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Unified Solution Method of Rectangular Plate Elastic Bending 被引量:9
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作者 许琪楼 姬同庚 +2 位作者 姜锐 唐国明 姬鸿恩 《Journal of Southeast University(English Edition)》 EI CAS 2002年第3期241-248,共8页
The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition a... The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point. The former can be solved directly by the equilibrium differential equation and the boundary conditions of four edges of the plate. The latter can be solved by using the superposition principle. Making use of the recommended method, the bending of the plate with all kinds of... 展开更多
关键词 bending of elastic thin plate rectangular plate unified solution method
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A unified solution method for free vibration analysis of functionally graded rotating type plates with elastic boundary condition
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作者 Poknam Han Gangchol Li +2 位作者 Kwanghun Kim Kwangil An Hoyong Yun 《Journal of Ocean Engineering and Science》 SCIE 2021年第2期109-127,共19页
In this paper,a unified solution method for analyzing the free vibration characteristics of functionally graded rotating type plate(FGRTP)of which the distribution of material is defined by four parameters is presente... In this paper,a unified solution method for analyzing the free vibration characteristics of functionally graded rotating type plate(FGRTP)of which the distribution of material is defined by four parameters is presented.It is assumed that the considered functionally graded materials(FGM)are distributed in the thickness direction according to four parameters.The displacement fields of any point on the FGRTP are determined by the first order shear deformation theory(FSDT),and all displacement functions are extended by ultraspherical polynomial.By applying the Ritz method to the energy function of the whole system,the constitutive equation of FGRTP is obtained and the natural frequencies are obtained by solving the eigenvalue problem.The boundary conditions are generalized to arbitrary boundary conditions by artificial elastic technique.The accuracy of the proposed method is verified by comparing with the previous literatures.The effects of different parameters on the free vibration characteristics of FGRTP are studied through some numerical examples. 展开更多
关键词 Functionally graded rotating-type plate Free vibration unified solution method Numerical analysis
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