On discrete supports and continued support of structures |
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Authors: | Wang Shu |
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Institution: | Shanghai University of Technology; Shanghai Inst.of Appl.Math and Mech., Shanghai |
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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 support. 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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