External electric leads, soldered into plated through-holes (PTHs) of printed circuit boards (PCBs), provide, in addition to electrical interconnection, mechanical support for heavy electronic components (such as, say, power ones) mounted on the boards. The leads can possibly break (most likely by fatigue), if the PCB support contour is subjected to excessive oscillations. Such oscillations typically occur at the lowest resonant frequency (fundamental frequency). The ability to predict this frequency and possibly avoid resonance conditions is of obvious practical importance. Accordingly, in this analysis, we develop a simple formula for the evaluation of the fundamental vibration frequency of a heavy electronic component mounted on a PCB. The formula is obtained for the case, when the component has only one row of leads, and the vibrations occur in the direction of the least flexural rigidity of this row. [S1043-7398(00)00601-0]

Issue Section:
Technical Papers
Keywords:
printed circuits, printed circuit accessories, vibrational modes, elastic waves, oscillations
Topics:
Electronic components, Oscillating frequencies, Oscillations, Printed circuit boards, Vibration, Stiffness, Resonance, Fatigue, Free vibrations
1.
Steinbeg, D. S., 1973, Vibration Analysis for Electronic Equipment, Wiley, New York.
2.
Markstein, H. W., 1987, “Designing Electronics for High Vibration and Shock,” Electron. Packag. Prod., April, pp. 40–43.
3.
Markstein
,
H. W.
,
1989
, “
Dealing with Vibration in Electronics
,”
Electron. Packag. Proc.
,
29
, No.
6
, pp.
30
–
34
.
4.
Suhir, E., and Lee, Y. C., 1990, “Thermal, Mechanical and Environmental Durability Design Methodologies in Electronic Packaging,” in Handbook of Electronic Materials, ASM International.
5.
Suhir
,
E.
,
1992
, “
Nonlinear Dynamic Response of a Flexible Thin Plate to Constant Acceleration Applied to its Support Contour, With Application to Printed Circuit Boards Used in Avionics Packaging
,”
Int. J. Solids Struct.
,
29
, No.
1
, pp.
41
–
55
.
6.
Suhir
,
E.
,
1992
, “
Response of a Flexible Printed Circuit to Periodic Shock Loads Applied to its Support Coutour
,”
ASME J. Appl. Mech.
,
59
, No.
2
, pp.
253
–
259
.
7.
Uschitsky, M., Suhir, E., Shepherd, L., and Lambert, W., 1996, “Predicted Dynamic Strength and Durability of a Network Interface Unit (NIU) Enclosure,” Structural Analysis in Microelectronics and Fiber Optics, E. Suhir, ed., ASME Press, New York.
8.
Darbha
,
K.
,
Ling
,
S.
,
Dasgupta
,
A.
,
1997
, “
Stress Analysis of Surface-Mount Interconnections Due to Vibrational Loading
,”
ASME J. Electron. Packag.
,
119
, p.
3
–
7
.
9.
Suhir, E., 1997, Applied Probability for Engineers and Scientists, McGraw-Hill, New York.
10.
Suhir
,
E.
, and
Burke
,
R.
,
1994
, “
Analysis and Optimization of the Dynamic Response of a Rectangular Plate to a Shock Load Acting on its Support Contour With Application to Portable Electronic Products
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part B
,
17
, No.
3
, pp.
449
–
460
.
11.
Suhir
,
E.
,
1995
, “
Shock Protection with a Nonlinear Spring
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part A
,
18
, No.
2
, pp.
430
–
437
.
12.
Suhir
,
E.
,
1996
, “
Shock-Excited Vibrations of a Conservative Duffing Oscillator, With Application to Shock Protection in Portable Electronics
,”
Int. J. Solids Struct.
,
33
, No.
24
,
3627
–
3642
.
13.
Suhir
,
E.
,
1996
, “
Dynamic Response of a Single-Degree-of-Freedom Linear System to a Shock Load During Drop Tests: Effect of Viscous Damping
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part A
,
19
, No.
3
, pp.
435
–
440
.
14.
Suhir
,
E.
,
1997
, “
Is the Maximum Acceleration an Adequate Criterion of the Dynamic Strength of a Structural Element in an Electronic Product?
,”
IEEE Trans. Compon., Packag., Manuf. Technol., Part A
,
20
, No.
4
, pp.
513
–
517
.
15.
Suhir
,
E.
,
1992
, “
Elastic Stability, Free Vibrations and Bending of Optical Glass Fibers: the Effect of the Nonlinear Stress-Strain Relationship
,”
Appl. Opt.
,
31
, No.
24
, pp.
5080
–
5085
.
16.
Suhir
,
E.
,
1992
, “
Vibration Frequency of a Fused Biconical Taper (FBT) Lightwave Coupler
,”
IEEE/OSA J. Lightwave Tech.
,
10
, No.
7
, pp.
898
–
902
.
17.
Suhir
,
E.
,
1992
, “
Free Vibrations of a Fused Biconical Taper Lightwave Coupler
,”
Int. J. Solids Struct.
,
29
, No.
24
, pp.
3145
–
3152
.
18.
Timoshenko, S. P., and Young, D. H., 1995, Vibration Problems in Engineering, 3rd ed., Van-Nostrand, New York.
19.
Suhir, E., 1991, Structural Analysis in Microelectronic and Fiber Optic Systems, Vol. 1, VanNostrand Reinhold, New York.
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