Dynamic response analysis of a thin rectangular plate of varying thickness to a traveling inertial load
In this article, a new generalization of the orthonormal polynomial series expansion method is introduced as a robust computational approach to assess the transverse vibration of a 2-D distributed parameter system. A thin rectangular plate of non-uniform thickness is considered, for which the natural frequencies and dynamic response to a lumped moving mass are computed. Verification is presented via analytical solution and excellent agreement is achieved. Some benchmark solutions are obtained for the dynamics of non-uniform plates under moving loads. Also, the similarity of the presented solution with eigenfunction expansion method in the contribution of the mode shapes is underlined.
Taher Ghazvini
Ali Nikkhoo
Hamed Allahyari
Majid Zalpuli
Springer
