Author
B.S. Sarma
Bio: B.S. Sarma is an academic researcher from Defence Research and Development Laboratory. The author has contributed to research in topics: Finite element method & Nonlinear system. The author has an hindex of 7, co-authored 9 publications receiving 288 citations.
Papers
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TL;DR: In this paper, large amplitude free flexural vibrations of laminated orthotropic plates were studied using C 0 shear flexible QUAD-8 plate element and the nonlinear governing equations were solved using the direct iteration technique.
90 citations
TL;DR: In this article, a Lagrange-type formulation for finite element analysis of non-linear vibrations of immovably supported beams is presented and two equations of motion coupled in axial and transverse displacements are derived by using Lagrange's equations.
73 citations
TL;DR: Les equations non lineaires sont calculees a partir de considerations energetiques and la force d'etirement non lineaire est formulee en termes de deplacement transversal seul as mentioned in this paper.
Abstract: Les equations non lineaires sont calculees a partir de considerations energetiques et la force d'etirement non lineaire est formulee en termes de deplacement transversal seul
47 citations
29 citations
TL;DR: In this paper, the finite element formulation and equivalent linearization technique used in the study of nonlinear vibrations of beams have been reexamined based on the earlier comments and errors present in the equivalent linearisation procedure, in the substitution of inplane boundary conditions at the element level instead of at the system level, and in the use of different connotation for the frequency, are discussed.
27 citations
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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
TL;DR: In this paper, the finite element equations for a variationally consistent higher-order beam theory are presented for the static and dynamic behavior of rectangular beams, which correctly accounts for the stress-free conditions on the upper and lower surfaces of the beam while retaining the parabolic shear strain distribution.
364 citations
TL;DR: In this article, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates.
278 citations
TL;DR: In this article, the von Karman nonlinear strain-displacement relationship is used for large-amplitude (geometrically nonlinear) vibrations of rectangular plates subjected to radial harmonic excitation in the spectral neighborhood of the lowest resonances.
166 citations
TL;DR: In this paper, a nonlinear formulation developed based on von Karman's assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to thermal environment.
156 citations