Author
Y.-T. Lee
Bio: Y.-T. Lee is an academic researcher from National Sun Yat-sen University. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 2, co-authored 2 publications receiving 59 citations.
Papers
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TL;DR: In this paper, a finite element method for 3D vibration analysis of annular and circular plates is presented. But the method is different from the traditional 3D finite element analysis and is reduced to a sequence of 2-D analyses one for each circumferential wave number.
57 citations
TL;DR: In this article, the authors investigated axisymmetric straining modes of vibrating circular plates and classified them into three types and a criterion is set up to predict the appearance of these modes.
5 citations
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TL;DR: In this paper, the effect of shear deformations using the first-order shear deformation theory is derived and solved exactly for various combinations of boundary conditions by using the exact element method.
299 citations
TL;DR: In this article, a semi-analytical method using the state space method and the one-dimensional differential quadrature method is used to obtain the vibration frequencies and dynamic responses of circular plates.
132 citations
TL;DR: In this paper, a three-dimensional free vibration analysis of circular and annular plates via the Chebyshev-Ritz method is presented, which is based on the linear, small strain, 3D elasticity theory.
122 citations
TL;DR: In this article, the authors present an overview of various semi-analytical numerical methods for quasi-three-dimensional (3D) analyses of laminated composite and multilayered (or sandwiched) functionally graded elastic/piezoelectric materials (FGEMs/FGPMs) plates and shells with combinations of simply-supported, free and clamped edge conditions.
106 citations
TL;DR: It is shown that the mass matrices of C0 finite element in DQFEM are diagonal, which can reduce the computational cost for dynamic problems, and the reformulated DQ rules for curvilinear quadrilateral domain and its implementation are presented.
Abstract: This paper studies the differential quadrature finite element method (DQFEM) systematically, as a combination of differential quadrature method (DQM) and standard finite element method (FEM), and formulates one- to three-dimensional (1-D to 3-D) element matrices of DQFEM. It is shown that the mass matrices of C0 finite element in DQFEM are diagonal, which can reduce the computational cost for dynamic problems. The Lagrange polynomials are used as the trial functions for both C0 and C1 differential quadrature finite elements (DQFE) with regular and/or irregular shapes, this unifies the selection of trial functions of FEM. The DQFE matrices are simply computed by algebraic operations of the given weighting coefficient matrices of the differential quadrature (DQ) rules and Gauss-Lobatto quadrature rules, which greatly simplifies the constructions of higher order finite elements. The inter-element compatibility requirements for problems with C1 continuity are implemented through modifying the nodal parameters using DQ rules. The reformulated DQ rules for curvilinear quadrilateral domain and its implementation are also presented due to the requirements of application. Numerical comparison studies of 2-D and 3-D static and dynamic problems demonstrate the high accuracy and rapid convergence of the DQFEM.
84 citations