Free vibration analysis on a simply-supported rhombus plate by using transfer matrix method
- https://doi.org/10.2991/iccte-17.2017.11How to use a DOI?
- rhombus plate; transfer matrix method; perturbation method; a first order ordinary differential matrix equation
In this paper, the transfer matrix method is firstly used to analyze the free vibration of a simply-supported rhombus plate. Firstly, using coordinate transformation formula, the solution domain for a rhombus plate is converted into a rectangular one, and the governing equations and the corresponding boundary conditions for the plate in the transformed rectangular domain are obtained. Then, combined with the Fourier series expansion and the perturbation theory, the equation is written in a first order ordinary differential matrix form. Next, the transfer matrix method is used to solve the matrix equations, in order to get the natural frequencies of the free vibration plate. Finally, numerical results are compared with the ones obtained by the finite element method. Example results show that when the difference between the rhombus angle and the corresponding rectangular angle is in a small range, the transfer matrix method proposed in this paper can be applied to analyze the dynamic characteristics of a rhombus plate.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Canli Liu AU - Liyun Yuan AU - Junpeng Wang AU - Zhenqiang Cao AU - Run Sun PY - 2017/07 DA - 2017/07 TI - Free vibration analysis on a simply-supported rhombus plate by using transfer matrix method BT - Proceedings of the 2017 2nd International Conference on Civil, Transportation and Environmental Engineering (ICCTE 2017) PB - Atlantis Press SP - 58 EP - 66 SN - 2352-5401 UR - https://doi.org/10.2991/iccte-17.2017.11 DO - https://doi.org/10.2991/iccte-17.2017.11 ID - Liu2017/07 ER -