Exact Solutions for Vibration strongYstrong. Xiang of Multi-Span.pdfVIP

Exact Solutions for Vibration Y. Xiang of Multi-Span Rectangular Center for Construction Technology and Research, University of Western Sydney, Mindlin Plates Penrith South DC NSW 1797, Australia email: y.xiang@uws.edu.au This paper presents the first-known exact solutions for the vibration of multi-span rect- G. W. Wei angular Mindlin plates with two opposite edges simply supported. The Levy type solution Department of Computational Science, method and the state-space technique are employed to develop an analytical approach to National University of Singapore, deal with the vibration of rectangular Mindlin plates of multiple spans. Exact vibration Singapore 117543 frequencies are obtained for two-span square Mindlin plates with varying span ratios and email: cscweigw@nus.edu.sg two-, three- and four-equal-span rectangular Mindlin plates. The influence of the span ratios, the number of spans and plate boundary conditions on the vibration behavior of square and rectangular Mindlin plates is examined. The presented exact vibration results may serve as benchmark solutions for such plates. DOI: 10.1115/1.1501083 1 Introduction these plates. We shall consider a multi-span rectangular Mindlin plate with two opposite edges simply supported while the other