AN EXACT SERIES SOLUTION FOR CALCULATING THE EIGENFREQUENCIES OF ORTHOTROPIC PLATES WITH COMPLETELY FREE BOUNDARY
AN EXACT SERIES SOLUTION FOR CALCULATING THE EIGENFREQUENCIES OF ORTHOTROPIC PLATES WITH COMPLETELY FREE BOUNDARY
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DOI：
10.1006/jsvi.2000.3541
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发表时间：
2001-07
影响因子：
4.7
通讯作者：
S. Hurlebaus;L. Gaul;J. Wang
中科院分区：
文献类型：
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作者：
S. Hurlebaus;L. Gaul;J. Wang
本文将Wang和Lin（1996 Journal of Sound and Vibration 196，285-293; 1999 Journal of Applied Mechanics 66，380-387）[1，2]提出的结构力学中边值问题的分析方法推广到计算正交各向异性板在所有自由边界条件下的固有频率。级数解的收敛性是有保证的，该过程导致逐点精确解。用不同的方法对计算出的本征频率进行了验证，表明该方法简单有效。
Abstract An analysis for solving boundary value problems in structural mechanics which was proposed by Wang and Lin (1996 Journal of Sound and Vibration 196 , 285–293; 1999 Journal of Applied Mechanics 66 , 380–387) [1, 2] has been extended to the calculation of the eigenfrequencies of an orthotropic plate under all free boundary conditions. The convergence of the series solution is assured and the procedure leads to pointwise exact solutions. The calculated eigenfrequencies have been verified by a different approach and indicate that the present method is simple and effective.