Optimal positions and parameters of translational and rotational mass dampers in beams subjected to random excitation

The problem of vibrations of the beam with the attached system of translational and rotational dynamic mass dampers subjected to random excitations with peaked power spectral densities, is presented in the hereby paper. The Euler-Bernoulli beam model is applied, while for solving the equation of mot...

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Bibliographic Details
Main Author: Łatas, Waldemar
Format: Conference Proceeding
Language:English
Subjects:
Dampers
Dependent variables
Equations of motion
Euler-Bernoulli beams
Galerkin method
Mathematical models
Parameters
Random excitation
Rotational spectra
Transfer functions
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Summary:The problem of vibrations of the beam with the attached system of translational and rotational dynamic mass dampers subjected to random excitations with peaked power spectral densities, is presented in the hereby paper. The Euler-Bernoulli beam model is applied, while for solving the equation of motion the Galerkin method and the Laplace time transform are used. The obtained transfer functions allow to determine power spectral densities of the beam deflection and other dependent variables. Numerical examples present simple optimization problems of mass dampers parameters for local and global objective functions.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5019097