4. Free vibration of orthotropic thin plate with clamped edges

Yang Zhong1, Wei Ting Bao2

School of Civil Engineering, Dalian University of Technology,
Dalian 116024, Liaoning Province, P. R. China, Tel: 86-0411-84707837, Fax: 86-0411-84707838

1Corresponding author

E-mail: 1zhongy@dlut.edu.cn

(Received 31 March 2015; received in revised form 1 May 2015; accepted 15 May 2015)

Abstract. The explicit solutions for the natural frequencies and mode shapes of the orthotropic rectangular plate with four clamped edges are presented by the double finite cosine integral transform method. In the analysis procedure, the classical orthotropic rectangular thin plate is considered. Because only are the basic dynamic elasticity equations of the orthotropic thin plate adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by this paper is reasonable and theoretical. Finally, an illustrative example is given and the results are compared with those reported earlier. This method is found to be easier and effective. The results show reasonable agreement with other available results, but with a simpler and practical approach.

Keywords: rectangular orthotropic plate, four clamped edges, natural frequencies and mode shapes, finite integral transform.

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Cite this article

Zhong Yang, Bao Wei Ting Free vibration of orthotropic thin plate with clamped edges. Mathematical Models in Engineering, Vol. 1, Issue 1, 2015, p. 26‑33.

 

Mathematical Models in Engineering. June 2015, Volume 1, Issue 1
JVE International Ltd. ISSN Print 2351-5279, ISSN Online 2424-4627, Kaunas, Lithuania