Jin Wen-lu. Variational Principles of Elastic-Viscous Dynamics in Laplace Transformation Form, F. E. M. Formulation and Numerical Method[J]. Applied Mathematics and Mechanics, 1984, 5(6): 841-848.
 Citation: Jin Wen-lu. Variational Principles of Elastic-Viscous Dynamics in Laplace Transformation Form, F. E. M. Formulation and Numerical Method[J]. Applied Mathematics and Mechanics, 1984, 5(6): 841-848.

# Variational Principles of Elastic-Viscous Dynamics in Laplace Transformation Form, F. E. M. Formulation and Numerical Method

• Publish Date: 1984-12-15
• The authbr gives variatioaal principles of elastic-viscous damics is spectral resolving formula, it will be eatended to Laplace traasformetioa forte is this paper, mined variational principle of shell dynamics and variational principle of dynamics of dynamics of elastic-viscous-porous media are concerned,for the.later F., E. M. formulation is worked out.Variatioaal principles is Laplace transformation force have concise forms, for the sake of utilizing F, E. M. conveniently, it is necessary.to find out the values of preliminary time function at some instants, when values,of Laplace transformation at some points are known, but there are no efficient methods till now. In this paper, a aumerival method for finding discrete values of preliauaary function is presented, from numerical wzgmnles, we see such a method is efficient.By corubiaiag. both methods,stated above, variatioaal principles is Laplace transformatioa form and:numerical method,quite wide district of solid, dynamic problems can be solved by the aid of digital computers.
•  [1] Jin Wea-lu,Computatioa of thb finite element methods by spectral resolriag of strnctural dynamics(The fotmulation of element dynamic behavior matrices),Proceedings of the Intetnationbl Confrence on Finite Element Methods,Science.Press,Beijing(1982),155-160. [2] 金问鲁、吴淦卿,三维粘土固结与次时间效应问题的解及其应用,土木工程学报(1982,2),19-40. [3] Tjoag-Kie,T.,Coasolidatioa and secondary time effect of homogeneous,saisotropic,saturated clay strata,Proceedings of the 5th International Conference on Soil Mechonits and Foundation Engineering(1961),367-374. [4] Sandhu,Raabir S.and Edward L.Wilson,Fiait element analysis of flow of saturated porous elastic media,J,Eng,Mech.Div.ASCE,85,EM3(1969),611-652.

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