Leung, Andrew Yee TakAndrew Yee TakLeungChen, S. H.Lin, W. J.2022-03-282022-03-282010https://repository.sfu.edu.hk/handle/sfu/2779Some pre‐tensioned 4‐node rectangular elements and 8‐node triangular elements are constructed for the free vibration analysis of membranes by finite element. The shape functions are given to derive the element stiffness and mass matrices in accordance with the minimum potential energy principle. Two typical examples show that the calculation by the 4‐node rectangular element is very close to the theoretical solution, and 8‐node rectangular element has higher accuracy than the 4‐node rectangular element. For dense grid, the result is almost consistent with the theoretical solution.conference proceedings10.1063/1.3452152