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Akademický článek
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Autor:
Chen, Boyu, Liu, Shengkai, Zhi, Hongxin, Huang, Jin, Song, Han, Fan, Jiashen, Fu, Yujie, Liu, Zhiguo
Publikováno v:
Separation Science Plus; May2024, Vol. 7 Issue 5, p1-11, 11p
Autor:
Fan Jiashen
Publikováno v:
Applied Mathematical Modelling. 25(9):775-792
In this study, the governing equations for large deflection of elastic thin shallow shells are deduced into an algebraic cubic equation to determine the unknown coefficient of the assumed deflection by applying Galerkin's method in combination with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c6cc77ee04d5e1aedbc65cf2b0a9e01
Autor:
Fan Jiashen
Publikováno v:
Applied Mathematical Modelling. 25:793-801
This paper gives the analytical solution of mode III dynamic rupture having finite elastic deformation. The governing equation as a nonlinear PDE is deduced into an infinite system of nonlinear ODEs, and by applying the method of the successive itera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e94093f0b0cb65472503845f801e7d08
https://doi.org/10.1016/s0307-904x(01)00015-4
https://doi.org/10.1016/s0307-904x(01)00015-4
Autor:
Fan Jiashen
Publikováno v:
Applied Mathematics and Mechanics. 21:461-470
Introducing the nonlinear Rayleigh damping into the governing equation of the Mode III dynamic rupture for standard viscoelastic solid, this equation is a partial differential and integral equation. First, eliminating the integral term, a PDE of thir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64c398781ec17163c57afa1b9e689c78
https://doi.org/10.1007/bf02463769
https://doi.org/10.1007/bf02463769
Autor:
Fan Jiashen
Publikováno v:
Applied Mathematics and Mechanics. 21:335-340
The uniqueness for the solutions mentioned in the subject is proved by using the uniqueness of the solution for the internal boundary problem of Laplace and bi-Laplace equations of the first kind as well as of the second.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be37e8f4ef8a87881834fa58f44fc47f
https://doi.org/10.1007/bf02459012
https://doi.org/10.1007/bf02459012
Autor:
Fan Lei, Fan Jiashen
Publikováno v:
Applied Mathematical Modelling. 15:416-424
In this study, nonlinear Rayleigh damping is adopted so that the exciting as well as decaying process can be described in a strong earthquake. The shell foundation is considered to be viscoelastic to reflect the inner friction between molecules of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26d6eee9a285725c5b694cbdc18619cf
https://doi.org/10.1016/0307-904x(91)90029-o
https://doi.org/10.1016/0307-904x(91)90029-o
Publikováno v:
Applied Mathematical Modelling. 14(9):475-481
In this study, several mathematical modelling problems of traditional methods in seismic analysis of structures have been identified. It has been shown that assuming the motions of seismic response of structures to be harmonic or exponentially decayi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aeb1082409d2ddaaf966270d116bde0b