On discrete supports and continued support of structures
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.
KeywordsFree Vibration Seismic Response Continue Support Cool Tower Proper Energy
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- Gould, P.L. et al., Dynamic analysis of column-supported hyperboloidal shells,Earthquake Engineering and Structural Dynamics,2 (1974), 269–279.Google Scholar
- Sen, S.K. and P.L. Gould, Free vibration of shell of revolution using FEM,Journal of the Engineering Mechanic Division, ASCE,100, Em2, April (1974).Google Scholar
- Loo, W.D. et al., The finite element solution and model tests of free vibration of hyperbolic cooling tower supported.Proceedings of the 2nd International Symposium of Natural Draught Cooling Towers, Ruhr-Universitat, Bochum, Germany, September (1984), 5–7.Google Scholar
- Yang, T.Y. and R.K. Kapania, A set of shell finite elements for dynamic analysis of cooling towers,A Report to National Science Foundation, Washington, DC., U.S.A., Report No. NSF/CEE-82026, June (1982).Google Scholar
- Yang, T.Y. and R.K. Kapania, Shell elements for cooling towers analysis,Journal of the Engineering Mechanic Division, ASCE,109, Em5, October (1983).Google Scholar
- Deb Bath, J.M., Free vibration, stability and “non-classical modes” of cooling tower shells,Journal of Sound and Vibration,33, (1974), 79–101.Google Scholar
- Chien, W.Z.,Variational Method and Finite Element Method. Scientific Publishing House (1980). (in Chinese)Google Scholar
- Novozhilov, B.B.,Theory of Thin Shell, Scientific Publishing House, China (1963). (Chinese version)Google Scholar
- Wang, S., The dynamic reduction coefficients in simplifying discrete column support system of a shell. Res. Rep. No. CM-8623, Shanghai Institute of Appl. Math. and Mech.Google Scholar
- Wang, S. and Loo, W.D., The dynamic properties of hyperbolic cooling tower considering its circular footing and stiffness of soil, Res. Rep. No. CM-8620 (E), Shanghai Institute of Appl. Math. & Mech.Google Scholar
- Prodnikav, A.P. et al., Integrals and series-elemental functions,Physics-Mathematics Collection, edited by “Science”, Moscow (1984). (in Russian)Google Scholar