 This information may be used to examine the response of products to vibration for product design purposes, or for the design of a container or interior package that will minimize transportation vibration inputs at the critical frequencies, when these product resonances are within the expected transportation environment frequency range. Since vibration damage is most likely to occur at product resonant frequencies, these may be thought of as potential product fragility points.
1.3 Information obtained from the optional sinusoidal dwell and random test methods may be used to assess the fatigue characteristics of the resonating components and for product modification. This may become necessary if a product's response would require design of an impractical or excessively costly shipping container.
1.4 This test method does not necessarily simulate vibration effects the product will encounter in operating or end-use environments. Other, more suitable test procedures should be used for this purpose.
1.5 The values stated in SI units are to be regarded as the standard. The values given in parentheses are for information only.
1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific precautionary statements, see Section 6
1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
General Information
- Status
- Published
- Publication Date
- 30-Sep-2022
- Technical Committee
- D10 - Packaging
- Drafting Committee
- D10.13 - Interior Packaging
Relations
- Effective Date
- 15-Mar-2013
- Effective Date
- 01-Aug-2011
- Effective Date
- 01-Dec-2010
- Refers
ASTM D3580-95(2010) - Standard Test Methods for Vibration (Vertical Linear Motion) Test of Products - Effective Date
- 01-Jan-2010
- Effective Date
- 01-Aug-2009
- Effective Date
- 01-Oct-2007
- Effective Date
- 01-Nov-2006
- Refers
ASTM D3580-95(2004) - Standard Test Methods for Vibration (Vertical Linear Motion) Test of Products - Effective Date
- 01-Oct-2004
- Effective Date
- 01-Apr-2004
- Effective Date
- 10-Apr-2002
- Effective Date
- 10-Apr-2002
- Effective Date
- 10-Apr-2001
- Effective Date
- 10-Apr-2001
- Effective Date
- 10-Apr-2001
- Effective Date
- 10-Apr-2001
Overview
ASTM D5112-22 - Standard Test Method for Vibration (Horizontal Linear Motion) Test of Products - provides a comprehensive procedure for determining the resonance characteristics of unpackaged products and components subjected to horizontal linear vibration. Developed by ASTM International, this standardized method is crucial for package designers and engineers to better understand how products respond to dynamic transportation stresses, assessing potential vulnerabilities during shipping, and optimizing protective packaging solutions.
This test method outlines two distinct approaches for identifying product resonances:
- Test Method A: Resonance Search Using Sinusoidal Vibration
- Test Method B: Resonance Search Using Random Vibration
Resonant frequencies revealed by these methods represent critical points where products may be most susceptible to vibration damage during transportation, making this standard essential for transportation packaging design and quality assurance.
Key Topics
- Significance of Resonance Testing: Determining a product's resonant frequencies helps in identifying fragility points and informs the design of packaging systems that effectively mitigate transportation-induced vibration risks.
- Test Approaches:
- Sinusoidal Vibration (Method A): Involves sweeping frequencies over a specified range to identify and record resonant responses.
- Random Vibration (Method B): Uses a random frequency spectrum to better simulate complex transportation environments.
- Fatigue Assessment: Optional extended tests at resonance frequencies are used to assess component fatigue and inform potential product design modifications.
- Instrumentation Requirements: Guidelines for vibration test equipment, including vibration test machines, specimen mounting devices, and data acquisition systems, ensuring test accuracy and repeatability.
- Safety Precautions: Emphasizes robust specimen mounting and operator awareness to prevent hazardous situations during test execution.
- Reporting Requirements: Specifies detailed information to be included in test reports, such as test conditions, results, equipment used, and observed resonances.
Applications
ASTM D5112-22 applies across various industries where product integrity during shipment is critical. Its primary uses include:
- Packaging Design Optimization: Enables engineers to tailor packaging systems to dampen vibration at identified product resonances, thereby increasing product protection and reducing damage rates.
- Product Development: Informs necessary product modifications if standard packaging would be impractical or cost-prohibitive due to identified vibration sensitivities.
- Quality Assurance: Provides a standardized benchmark for comparing the vibration response of different products or packaging configurations.
- Transportation Simulation: Offers realistic in-lab simulation of horizontal transportation vibration, supporting logistics risk assessment and compliance documentation.
- Component Fatigue Analysis: Helps evaluate long-term durability of product components exposed to repeated vibration during transit.
Related Standards
ASTM D5112-22 references several other important standards to provide a holistic approach for vibration and packaging testing:
- ASTM D3580 - Test Methods for Vibration (Vertical Linear Motion) Test of Products
- ASTM D996 - Terminology of Packaging and Distribution Environments
- ASTM D4332 - Practice for Conditioning Containers, Packages, or Packaging Components for Testing
- ASTM E122 - Practice for Calculating Sample Size to Estimate the Average for a Characteristic of a Lot or Process
- MIL-STD-810 - Environmental Engineering Considerations and Laboratory Tests (for military vibration simulation)
Practical Value
Applying ASTM D5112-22 enhances confidence that products will withstand real-world transportation and handling environments, reducing costly damage and returns. It supports regulatory and industry compliance, fosters best practices in packaging technology, and improves customer satisfaction through better product reliability upon delivery. Integrating this vibration test method into the product lifecycle ensures robust, data-driven design, promoting efficient and sustainable shipping solutions.
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Frequently Asked Questions
ASTM D5112-22 is a standard published by ASTM International. Its full title is "Standard Test Method for Vibration (Horizontal Linear Motion) Test of Products". This standard covers: SIGNIFICANCE AND USE 4.1 Products are exposed to complex dynamic stresses in the transportation environment. The determination of the resonant frequencies of the product, either horizontal, vertical or both, aids the package designer in determining the proper packaging system to provide adequate protection of the product, as well as providing an understanding of the complex interactions between the components of the product as they relate to expected transportation vibration inputs. SCOPE 1.1 This test method covers the determination of resonances of unpackaged products and components by means of horizontal linear motion applied at the surface on which the product is mounted. For vertical vibration testing of products see Test Method D3580. Two alternate test methods are presented: 1.1.1 Test Method A—Resonance Search Using Sinusoidal Vibration, and 1.1.2 Test Method B—Resonance Search Using Random Vibration. Note 1: These two test methods are not necessarily equivalent and may not produce the same results. 1.2 This information may be used to examine the response of products to vibration for product design purposes, or for the design of a container or interior package that will minimize transportation vibration inputs at the critical frequencies, when these product resonances are within the expected transportation environment frequency range. Since vibration damage is most likely to occur at product resonant frequencies, these may be thought of as potential product fragility points. 1.3 Information obtained from the optional sinusoidal dwell and random test methods may be used to assess the fatigue characteristics of the resonating components and for product modification. This may become necessary if a product's response would require design of an impractical or excessively costly shipping container. 1.4 This test method does not necessarily simulate vibration effects the product will encounter in operating or end-use environments. Other, more suitable test procedures should be used for this purpose. 1.5 The values stated in SI units are to be regarded as the standard. The values given in parentheses are for information only. 1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific precautionary statements, see Section 6 1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
SIGNIFICANCE AND USE 4.1 Products are exposed to complex dynamic stresses in the transportation environment. The determination of the resonant frequencies of the product, either horizontal, vertical or both, aids the package designer in determining the proper packaging system to provide adequate protection of the product, as well as providing an understanding of the complex interactions between the components of the product as they relate to expected transportation vibration inputs. SCOPE 1.1 This test method covers the determination of resonances of unpackaged products and components by means of horizontal linear motion applied at the surface on which the product is mounted. For vertical vibration testing of products see Test Method D3580. Two alternate test methods are presented: 1.1.1 Test Method A—Resonance Search Using Sinusoidal Vibration, and 1.1.2 Test Method B—Resonance Search Using Random Vibration. Note 1: These two test methods are not necessarily equivalent and may not produce the same results. 1.2 This information may be used to examine the response of products to vibration for product design purposes, or for the design of a container or interior package that will minimize transportation vibration inputs at the critical frequencies, when these product resonances are within the expected transportation environment frequency range. Since vibration damage is most likely to occur at product resonant frequencies, these may be thought of as potential product fragility points. 1.3 Information obtained from the optional sinusoidal dwell and random test methods may be used to assess the fatigue characteristics of the resonating components and for product modification. This may become necessary if a product's response would require design of an impractical or excessively costly shipping container. 1.4 This test method does not necessarily simulate vibration effects the product will encounter in operating or end-use environments. Other, more suitable test procedures should be used for this purpose. 1.5 The values stated in SI units are to be regarded as the standard. The values given in parentheses are for information only. 1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific precautionary statements, see Section 6 1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
ASTM D5112-22 is classified under the following ICS (International Classification for Standards) categories: 19.060 - Mechanical testing. The ICS classification helps identify the subject area and facilitates finding related standards.
ASTM D5112-22 has the following relationships with other standards: It is inter standard links to ASTM D4332-13, ASTM E122-09e1, ASTM D996-10a, ASTM D3580-95(2010), ASTM E122-09, ASTM E122-07, ASTM D4332-01(2006), ASTM D3580-95(2004), ASTM D996-04, ASTM D996-02, ASTM D996-99, ASTM D4332-01e2, ASTM D4332-99, ASTM D4332-00, ASTM D4332-01. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.
ASTM D5112-22 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
Standards Content (Sample)
This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: D5112 − 22
Standard Test Method for
Vibration (Horizontal Linear Motion) Test of Products
This standard is issued under the fixed designation D5112; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope responsibility of the user of this standard to establish appro-
priate safety, health, and environmental practices and deter-
1.1 This test method covers the determination of resonances
mine the applicability of regulatory limitations prior to use.
of unpackaged products and components by means of horizon-
For specific precautionary statements, see Section 6
tal linear motion applied at the surface on which the product is
1.7 This international standard was developed in accor-
mounted. For vertical vibration testing of products see Test
dance with internationally recognized principles on standard-
Method D3580. Two alternate test methods are presented:
ization established in the Decision on Principles for the
1.1.1 Test Method A—Resonance Search Using Sinusoidal
Development of International Standards, Guides and Recom-
Vibration, and
mendations issued by the World Trade Organization Technical
1.1.2 Test Method B—Resonance Search Using Random
Barriers to Trade (TBT) Committee.
Vibration.
NOTE 1—These two test methods are not necessarily equivalent and
2. Referenced Documents
may not produce the same results.
2.1 ASTM Standards:
1.2 This information may be used to examine the response
D996 Terminology of Packaging and Distribution Environ-
of products to vibration for product design purposes, or for the
ments
design of a container or interior package that will minimize
D3580 Test Methods for Vibration (Vertical Linear Motion)
transportation vibration inputs at the critical frequencies, when
Test of Products
theseproductresonancesarewithintheexpectedtransportation
D4332 Practice for Conditioning Containers, Packages, or
environment frequency range. Since vibration damage is most
Packaging Components for Testing
likely to occur at product resonant frequencies, these may be
E122 Practice for Calculating Sample Size to Estimate,With
thought of as potential product fragility points.
Specified Precision, the Average for a Characteristic of a
1.3 Information obtained from the optional sinusoidal dwell
Lot or Process
and random test methods may be used to assess the fatigue
2.2 Military Standard:
characteristics of the resonating components and for product
MIL STD 810, Method 514, Vibration
modification. This may become necessary if a product’s
response would require design of an impractical or excessively
3. Terminology
costly shipping container.
3.1 Definitions—For definitions of terms used in this test
1.4 This test method does not necessarily simulate vibration
method, see Terminology D996.
effects the product will encounter in operating or end-use
environments. Other, more suitable test procedures should be
3.2 Definitions of Terms Specific to This Standard:
used for this purpose.
3.2.1 decade—theintervaloftwofrequencieshavingabasic
frequency ratio of 10 (1 decade = 3.322 octaves).
1.5 The values stated in SI units are to be regarded as the
standard. The values given in parentheses are for information
3.2.2 decibel (dB)—a logarithmic expression of the relative
only.
values of two quantities. For relative power measurements, the
dB value equals 10 times the base-10 logarithm of the ratio of
1.6 This standard does not purport to address all of the
P1
the two quantities, that is, dB = 10 log [ ⁄P2 ].
safety concerns, if any, associated with its use. It is the
1 2
This test method is under the jurisdiction of ASTM Committee D10 on For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Packaging and is the direct responsibility of Subcommittee D10.13 on Interior contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Packaging. Standards volume information, refer to the standard’s Document Summary page on
Current edition approved Oct. 1, 2022. Published October 2022. Originally the ASTM website.
approved in 1990. Last previous edition approved in 2015 as D5112 – 98 (2015). Available from Standardization Documents Order Desk, Bldg. 4 Section D, 700
DOI: 10.1520/D5112-22. Robbins Ave., Philadelphia, PA 19111-5094, Attn: NPODS.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D5112 − 22
3.2.3 horizontal linear motion—motion occurring essen- applied vibrations are essentially uniform over the entire test
tially along a straight horizontal line, with no significant surface when loaded with the test specimen. The test surface
vertical or off-axis components. shall be driven to move only in horizontal linear motion
throughout the desired range of amplitudes and frequencies.
3.2.4 mean-square—the time average of the square of the
5.1.1 Sinusoidal Control—The frequency and amplitude of
function.
motion shall be variable, under control, to cover the range
3.2.5 octave—the interval of two frequencies having a basic
specified in 10.4.
frequency ratio of 2 (1 octave = 0.301 decade).
5.1.2 Random Control—The frequency and amplitude of
3.2.6 overall g rms—the square root of the integral of power
motion shall be continuously variable, under control to achieve
spectral density over the total frequency range.
the bandwidths, amplitudes and overall g rms values specified
in 10.5.
3.2.7 power spectral density (PSD)—atermusedtoquantify
the intensity of random vibration in terms of mean-square
5.2 Specimen-Mounting Devices, of sufficient strength and
2 2
acceleration per unit of frequency. The units are g /Hz (g /
rigidity to attach the product securely to the test surface. The
cycles/s). Power spectral density is the limiting mean square
resonant frequency of the mounting devices shall be, at a
value in a given rectangular bandwidth divided by the
minimum, twice that of the high end of the intended test range
bandwidth, as the bandwidth approaches zero.
for the product. The device(s) shall support the product in a
3.2.8 random vibration—oscillatory motion which contains
manner similar to the way in which it will be supported in its
no periodic or quasi-periodic constituent. shipping container. Relative motion between the test surface
and the test mounting interface shall not be permitted.
3.2.9 random vibration magnitude—the root-mean square
of the power spectral density value. The instantaneous magni-
5.3 Instrumentation:
tudes of random vibration are not prescribed for any given
5.3.1 Sensors, signal conditioners, filters, and data acquisi-
instant in time, but instead are prescribed by a probability
tion apparatus are required to monitor or record, or both, the
distribution function, the integral of which over a given
accelerations and frequencies at the test surface of the appara-
magnitude range will give the probable percentage of time that
tus and at points of interest in the product. The instrumentation
the magnitude will fall within that range.
system shall have a response accurate to within 65 % over the
test range.
3.2.10 resonance—for a system undergoing forced
vibration, the frequency at which any change of the exciting
NOTE 2—Strain gage type accelerometers may be required to monitor
frequency in the vicinity of the exciting frequency, causes a
the product, control the test system, or both.
decrease in the response of the system.
5.3.1.1 For Test MethodA, the frequencies and acceleration
3.2.11 root-mean square (rms)—the square root of the
amplitudes or transmissibilities may be taken either manually
mean-square value. In the exclusive case of sine wave, the rms
or by means of a recording instrument.Astroboscope or video
value is 0.707 times the peak.
system may be beneficial for visual examination of the
specimen under test.
3.2.12 sinusoidal vibration—periodic motion whose accel-
5.3.1.2 For Test Method B, the data acquisition apparatus
eration versus time waveform has the general shape of a sine
shallbecapableofrecordingorindicatingthetransmissibilities
curve, that is, y = sine x.
between points of interest in the product to the test surface,
3.2.13 sinusoidal vibration amplitude—the maximum value
over the frequency bandwidth specified in 10.5.
of a sinusoidal quantity. By convention, acceleration is typi-
cally specified in terms of zero-to-peak amplitude, while
6. Safety Precautions
displacement is specified in terms of peak-to-peak amplitude.
6.1 Warning—This test method may produce severe me-
3.2.14 transmissibility—the ratio of measured acceleration
chanical response in the product being tested. Therefore, the
amplitude at a point of interest in the product to the measured
means used to fasten the product to the test surface must be of
input acceleration amplitude of the test surface of the appara-
sufficient strength to keep it adequately secured. Operating
tus.
personnel must remain alert to potential hazards and take
necessary precautions for their safety. Stop the test immedi-
4. Significance and Use
ately if a dangerous condition should develop.
4.1 Productsareexposedtocomplexdynamicstressesinthe
transportation environment. The determination of the resonant
7. Sampling
frequencies of the product, either horizontal, vertical or both,
7.1 Test specimens and the number of samples shall be
aids the package designer in determining the proper packaging
chosen to permit an adequate determination of representative
systemtoprovideadequateprotectionoftheproduct,aswellas
performance. Whenever sufficient products are available, five
providing an understanding of the complex interactions be-
or more repl
...
This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: D5112 − 98 (Reapproved 2015) D5112 − 22
Standard Test Method for
Vibration (Horizontal Linear Motion) Test of Products
This standard is issued under the fixed designation D5112; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method covers the determination of resonances of unpackaged products and components by means of horizontal
linear motion applied at the surface on which the product is mounted. For vertical vibration testing of products see Test Method
D3580. Two alternate test methods are presented:
1.1.1 Test Method A—Resonance Search Using Sinusoidal Vibration, and
1.1.2 Test Method B—Resonance Search Using Random Vibration.
NOTE 1—These two test methods are not necessarily equivalent and may not produce the same results.
1.2 This information may be used to examine the response of products to vibration for product design purposes, or for the design
of a container or interior package that will minimize transportation vibration inputs at the critical frequencies, when these product
resonances are within the expected transportation environment frequency range. Since vibration damage is most likely to occur at
product resonant frequencies, these may be thought of as potential product fragility points.
1.3 Information obtained from the optional sinusoidal dwell and random test methods may be used to assess the fatigue
characteristics of the resonating components and for product modification. This may become necessary if a product’s response
would require design of an impractical or excessively costly shipping container.
1.4 This test method does not necessarily simulate vibration effects the product will encounter in operating or end-use
environments. Other, more suitable test procedures should be used for this purpose.
1.5 The values stated in SI units are to be regarded as the standard. The values given in parentheses are for information only.
1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility
of the user of this standard to establish appropriate safety safety, health, and healthenvironmental practices and determine the
applicability of regulatory limitations prior to use. For specific precautionary statements, see Section 6.
1.7 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
This test method is under the jurisdiction of ASTM Committee D10 on Packaging and is the direct responsibility of Subcommittee D10.13 on Interior Packaging.
Current edition approved April 1, 2015Oct. 1, 2022. Published May 2015October 2022. Originally approved in 1990. Last previous edition approved in 20092015 as D5112
– 98(2009).98 (2015). DOI: 10.1520/D5112-98R15.10.1520/D5112-22.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D5112 − 22
2. Referenced Documents
2.1 ASTM Standards:
D996 Terminology of Packaging and Distribution Environments
D3580 Test Methods for Vibration (Vertical Linear Motion) Test of Products
D4332 Practice for Conditioning Containers, Packages, or Packaging Components for Testing
E122 Practice for Calculating Sample Size to Estimate, With Specified Precision, the Average for a Characteristic of a Lot or
Process
2.2 Military Standard:
MIL STD 810E,810, Method 514, Vibration
3. Terminology
3.1 Definitions—For definitions of terms used in this test method, see Terminology D996.
3.2 Definitions of Terms Specific to This Standard:
3.2.1 decade—the interval of two frequencies having a basic frequency ratio of 10 (1 decade = 3.322 octaves).
3.2.2 decibel (dB)—a logarithmic expression of the relative values of two quantities. For relative power measurements, the dB
P1
value equals 10 times the base-10 logarithm of the ratio of the two quantities, that is, dB = 10 log [ ⁄P2 ].
3.2.3 horizontal linear motion—motion occurring essentially along a straight horizontal line, with no significant vertical or off-axis
components.
3.2.4 mean-square—the time average of the square of the function.
3.2.5 octave—the interval of two frequencies having a basic frequency ratio of 2 (1 octave = 0.301 decade).
3.2.6 overall g rms—the square root of the integral of power spectral density over the total frequency range.
3.2.7 power spectral density (PSD)—a term used to quantify the intensity of random vibration in terms of mean-square
2 2
acceleration per unit of frequency. The units are g /Hz (g /cycles/s). Power spectral density is the limiting mean square value in
a given rectangular bandwidth divided by the bandwidth, as the bandwidth approaches zero.
3.2.8 random vibration—oscillatory motion which contains no periodic or quasi-periodic constituent.
3.2.9 random vibration magnitude—the root-mean square of the power spectral density value. The instantaneous magnitudes of
random vibration are not prescribed for any given instant in time, but instead are prescribed by a probability distribution function,
the integral of which over a given magnitude range will give the probable percentage of time that the magnitude will fall within
that range.
3.2.10 resonance—for a system undergoing forced vibration, the frequency at which any change of the exciting frequency in the
vicinity of the exciting frequency, causes a decrease in the response of the system.
3.2.11 root-mean square (rms)—the square root of the mean-square value. In the exclusive case of sine wave, the rms value is
0.707 times the peak.
3.2.12 sinusoidal vibration—periodic motion whose acceleration versus time waveform has the general shape of a sine curve, that
is, y = sine x.
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Available from Standardization Documents Order Desk, Bldg. 4 Section D, 700 Robbins Ave., Philadelphia, PA 19111-5094, Attn: NPODS.
D5112 − 22
3.2.13 sinusoidal vibration amplitude—the maximum value of a sinusoidal quantity. By convention, acceleration is typically
specified in terms of zero-to-peak amplitude, while displacement is specified in terms of peak-to-peak amplitude.
3.2.14 transmissibility—the ratio of measured acceleration amplitude at a point of interest in the product to the measured input
acceleration amplitude of the test surface of the apparatus.
4. Significance and Use
4.1 Products are exposed to complex dynamic stresses in the transportation environment. The determination of the resonant
frequencies of the product, either horizontal, vertical or both, aids the package designer in determining the proper packaging system
to provide adequate protection of the product, as well as providing an understanding of the complex interactions between the
components of the product as they relate to expected transportation vibration inputs.
5. Apparatus
5.1 Vibration Test Machine, consisting of a flat horizontal test surface of sufficient strength and rigidity such that the applied
vibrations are essentially uniform over the entire test surface when loaded with the test specimen. The test surface shall be driven
to move only in horizontal linear motion throughout the desired range of amplitudes and frequencies.
5.1.1 Sinusoidal Control—The frequency and amplitude of motion shall be variable, under control, to cover the range specified
in 10.4.
5.1.2 Random Control—The frequency and amplitude of motion shall be continuously variable, under control to achieve the
bandwidths, amplitudes and overall g rms values specified in 10.5.
5.2 Specimen-Mounting Devices, of sufficient strength and rigidity to attach the product securely to the test surface. The resonant
frequency of the mounting devices shall be, at a minimum, twice that of the high end of the intended test range for the product.
The device(s) shall support the product in a manner similar to the way in which it will be supported in its shipping container.
Relative motion between the test surface and the test mounting interface shall not be permitted.
5.3 Instrumentation:
5.3.1 Sensors, signal conditioners, filters, and data acquisition apparatus are required to monitor or record, or both, the
accelerations and frequencies at the test surface of the apparatus and at points of interest in the product. The instrumentation system
shall have a response accurate to within 65 % over the test range.
NOTE 2—Strain gage type accelerometers may be required to monitor the product, control the test system, or both.
5.3.1.1 For Test Method A, the frequencies and acceleration amplitudes or transmissibilities may be taken either manually or by
means of a recording instrument. A stroboscope or video system may be beneficial for visual examination of the specimen under
test.
5.3.1.2 For Test Method B, the data acquisition apparatus shall be capable of recording or indicating the transmissibilities between
points of interest in the product to the test surface, over the frequency bandwidth specified in 10.5.
6. Safety Precautions
6.1 Warning—Warning—This test method may produce severe mechanical response in the product being tested. Therefore, the
means used to fasten the product to the test surface must be of sufficient strength to keep it adequately secured. Operating personnel
must remain alert to potential hazards and take necessary precautions for their safety. Stop the test im
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