Author
M.K. Prabhakara
Bio: M.K. Prabhakara is an academic researcher from University of Calgary. The author has contributed to research in topics: Orthotropic material & Boundary value problem. The author has an hindex of 1, co-authored 1 publications receiving 42 citations.
Papers
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TL;DR: In this paper, an analytical analysis of free flexural large amplitude vibrations of orthotropic rectangular plates with all-clamped and all-simply supported stress-free edges is presented.
43 citations
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TL;DR: In this article, the von Karman type of geometrically nonlinear strain-displacement relationships, and harmonic balance method were used in deriving the equation of motion.
155 citations
TL;DR: In this article, the geometrically nonlinear free vibration of symmetrically laminated rectangular plates (1st and higher modes) and the higher mode of an isotropic plate with fully clamped boundary conditions is studied, using the hierarchical finite element method (HFEM).
84 citations
TL;DR: In this article, the geometrically non-linear free vibration of thin composite laminated plates is investigated by using a theoretical model based on Hamilton's principle and spectral analysis previously applied to obtain the nonlinear mode shapes and resonance frequencies of thin straight structures, such as beams, plates and shells.
74 citations
TL;DR: In this paper, a multimode time-domain modal formulation based on the finite element method for large-amplitude free vibration of thin composite plates is presented, and accurate frequency-maximum deflection relations can be predicted for the fundamental and the higher nonlinear modes.
Abstract: A multimode time-domain modal formulation based on the finite element method for large-amplitude free vibration of thin composite plates is presented. Accurate frequency-maximum deflection relations can be predicted for the fundamental and the higher nonlinear modes. A modal participation is defined, and accurate and convergent frequencies can be determined with minimum number of linear modes. A procedure for the selection of initial conditions for periodic plate response is presented. Convergence of frequency with gridwork refinement and number of linear modes is studied. The classical single-mode elliptic function frequency solutions for simply supported beams and square plates are assessed. Examples of orthotropic and composite plates are given, and the characteristics of nonlinear response are studied.
60 citations
TL;DR: In this paper, a more realistic and complete study of the geometrically non-linear free vibrations of clamped immovable circular plates by taking into account the in-plane deformation is presented.
59 citations