Review Articles

Predictive Modeling of the Dynamic Response of Electronic Systems to Shocks and Vibrations

[+] Author and Article Information
E. Suhir

Physical Sciences and Engineering Research Division, Bell Laboratories, Murray Hill, NJ 07974; Department of Electrical Engineering, University of California, Santa Cruz, CA 95064; Department of Mechanical Engineering, University of Maryland, College Park, MD 20742; ERS Company LLC, 727 Alvina Court, Los Altos, CA 94024

Appl. Mech. Rev 63(5), 050803 (Mar 23, 2011) (16 pages) doi:10.1115/1.4003712 History: Received December 29, 2010; Revised February 17, 2011; Published March 23, 2011; Online March 23, 2011

The published work on analytical (“mathematical”) and computer-aided, primarily finite-element-analysis based, predictive modeling of the dynamic response of electronic systems to shocks and vibrations is reviewed. Understanding the physics and the ability to predict the response of an electronic structure to dynamic loading has been always of significant importance in military, avionic, aeronautic, automotive, and maritime electronics. For the past decade, this problem has become important also in commercial, and, particularly, in portable, electronics in connection with accelerated testing on the board level of various surface-mount technology systems. The emphasis of this review is on the nonlinear behavior of flexible printed circuit boards experiencing shock loading applied to their support contours.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Is the maximum acceleration always the right criterion of the dynamic strength of a structural element in an electronic product?

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Figure 2

PCB-induced vibrations of a heavy electronic device: natural frequency

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Figure 3

PCB-induced vibrations: response function for the maximum bending moments at the lead clamped ends

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Figure 4

Higher modes of drop-load induced vibrations are “responsible” in a linear system for only 23% of the accumulated strain energy. In a nonlinear system, this percentage will be even smaller.

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Figure 5

Free vibrations of a FBT coupler

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Figure 6

Nonlinear response of a PCB to a sudden acceleration applied to the PCB support contour

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Figure 7

Nonlinear response of a PCB to a sudden acceleration applied to its support contour: where to place the vulnerable device?

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Figure 8

“Bare” PCB; linear response; analytical versus FEA data

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Figure 9

“Bare” PCB; nonlinear response; analytical versus FEA data

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Figure 10

Experimental setup; dynamic response; combined action of tension and bending

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Figure 11

Nonlinear response; computed and measured bending and in-plane (“membrane”) components of the induced strain

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Figure 12

Error from substitution of an actual short-term loading with an instantaneous impulse in a linear single-degree-of-freedom system

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Figure 13

Nonlinear system; factor considering the effect of the finite duration of the impact loading on the induced amplitudes and accelerations

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Figure 14

Use a “box-in-a-box” shock protection structure in NCR portable electronics

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Figure 15

Calculated displacements and accelerations for different frequency ratios

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Figure 16

Ideal shock-absorber

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Figure 17

Nanowire array as a suitable cushion for shock protection of a portable device



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