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首页> 外文会议>SSTA(Shell Structures: Theory and Applications) Conference; 20051012-14; Jurata(PL) >Investigation of vibration of laminated plates of an arbitrary shape
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Investigation of vibration of laminated plates of an arbitrary shape

机译：任意形状的叠层板的振动研究

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摘要

While calculating laminated plates it is required to take into account the physical characteristics of layers, which can differ essentially from each-other. Therefore the refined theories counting up shift deformations of layers, as a rule, are used for calculation of such elements. In this case the governing system of the differential equations is significally complicated. In the present work Timoshenko type theory of plates is applied. The new methods based on the R-functions theory for solving system of differential equations are proposed. The main advantage of this approach is the opportunity of counting up complex geometry and constructing solutions in an analytical form.
机译：在计算层压板时，需要考虑各层的物理特性，这些物理特性可能会彼此根本不同。因此，通常将向上计算层的位移变形的精确理论用于此类元素的计算。在这种情况下，微分方程的控制系统非常复杂。在本工作中，采用了Timoshenko型板理论。提出了基于R函数理论求解微分方程组的新方法。这种方法的主要优点是有机会计算出复杂的几何形状并以解析形式构造解决方案。

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