An Equivalent-Center-Weight Factor Method For Predicting Fundamental Frequencies Of Plates Carrying Multiple Masses From Experimental Test Data
✍ Scribed by K.H. Low
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 970 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
This paper is concerned with the fundamental frequencies of vibrating rectangular plates with masses mounted on various locations. The study is particularly useful in the understanding of the vibration of printed circuit boards used in the electronics industry. In the first analysis, experimental tests on two aluminum plates carrying a single mass, through a shaker system, were conducted to collect useful data. The plates are, respectively, (460 \times 420 \times 2 \mathrm{~mm}) and (710 \times 420 \times 2 \mathrm{~mm}). The experimental results confirm that the fundamental frequency of the plate decreases as the weight of the mass component is increased, and the frequency increases as the mass moves away from the center of the plate. In conjunction with an equivalent-center-weight factor (ECWF) method is described, which enables one to predict the fundamental frequencies of the loaded plates carrying multiple masses by using merely the data measured earlier for the respective plates with a single mass. Numerical results for the two plates with various loading configurations having four masses have been compared with those found experimentally. Good agreement between computed and experimental results is obtained. It is concluded that the ECWF method enables one to obtain analytically a quick and relatively accurate estimation of the fundamental frequencies of plates carrying concentrated masses at various positions.