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http://dx.doi.org/10.1016/j.ijnaoe.2016.05.013

A unified solution for vibration analysis of plates with general structural stress distributions  

Yang, Nian (State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University)
Chen, Lu-Yun (State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University)
Yi, Hong (State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University)
Liu, Yong (Ship Scientific Research Center of China)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.8, no.6, 2016 , pp. 615-630 More about this Journal
Abstract
Complex stress distributions often exist in ocean engineering structures. This stress influences structural vibrations. Finite Element Methods exhibit some shortcomings for solving non-uniform stress problems, such as an unclear physical interpretation, complicated operation, and large number of computations. Analytical methods research considers mainly uniform stress problems, and often, their methods cannot be applied in practical marine structures with non-uniform stress. In this paper, an analytical method is proposed to solve the vibration of plates with general stress distributions. Non-uniform stress is expressed as a special series, and the stress influence is inserted into a vibration equation that is solved through decoupling to obtain an analytical solution. This method has been verified using numerical examples and can be used in arbitrary stress distribution cases. This method requires fewer computations and it provides a clearer physical interpretation, so it has advantages in some qualitative research.
Keywords
Structural stress; Plate structure; Vibration; Analytical method;
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Times Cited By KSCI : 6  (Citation Analysis)
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