结构中的离散弹性支承

王蜀

结构中的离散弹性支承

王蜀

上海市应用数学和力学研究所

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出版历程
- 收稿日期: 1987-12-09
- 刊出日期: 1988-11-15

On Discrete Supports and Continued Support of Structures

Wang Shu

Shanghai University of Technology, Shanghai Inst, of Appl, Math and Mech., Shanghai

摘要

摘要: 有几篇文章已经涉及结构的离散弹性支承.它与连续弹性支承有什么关系,两种支承情况对于结构动力特性产生多大差异,这是人们关心的问题.本文通过分析指出,频率是反应系统总能量中动能和势能的比例关系,离散支承和连续支承之间通过某种能量的等效转化,可保证频率不变.并给出了梁的理论推导和旋转壳的的数值结果.

Abstract: There have been several papers dealing with elastic discrete supports of structures.And we are interested in what relation there is between elastic discrete supports and continued support and what difference would result in for dynamic properties of structures under the two kinds of supports.Through the present analysis, it is pointed out that natural frequencies reflect a certain proportion of kinetic and potential energies in total energy of a system, and the frequencies can be guaranteed to be invariable in transforming between elastic discrete and continued supports by means of a proper energy equivalence.And the theoretical formulation of beams and numerical results of shells of revolution are presented in this paper.

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参考文献(14)

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