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A unified prediction solution for vibro-acoustic analysis of composite laminated elliptical shells immersed in air 被引量:3
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作者 GUAN Xian-lei ZHONG Rui +2 位作者 QIN Bin WANG Qing-shan SHUAI Ci-jun 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第2期429-444,共16页
A semi-analytical method to conduct vibro-acoustic analysis of a composite laminated elliptical shell immersed in air is proposed.A variational method and multi-segment technique are used to formulate the dynamic mode... A semi-analytical method to conduct vibro-acoustic analysis of a composite laminated elliptical shell immersed in air is proposed.A variational method and multi-segment technique are used to formulate the dynamic model.The sound radiation of the exterior fluid field is calculated by a spectral Kirchhoff–Helmholtz integral formulation.The variables containing displacements and sound pressure are expanded by the combination of Fourier series and Chebyshev orthogonal polynomials.The collocation points are introduced to construct an algebraic system of acoustic integral equations,where these points are distributed on the roots of Chebyshev polynomials,and the non-uniqueness solution of system is eliminated by a combined Helmholtz integral.Numerical examples for sound radiation problems of composite laminated elliptical shells are presented and individual contributions of the circumferential modes to the acoustical results of composite laminated elliptical shells are also given.The effects of geometric and material parameters on sound radiation of composite laminated elliptical shells are also investigated. 展开更多
关键词 composite laminated elliptical shells semi-analytical method VIBRATION sound radiation
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Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory
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作者 A.Mohammadpour S.Jafari Mehrabadi +1 位作者 P.Yousefi H.Mohseni Monfared 《Advances in Applied Mathematics and Mechanics》 SCIE 2023年第6期1655-1698,共44页
Recently,the use of porous materials has grown widely in many structures,such as beams,plates,and shells.The characteristics of porous materials change in the thickness direction by different functions.This study has ... Recently,the use of porous materials has grown widely in many structures,such as beams,plates,and shells.The characteristics of porous materials change in the thickness direction by different functions.This study has investigated the free vibration analysis of a sandwich porous elliptical micro-shell with a magneto-rheological fluid(MRF)core for the first time.Initially,we examined the displacement of the middle layer’s macro-and micro-components,using Love’s shell theory.Next,we used the modified couple stress theory(MCST)to obtain the strain and symmetrical curvature tensors for the three layers.The Hamilton’s principle was implemented to derive the equations of motion.We also used the Galerkin’s method to solve the equations of motion,resulting in a system of equations in the form of a linear eigenvalue problem.By solving the governing equations,we obtained the various natural frequencies and loss factors of the elliptical micro-shell,and compared them with the results in earlier studies.Lastly,we investigated the effects of thickness,porosity distribution pattern,aspect ratio,length scale parameter,and magnetic field intensity on the natural frequency and loss factor of the micro-shell.The data accuracy was validated by comparing them with those of reputable previous articles. 展开更多
关键词 elliptical micro shell free vibration magneto-rheological core modified couple stress theory sandwich porous material
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Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model
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作者 Xiaoqin Shen Qian Yang +1 位作者 Lin Bai Kaitai Li 《Communications in Computational Physics》 SCIE 2021年第1期186-210,共25页
In this study,the dynamics of elliptic membrane shell model has been proposed and discussed numerically for the first time.Firstly,we show that the solution of this model exists and is unique.Secondly,we consider spat... In this study,the dynamics of elliptic membrane shell model has been proposed and discussed numerically for the first time.Firstly,we show that the solution of this model exists and is unique.Secondly,we consider spatial and time discretizations of the time-dependent elliptic membrane shell by finite element method and Newmark scheme,respectively.Then,the corresponding existence,uniqueness,stability,convergence and a priori error estimate are given.Finally,we present numerical results involving a portion of an ellipsoidal shell and a portion of a spherical shell to verify the efficiency and convergence of the numerical scheme. 展开更多
关键词 Elliptic membrane shell finite element method full discretization ellipsoidal shell spherical shell
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