Applied Mathematics and Mechanics

, Volume 9, Issue 11, pp 1087–1096 | Cite as

On discrete supports and continued support of structures

  • Wang Shu


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.


Free Vibration Seismic Response Continue Support Cool Tower Proper Energy 
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Copyright information

© SUT 1988

Authors and Affiliations

  • Wang Shu
    • 1
  1. 1.Shanghai Inst, of Appl. Math and Mech.Shanghai University of TechnologyShanghai

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