A general approach for finding the optimal support locations to maximize the fundamental natural frequency of vibrating structures is described in this paper. The key to the procedure is to place the necessary supports in such a way, so as to eliminate the lower modes from the original configuration. This is accomplished by placing supports along the nodal lines of the highest possible mode from the original configuration, so that all the other lower modes are eliminated by the introduction of new or extra supports to the structure. For two-dimensional analysis, the average driving point residues calculated along a nodal line is used as an indicator for finding the vicinity of the ideal support locations. [S1043-7398(00)00504-1]
Issue Section:
Technical Papers
1.
Steinberg, D. S., 1988, Vibration Analysis of Electronic Equipment, Wiley, New York.
2.
Brousse, P., 1988, Optimization in Mechanics: Problems and Methods, Elsevier Science, The Netherlands.
3.
Laura
, P. A. A.
, Ercoli
, L.
, and La Malfa
, S.
, 1995
, “Dynamic Stiffening of a Printed Circuit Board
,” Acustica
, 81
, pp. 196
–197
.4.
Laura
, P. A. A.
, and Cortinez
, V. H.
, 1995
, “Dynamic Stiffening of Thin Plates of Regular Polygonal Shape
,” J. Sound Vib.
, 183
, No. 4
, pp. 607
–614
.5.
Wang, B. P., and Nomura, S., 1989, “Optimal Support Location for Maximizing Fundamental Natural Frequency of a Free-Free Rectangular Plate,” Computer Aided Optimum Design of Structures: Recent Advances, Brebbia, C. A., and Hernandez, S., eds., Springer-Verlag, Berlin, pp. 277–286.
6.
Pitarresi
, J. M.
, and Di Edwardo
, A. V.
, 1993
, “A Design Approach for the Systematic Improvement of Support Locations for Vibrating Circuit Cards
,” ASME J. Electron. Packag.
, 115
, pp. 118
–123
.7.
Pitarresi
, J. M.
, and Kunz
, R. J.
, 1992
, “A Simple Technique for the Rapid Estimation of the Optimal Locations for a Vibrating Plate
,” ASME J. Vibr. Acoust.
, 114
, No. 1
, pp. 112
–118
.8.
Imamovic, N., and Ewins, D. J., 1997, “Optimization of Excitation DOF Selection for Modal Tests,” Proceedings of the International Modal Analysis Conference-IMAC. Vol. 2, SEM, Bethel, CT, USA, pp. 1945–1951.
9.
Lim
, G. H.
, Ong
, J. H.
, and Penny
, J. E. T.
, 1999
, “Effect of edge and internal point support on a printed circuit board under vibration
,” ASME J. Electron. Packag.
, 121
, pp. 122
–126
.10.
Ong
, J. H.
, and Lim
, G. H.
, 1999
, “Dynamic Finite Element Model Improvement of a PCB Structure
,” J. Vibr. and Control
, 5
, No 1
, pp. 57
–74
.Copyright © 2000
by ASME
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