Original scientific paper

Spectral method in moving load analysis of Kirchhoff-Love plates

Ivica Kožar ; Faculty of Civil Engineering, University Campus, 51000 Rijeka, Croatia
Neira Torić Malić ; Faculty of Civil Engineering, University Campus, 51000 Rijeka, Croatia

Abstract

This paper shows an application of the spectral method in dynamics of structures for the special case of thin plate under the action of a moving load. The spectral method formulated in terms of matrix operators is first described. The application of the method to the chosen model problem of the Kirchhoff-Love plate is illustrated through examples. We then elaborate upon dynamic analysis with moving loads. Again, some illustrative examples are used to present the application of spectral matrix operators. The examples include the Dirichlet and Neumann boundary conditions for simply supported - free plate, and complex loading conditions of a moving force. The boundary conditions have been imposed using Lagrange multipliers. The proposed approach based upon the spectral matrix operators is especially suitable for dealing with strong form of the problem. This is illustrated with strong form of thin plate structural dynamics equations. Moreover, the presented approach is sufficiently general and can be easily exploited for analysis of any other structure.

Keywords

dynamic structural analysis; matrix operators; moving load; spectral method; strong formulation; thin plates

Hrčak ID:

97482

URI

https://hrcak.srce.hr/97482

Publication date:

22.2.2013.

Article data in other languages: croatian

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