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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >On the Linear Intrinsic Dynamics of Thin Shells
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On the Linear Intrinsic Dynamics of Thin Shells

机译：薄壳的线性本征动力学

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摘要

Equations for the linear intrinsic dynamics of shells are presented and discussed. The variables in the proposed method are the six strain measures (1/2 x incremental metric and incremental curvature tensors of the reference surface). Two versions are presented. In the "compatibility version", the field equations are: (a) expressions for the three extensional strain-accelerations in terms of the stress resultants and loads, and (b) the three incremental Gauss and Codazzi-Mainardi compatibility equations of the reference surface. Constitutive relations are appended to complete the formulation. In the "rate version", the field equations are expressions for the six strain-accelerations (extensional and bending) in terms of the stress-resultants and loads. Equivalence to the "compatibility version" is shown, provided that the initial conditions are satisfied. Two examples are given. In the first, specialization is made to the case of circular cylindrical shells. In the second, an inplane vibration problem of a rectangular plate is studied.
机译：提出并讨论了壳的线性固有动力学方程。所提出的方法中的变量是六个应变量度（1/2 x增量度量和参考曲面的增量曲率张量）。介绍了两个版本。在“兼容性版本”中，场方程为：（a）关于应力合力和载荷的三个拉伸应变加速度的表达式，以及（b）参考表面的三个增量高斯和Codazzi-Mainardi兼容性方程。附加本构关系以完成公式。在“速率版本”中，场方程是关于六个应力加速度（拉伸应力和弯曲应力）的表达式，表示应力结果和载荷。如果满足初始条件，则显示与“兼容版本”的等效项。给出两个例子。首先，专门研究圆柱壳的情况。第二，研究矩形板的面内振动问题。

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