Free vibration analysis of plate using finite strip Fourier p-element

A finite strip Fourier p-element for the in-plane vibration analysis of plate is presented. Trignometric functions are used as enriching functions instead of polynomials to avoid ill-conditioning problems. With the additional Fourier degrees of freedom (dofs) and reduce dimensions, the accuracy of the computed natural frequencies is greatly increased. Numerical examples show that convergence is very fast with respect to the number of trignometric terms. Comparison of natural frequencies calculated by the finite strip Fourier p-element, the Fourier p-element, the finite strip and the conventional finite elements is carried out. The results show that the finite strip Fourier p-element can obtain much higher accurate modes than the Fourier p-element, the finite strip and the conventional finite elements.