Journal ArticleDOI
Finite element analysis of three-dimensional vibrations of thick circular and annular plates
C.-F. Liu,Y.-T. Lee +1 more
TLDR
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.About:
This article is published in Journal of Sound and Vibration.The article was published on 2000-05-25. It has received 57 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
Citations
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Journal ArticleDOI
Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
Elia Efraim,Moshe Eisenberger +1 more
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.
Journal ArticleDOI
Semi-analytical solution for three-dimensional vibration of functionally graded circular plates
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.
Journal ArticleDOI
A review of semi-analytical numerical methods for laminated composite and multilayered functionally graded elastic/piezoelectric plates and shells
Chih Ping Wu,Yan Cheng Liu +1 more
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.
Journal ArticleDOI
A differential quadrature finite element method
Yufeng Xing,Bo Liu,Guang Liu +2 more
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.
Journal ArticleDOI
Vibration analysis of non-homogeneous circular plate of nonlinear thickness variation by differential quadrature method
TL;DR: In this article, free axisymmetric vibrations of non-homogeneous isotropic circular plates of nonlinear thickness variation have been analyzed on the basis of classical plate theory employing the DQ method.
References
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Journal ArticleDOI
Vibrations of Thick Free Circular Plates, Exact Versus Approximate Solutions
Journal ArticleDOI
A simple finite element analysis of axisymmetric vibration of annular and circular plates
Chorng-Fuh Liu,Ge-Tzung Chen +1 more
TL;DR: In this paper, the axisymmetric vibration of annular and circular plates, isotropic or polar orthotropic, is analyzed by an axismmetric finite element.
Book ChapterDOI
On the Vibration of Thick Annular Plates
TL;DR: In this article, the vibrations of annular plates with various boundary conditions on the inner and outer boundaries are treated by several methods, including the well known Mindlin Plate Theory in which the effects of shear and rotary inertia are included.
Journal ArticleDOI
Axisymmetric straining modes in the vibration of circular plates
C.-F. Liu,Y.-T. Lee +1 more
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.