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《Journal of Vibration and Shock》 2007-01
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Li Chunxiang~1,Si Weijian~2(1.Department of Civil Engineering,Shanghai University,Shanghai 200072;2.Department of civil Engineering,shanghai Jiaotong university,Shanghai 200030)  
The authors present a numerical analysis procedure,referred to as the bidirectional spline discretization procedure,for vibration analysis of an isotropic and orthotropic rectangular plate with possible combinations of the three classical boundary conditions of free(F),simply supported(S), and clamped(C) edges with one guided(G) boundary condition.By discretization through,respectively,dividing the plate into N and M equal subintervals in the x and y directions,the modified B3-spline functions,consisting of the(N+3) and (M+3) local B3-spline functions(The first three and the last three local B3-spline functions have been modified for accommodating to any type of boundary conditions.) with respect to the(N+1) points and two extended additional points in the x direction and the(M+1) points and two extended additional points in the y direction,are employed as the displacement trial functions.Making use of the modified B3spline functions,only one unknown coefficient is required to be determined,respectively,for the deflection(displacement) and the first and the second derivatives of the deflection at a given bound.Characteristic equation of a rectangular plate is derived based on its potential energy functional.In comparison to the finite element method(FEM) and the spline finite strip method(FSM),the present procedure has remarkably fewer numbers of degree of freedom(DOF),and thus it is computatively more efficient.Likewise,the computational program,with minimal preparation of input data,can be developed through the proposed formulation.The numerical results indicate that the proposed method can render a very high accuracy.
【CateGory Index】: TU311
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2 Yang Xiaodong~1 Chen Liqun~(2,3)(1.Department of Engineering Mechanics,Shenyang Institute of Aeronautical Engineering,Shenyang 110034;2.Department of Mechanics,Shanghai University,Shanghai 200436;3.Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072);VIBRATIONS OF AN AXIALLY TRANSPORTING BEAM WITH TORSIONAL SPRINGS AND SIMPLY SUPPORTED[J];Journal of Vibration and Shock;2006-04
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【Secondary Citations】
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1 Li Chunxiang 1, Xiong Xueyu 2(1.School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, China;2.Prestress Research Institute of Tongji University, Shanghai 200092, China);Optimum Multiple Tuned Mass Dampers based on ADMF and the combinations available of the system parameters under earthquake[J];Chinese Journal of Computational Mechanics;2002-03
2 Li Chunxiang 1 Xiong Xueyu 2 Si Weijian 1 (1.School of Civil Engineering and Mechanics,Shanghai Jiaotong University,Shanghai 200030; 2.School of Civil Engineering.Tongji University,Shanghai 200092);EVALUATION OF THE EFFECT OF DISPLACEMENT-CONTROL-BASED MTMD ON THE ACCELERATION OF THE STRUCTURE SUBJECTED TO EARTHQUAKE[J];Journal of Vibration and Shock;2003-01
3 Li Chunxiang Du Dong (School of Civil Engineering and Mechanics,Shanghai Jiaotong University,Shanghai 200030);ROBUSTNESS OF MTMD TO PERTURBATION IN STRUCTURAL STIFFNESS AND MASS[J];Journal of Vibration and Shock;2004-01
4 Li Chunxiang Zhou Dai (School of Civil Engineering,Shanghai Jiaotong University,Shanghai 200030);COMPARATIVE STUDY ON PERFORMANCE OF DISPLACEMENT RESPONSE CONTROL BASED MTMD FOR STRUCTURES UNDER VARIOUS EXCITATIONS[J];Journal of Vibration and Shock;2004-02
5 Li Chunxiang (School of Civil Engineering and Mechanics,Shanghai Jiao Tong University,Shanghai 200030);PERFORMANCE ASSESSMENT OF MODELING OF STIFFNESS-DASHPOT BASED ACTIVE MULTIPLE TUNED MASS DAMPERS[J];Journal of Vibration and Shock;2004-04
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