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M. Ganapathi

Bio: M. Ganapathi is an academic researcher from VIT University. The author has contributed to research in topics: Finite element method & Rotary inertia. The author has an hindex of 33, co-authored 102 publications receiving 3142 citations. Previous affiliations of M. Ganapathi include Indian Institute of Technology Madras & Indian Institute of Technology Delhi.


Papers
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Proceedings ArticleDOI
07 Aug 2002
TL;DR: The design of this new finite element involves field variable and its derivatives as degrees of freedom compared to the standard Lagrangian polynomial based finite element available in the literature, which leads to significant saving in CPU time and memory requirements.
Abstract: The finite element method allows one to solve large-scale, complex electromagnetic problems. It is also highly amenable to automation. Here, a numerical solution based on third-order C/sup 1/ triangular finite element is proposed for solving 2D electromagnetic field problems. The design of this new finite element involves field variable and its derivatives as degrees of freedom compared to the standard Lagrangian polynomial based finite element available in the literature. The performance/effectiveness of the present method is studied against that of standard element. For almost same accuracy, the number of equations to be handled based on present formulation reduces to less than half of those of standard element, which, in turn, leads to significant saving in CPU time and memory requirements.

1 citations

01 Jan 2010
TL;DR: In this article, the authors investigated large amplitude flexural vibration characteristics of functionally graded material plates under aerodynamic load using the finite element approach and developed a formulation based on the first-order shear deformation theory considering the physical / exact neutral surface position.
Abstract: Large amplitude flexural vibration characteristics of functionally graded material plates under aerodynamic load are investigated here using the finite element approach. Material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution and the effective material properties are evaluated based on the rule of mixture. The formulation is developed based on the first-order shear deformation theory considering the physical / exact neutral surface position. The shear correction factors are evaluated from the energy equivalence principle. The geometric nonlinearity, based on von Karman's assumptions is introduced and the first-order high Mach number approximation to linear potential flow theory is employed for evaluating the aerodynamic pressure. The harmonic balance method is applied to study the nonlinear free flexural vibration frequencies of FGM plates and flexural vibration amplitude of FGM plates under supersonic air speeds. Further, the nonlinear equation of motion is solved using Newmark's time integration technique to understand the flexural vibration behavior (limit cycle oscillations or chaotic) of FGM plates under aerodynamic load.

Cited by
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Journal ArticleDOI
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Abstract: This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture. The critical areas where further research is needed for a successful implementation of FGM in design are outlined in the conclusions. DOI: 10.1115/1.2777164

1,008 citations

Book
19 May 2005
TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
Abstract: Preface Introduction 1. Fluid field equations and modal analysis in rigid containers 2. Linear forced sloshing 3. Viscous damping and sloshing suppression devices 4. Weakly nonlinear lateral sloshing 5. Equivalent mechanical models 6. Parametric sloshing (Faraday's waves) 7. Dynamics of liquid sloshing impact 8. Linear interaction of liquid sloshing with elastic containers 9. Nonlinear interaction under external and parametric excitations 10. Interactions with support structures and tuned sloshing absorbers 11. Dynamics of rotating fluids 12. Microgravity sloshing dynamics Bibliography Index.

920 citations

Book
01 Aug 2014
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
Abstract: Introduction. 1. Nonlinear theories of elasticity of plates and shells 2. Nonlinear theories of doubly curved shells for conventional and advanced materials 3. Introduction to nonlinear dynamics 4. Vibrations of rectangular plates 5. Vibrations of empty and fluid-filled circular cylindrical 6. Reduced order models: proper orthogonal decomposition and nonlinear normal modes 7. Comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells 8. Effect of boundary conditions on a large-amplitude vibrations of circular cylindrical shells 9. Vibrations of circular cylindrical panels with different boundary conditions 10. Nonlinear vibrations and stability of doubly-curved shallow-shells: isotropic and laminated materials 11. Meshless discretization of plates and shells of complex shapes by using the R-functions 12. Vibrations of circular plates and rotating disks 13. Nonlinear stability of circular cylindrical shells under static and dynamic axial loads 14. Nonlinear stability and vibrations of circular shells conveying flow 15. Nonlinear supersonic flutter of circular cylindrical shells with imperfections.

862 citations

Journal ArticleDOI
TL;DR: In this article, an overview of available theories and finite elements that have been developed for multilayered, anisotropic, composite plate and shell structures is presented. But, although a comprehensive description of several techniques and approaches is given, most of this paper has been devoted to the so called axiomatic theories and related finite element implementations.
Abstract: This work is an overview of available theories and finite elements that have been developed for multilayered, anisotropic, composite plate and shell structures. Although a comprehensive description of several techniques and approaches is given, most of this paper has been devoted to the so called axiomatic theories and related finite element implementations. Most of the theories and finite elements that have been proposed over the last thirty years are in fact based on these types of approaches. The paper has been divided into three parts. Part I, has been devoted to the description of possible approaches to plate and shell structures: 3D approaches, continuum based methods, axiomatic and asymptotic two-dimensional theories, classical and mixed formulations, equivalent single layer and layer wise variable descriptions are considered (the number of the unknown variables is considered to be independent of the number of the constitutive layers in the equivalent single layer case). Complicating effects that have been introduced by anisotropic behavior and layered constructions, such as high transverse deformability, zig-zag effects and interlaminar continuity, have been discussed and summarized by the acronimC -Requirements. Two-dimensional theories have been dealt with in Part II. Contributions based on axiomatic, asymtotic and continuum based approaches have been overviewed. Classical theories and their refinements are first considered. Both case of equivalent single-layer and layer-wise variables descriptions are discussed. The so-called zig-zag theories are then discussed. A complete and detailed overview has been conducted for this type of theory which relies on an approach that is entirely originated and devoted to layered constructions. Formulas and contributions related to the three possible zig-zag approaches, i.e. Lekhnitskii-Ren, Ambartsumian-Whitney-Rath-Das, Reissner-Murakami-Carrera ones have been presented and overviewed, taking into account the findings of a recent historical note provided by the author. Finite Element FE implementations are examined in Part III. The possible developments of finite elements for layered plates and shells are first outlined. FEs based on the theories considered in Part II are discussed along with those approaches which consist of a specific application of finite element techniques, such as hybrid methods and so-called global/local techniques. The extension of finite elements that were originally developed for isotropic one layered structures to multilayerd plates and shells are first discussed. Works based on classical and refined theories as well as on equivalent single layer and layer-wise descriptions have been overviewed. Development of available zig-zag finite elements has been considered for the three cases of zig-zag theories. Finite elements based on other approches are also discussed. Among these, FEs based on asymtotic theories, degenerate continuum approaches, stress resultant methods, asymtotic methods, hierarchy-p,_-s global/local techniques as well as mixed and hybrid formulations have been overviewed.

839 citations

Journal ArticleDOI
TL;DR: A review of the reported studies in the area of thermo-elastic and vibration analyses of functionally graded (FG) plates with an emphasis on the recent works published since 1998 is presented in this paper.

695 citations