Free longitudinal vibrations of bimodular beams: a comparative study
Denis Kharenko, Cristina Padovani, Andrea Pagni, Giuseppe Pasquinelli, Leonid Semin
Nonlinear dynamics Building and Construction Ocean Engineering Civil and Structural Engineering Numerical solutions Exact solutions Aerospace Engineering Mechanical Engineering Applied Mathematics Bimodular material
In this paper, we consider the problem of the free longitudinal vibrations of a beam made of a bimodular material, i.e. an elastic material whose in-tension Young's modulus is a fraction of that under compression. After recalling the exact solutions for an infinite beam and for a beam with fixed ends calculated via the characteristics method, we apply high-resolution methods based on the finite-element approach to solve the nonlinear equation of the motion. In particular, we compare the exact solutions with the numerical solutions calculated using the collocation and least-squares method developed in the present study, the space-time element method, as well as total variation diminishing (TVD) and Newmark methods.
Source: International journal of structural stability and dynamics. 11 (2011): 23–56. doi:10.1142/S0219455411003975
Publisher: World Scientific,, Singapore , Singapore
Metrics
Back to previous page
@article{oai:it.cnr:prodotti:199538,
title = {Free longitudinal vibrations of bimodular beams: a comparative study},
author = {Denis Kharenko and Cristina Padovani and Andrea Pagni and Giuseppe Pasquinelli and Leonid Semin},
publisher = {World Scientific,, Singapore , Singapore},
doi = {10.1142/s0219455411003975},
journal = {International journal of structural stability and dynamics.},
volume = {11},
pages = {23–56},
year = {2011}
}
0000-0002-2467-569XDOIAlso available from
