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TECHNICAL PAPERS

A Simple Technique for Maximizing the Fundamental Frequency of Vibrating Structures

[+] Author and Article Information
J. H. Ong, G. H. Lim

School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798

J. Electron. Packag 122(4), 341-349 (Feb 25, 2000) (9 pages) doi:10.1115/1.1289632 History: Received July 13, 1999; Revised February 25, 2000
Copyright © 2000 by ASME
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References

Figures

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(a) A uniform cantilever; (b) first mode of transverse vibration of a uniform cantilever; (c) second mode of transverse vibration of a uniform cantilever; (d) third mode of transverse vibration of a uniform cantilever
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A uniform beam with simply supported ends
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(a) Rigid body translation of a free-free beam; (b) rigid body rotation of a free-free beam; (c) first elastic mode of a free-free beam
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Average driving point residues for 21 points along a nodal line
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(a) Case 1—clamped simply supported beam; (b) Case 1—fundamental frequency versus support location of beam
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(a) Case 2—beam with clamped-simple-simple supports; (b) Case 2—fundamental natural frequency versus support locations A and B
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(a) Case 3—simply supported beam; (b) Case 3—fundamental natural frequency versus dimensionless support locations of A and B
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Case 4—rectangular plate showing corner supports (open circles) and improved supports (solid circles)
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(a) Case 4—first elastic mode under free edge boundary condition; (b) Case 4—plots of second elastic mode under free edge boundary condition; (c) Case 4—plots of third elastic mode under free edge boundary condition; (d) Case 4—plots of fourth elastic mode under free edge boundary condition; (e) Case 4—plots of fifth elastic mode under free edge boundary condition
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Case 4—fundamental frequency versus support locations of plate
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Case 4—sum of natural frequency (SNF) versus support locations of plate
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Case 5—finite element mesh of printed circuit board (PCB)
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(a) Case 5—fundamental mode shape of PCB without internal point restraint; (b) second mode shape of PCB without internal point restraint
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Case 5—effect of internal point support, percent increase of fundamental frequency

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