Modal identification of structurally damped mechanical structures.

Date

1984

Author

Yaman, Yavuz

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https://hdl.handle.net/11511/5553

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Graduate School of Natural and Applied Sciences, Thesis

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Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method Codina, Ramon; Türk, Önder (2022-09-01) This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why residual based formulations are not appropriate in this case, and a formulation involving only the pressure gradient is employed. The effect of the stabilization term compared to a Galerkin approach is detailed, both in the derivation of the approximate formulation and in the error estimat...
Modal analysis of elastic vibrations of incompressible materials based on a variational multiscale finite element method Codina, Ramon; Türk, Önder (null; 2019-10-04) In this study, we extend the standard modal analysis technique that is used to approximate vibration problems of elastic materials to incompressible elasticity. In modal analysis, the second order time derivative of the displacements in the inertia term is utilized, and the problem is transformed into an eigenvalue problem in which the eigenfunctions are precisely the amplitudes, and the eigenvalues are the squares of the frequencies. While this approach is applied directly to compressible materials in dif...
Modal Analysis of Elastic Vibrations of Incompressible Materials Based on a Variational Multiscale Finite Element Method Codina, Ramon; Türk, Önder (2021-01-01) © 2021, Springer Nature Switzerland AG.In this study, we extend the standard modal analysis technique that is used to approximate vibration problems of elastic materials to incompressible elasticity. The second order time derivative of the displacements in the inertia term is utilized, and the problem is transformed into an eigenvalue problem in which the eigenfunctions are precisely the amplitudes, and the eigenvalues are the squares of the frequencies. The finite element formulation that is based on the v...

Citation Formats

Y. Yaman, “Modal identification of structurally damped mechanical structures.,” Middle East Technical University, 1984.