Record number :
Title of article :
LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS
Author/Authors :
C.M. Wang، نويسنده , , R.K. Luo and W.X. Wu، نويسنده , , C. Shu، نويسنده , , T. UTSUNOMIYA and R. EATOCK TAYLOR، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
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Abstract :
The Ritz method and some finite element formulations fail to furnish accurate modal stress-resultants for vibrating plates with free edges, even though the natural frequencies and mode shapes are accurately obtained. For example, by using the Ritz method, it was found that the modal twisting moments and shear forces violate the natural boundary conditions and that they contain erroneous “oscillations”. This paper presents the least squares finite difference (LSFD) method for solving the freely vibrating plate problem. It will be shown herein that the modal stress-resultants obtained by the LSFD method satisfy the natural boundary conditions at the free edges without any oscillations.
Keywords :
Modal stress-resultant , Least squares finite difference method , Vibration , plates , Very large floating structures , Natural boundary conditions
Journal title :
Computers and Structures
Serial Year :
Link To Document :