| Response-Optimized
Vibration Testing and Screening
by John Starr and Wayne Tustin
Introduction
For many electronic systems, vibration testing is part of the qualification
requirements. Vibration is also often used in environmental stress
screening (ESS) programs. Many organizations have found optimized
vibration to be the most efficient means of finding production flaws.
Companies with optimized vibration screens (vibration test alone)
have credited vibration with 60%-80% of flaws found. Many have concluded
that the value of thermal screening is overrated1.
Tests during development of electronic products can
provide mounds of information, but little is gained without detailed
analysis. With detailed analysis, substantial immediate cost savings
are achieved during test programs and later from higher reliability.
Planning Needed
Effective vibration testing requires planning2. Vibration
testing of electronics is particularly complex. Electronic products
(such as the military’s use of COTS) have many physical dimensions
and material properties that cannot be tightly controlled, yet are
very critical to life. Understanding the product is a critical element
in all vibration testing3.
The most common method of using vibration in developing
reliable electronic systems has been a combination of testing and
evaluation with empirical relationships. This approach is adequate
for many, but not all circuit cards. Failures due to a faulty design
approach can be very costly. Empirical relationships provide guidelines,
but not real "numerical definition" of life at point of
failure
Need For Numbers
Quoting William Thomson (Lord Kelvin): “When you can measure
what you are speaking about, and express it in numbers, you know
something about it; but when you cannot measure it, when you cannot
express it in numbers, your knowledge is of a meager and unsatisfactory
kind: it may be the beginning of knowledge, but you have scarcely,
in your thoughts, advanced to the stage of science.” This
article introduces numerical knowledge of why printed circuit cards
fail.
Since the empirical guidelines do not address design
details, many unexpected failures can and too often do occur. Failures
can be extremely costly, depending on when in development or service
they occur. Replacement of empirical equations with effective analysis
leads to substantial savings.
Does Analysis Work?
Some may question the capability of mechanical analysis to aid in
developing electronic systems. They should recognize that all systems
(including electronic systems) are subject to numerous physical
laws and mechanisms. Analysis always works. It provides valuable
product information. When detailed analysis disagrees with tests,
the fault is usually our lack of understanding of the physical product.
Time taken to thoroughly investigate why they differ results in
a greater understanding of our product.
Vibration-Caused Failures
For most components on modern electronic circuit cards, the most
severe stresses result from card deformations; these are defined
by mode shapes at natural resonances. Random vibration is commonly
used in product testing, with various resonances excited simultaneously,
much as they are in service. Whenever a failure takes place, during
HALT, ESS, HASS or other test, one needs to identify the root cause
of that failure4. When vibration is understood at root
cause level, design changes can be implemented with greatest probability
of success and at lowest cost.
Vibration of electronics can be quite complex. Physics
of Failure (PoF) analysis translates test data into data defining
exposure at point of failure level. Detailed analysis of designs
can show why life expectations of identical components can vary
significantly with location.
Commonly-used empirical methods do not numerically
define component level vibration exposure. We do not intend to impugn
the empirical methods of the past. The most common of these methods,
the Steinberg equation, was developed in the1970's. Detailed analysis
was not feasible due to lack of computer resources. In the late
'80s, detailed analysis was feasible but very expensive. Now a very
complex model of a circuit card can be run in a few hours on a high
powered PC. Some analysis models can be set up in minutes, using
modern technology5.

Figure 1 - Three Modes - Actual Circuit
Card Assembly5
Properly conducted vibration tests can provide details
of the physical responses of an electronic system. Figure 1 is a
graphical representation (displacement exaggerated) of the first
three mode shapes of an actual circuit card. With a sine sweep,
the natural frequencies of the circuit cards can be measured. Displacement
mode shapes for lower natural frequencies can be viewed with a strobe
light. Step stress tests can determine fragility limits.
Substitute Hardware Endangers Products
Design of reliable systems requires further knowledge. If a component
has multiple suppliers, will substitution change life capabilities?
Since components are designed for electronic function (not structural
capability), substitute components can differ in various structural
properties. Circuit boards can similarly vary in thickness and bending
modulii. Differences in natural frequencies, responses and life
capabilities result. All mechanical properties affect stress and
stress affects life capability (Exponentially!!!).
The designer must evaluate whether proposed changes will affect
reliability.
With all the expected variations in circuit and
component parts, how do we interpret our test results? If one prototype
unit passed one test, what can we predict for other units? Electronics
systems are difficult to control mechanically, because there is
little or no control on important physical parameters. Testing of
all variations is not practical. Analysis allows extrapolation of
test experience to cover often-reliability-critical mechanical parameter
variations.
Circuit Card Complexity
Common expressions illustrate our inability to understand our test
results and the difficulty of defining an effective stress screen
for electronics. Expressions include:
- "each electronic product is unique"
Other expressions (following life tests or field
returns):
- "cannot duplicate failures",
- “no fault identified”,
- “re-test OK”
Such expressions are common because of the statistical
complexity of test control and of test items.
Three large contributors to statistical variations
in test results are:
- fatigue
- random vibration
- mechanical imprecision
Detailed Analysis
Circuit card components fail under vibration as a result of fatigue
from cyclic stresses from inertial forces and from mode shape-caused
component bending, primarily the latter. These stresses, unfortunately,
cannot be quantified by measurements during a test.
Empirical formulas have attempted to define life
capabilities through simple curvature approximations. These methods
often fail because they can't properly cover all variations in circuit
card details. Component life is affected by curvature in both directions.
At best, a simple formula provides a crude approximation. Since
the stress/life relationship is exponential, large life capability
errors result.
A test can provide response measurements and pass/fail
information, with the amount of detail available determined by the
allocated funds. However, when you add PoF analysis, the available
information expands dramatically.
CirVibe6 is an example of PoF analysis
useful in developing reliable electronics. CirVibe is a software
program that converts a geometric description into a mathematical
model, then solves this model, extracting detailed stress cycling
data for every component on the test item. The software program
methods were developed based on decades of experience in applying
numerical analysis to design and development of structures (what
fails, how it fails, what level of model accuracy is required in
each product, etc.). This experience included extensive design,
development and testing of numerous electronic systems. Test programs
supported by CirVibe level analysis become extremely cost effective.
This highly automated program develops finite element analysis (FEA)
models from simple geometric descriptions of a circuit card and
its components. The finite element detail is generated internally,
so the user need not have FEA expertise. Interfaces to Computer
Aided Design (CAD) programs speed the development by translating
CAD data to circuit card analysis models.
FEA applies laws of mechanics and determines product
information that is beyond the capability of any test program. Analysis
can optimize accelerometer positioning. Taking advantage of new
tools to utilize current PC computer power, the detailed calculations
can turn a few accelerometer measurements into:
- modal shapes for critical modes
- peak responses of critical modes
- stresses for every component for every critical
mode
- fatigue damage from component cyclic stress
Adding modern FEA to the test process turns accelerometer
readings into definitions of life capability of every component.
Extending the analysis to include any design variations is very
simple: repeat the analysis with new parameters. Design changes
such as component details can be evaluated in minutes. More complex
design ruggedizing changes such as layout, support conditions, stiffener
additions or similar changes can be performed in a few hours. Design
changes can be qualified virtually, without the time and expense
of building and testing a prototype. Many options can be considered.
Product understanding gained from detailed analysis
is valuable in the design of test fixtures used to attach circuit
card(s) to the shaker’s vibrating table. Too often, decisions
are based on results obtained with faulty fixtures in an attempt
to match the geometry (but unfortunately not the dynamics) of in-service
usage conditions.
ESS can be optimized earlier in the process. Since
PoF analysis can provide life-use data for every component under
each modal response shape and amplitude, this data can optimize
the screening profile.
Detailed pretest PoF analysis identifies which components
are to be driven at each natural frequency and to what level each
is to be driven. It can also predict the change in damage that will
result from a change in drive level over a frequency range. This
product understanding is used to optimize the screen. Screens can
be tailored by excitation control in frequency bands to properly
excite critical parts of the test article without using excessive
test article life.
Figure 2 illustrates stress screen effectiveness
at a component level. It also illustrates life capability under
one set of requirements.
Figure 2 - CirVibe Screen Effectiveness
and Service Life Capability Plot
Conclusions – Cost Savings
Since a test cannot provide any measurements that are descriptive
of point of failure, test alone can be considered a blindfolded
hit-or-miss approach to gaining knowledge about a product. The industry
phrase, "the ESS process is unique for each electronic product",
demonstrates this fact. It's the combination of test and analysis
that provides real knowledge. Tests can create real failure data.
Subsequent analysis provides numerical definition of the failures
experienced. By numerical definitions we mean “definitions
of exposure to fatigue damage at component level”. Note that
these numbers are transferable from one design configuration to
another. " When you can measure what you are speaking about,
and express it in numbers, you know something about it..."
When numbers are transferable from one design to
another through the benefit of analysis, each test program can benefit
from all past experience. Test programs become more efficient. For
life testing, definitions of life capabilities relative to requirements
can be more accurately defined, reducing the risk of failures. For
stress screening, screen effectiveness can be defined at a component
position level. Screens can be optimized much earlier in the process.
The benefits of analysis include (1) cost savings of stress screen
programs and (2) savings from producing a more reliable product.
References
1. "Reliability - Past and Present", G.K. Hobbs; Sound
and Vibration/April 1997
2. “Prepare for Better Vibration Tests”, Tustin, Smith
and Reeder, Test & Measurement World, October 1999
3.
“Understanding Vibration of Electronic Systems”,
Starr and Abner;
4. “Electronics
Testing into the 21st Century: Success in Test Is in Capabilities,
Not Specifications”; Gray and Tustin
5. "Optimizing
Electronic Circuit Card HALT, ESS and HASS".
6. CirVibe Circuit
Card Vibration Software; Users Manual Version 3.0
J. Starr is a registered professional engineer
in the state of Pennsylvania with over 35 years of continuous and
varied experience in structural capabilities in Nuclear, Chemical,
and Defense industries. He works as a Consulting Engineer at CirVibe
Inc. To contact John send an e-mail to jstarr@equipment-reliability.com.
Wayne Tustin, ERI's president, can be reached
by e-mail
or phone (805) 564-1260. Read more about Wayne at ERI's
website. |