Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8050913 | Applied Mathematical Modelling | 2018 | 57 Pages |
Abstract
This paper addresses the frequency response of coupled bending-torsional beams carrying an arbitrary number of in-span viscoelastic dampers and attached masses. Using the elementary coupled bending-torsion theory, along with appropriate generalized functions to treat the discontinuities of the response variables at the application points of dampers/masses, exact analytical expressions are derived for the frequency response of the beam under harmonically-varying, arbitrarily-placed point/polynomial loads. On this basis, the exact 6â¯Ãâ¯6 dynamic stiffness matrix and 6â¯Ãâ¯1 load vector of a two-node coupled bending-torsional beam finite element, with any number of in-span dampers/masses and harmonic loads, are obtained in a closed analytical form. Finally, the modal frequency response functions of the beam are built by a complex modal analysis approach, upon deriving pertinent orthogonality conditions for the modes. In this context, the modal impulse response functions are also obtained for time-domain analysis under arbitrary loads.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Andrea Burlon, Giuseppe Failla, Felice Arena,