Yongqiang Yang^1,2, Zhongmin Wang^3,*

Sound & Vibration, Vol.53, No.3, pp. 51-64, 2019, DOI:10.32604/sv.2019.04004

Abstract Transverse vibration and stability analysis of circular plate subjected to follower force and thermal load are analyzed . B ased on the thin plate theory in involving the variable temperature, the differential equation of transverse vibration for the axisymmetric circular plate subjected to follower force and thermal load is established. Then, the differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature method. Meanwhile, the generalized eigenvalue under three different boundary conditions are calculated. In this case, the change curve of the first order dimensionless complex frequency of the circular plate subjected to the follower force… More >

V.G.Yakhno¹, D. Ozdek^2,3

CMC-Computers, Materials & Continua, Vol.33, No.2, pp. 155-173, 2013, DOI:10.3970/cmc.2013.033.155

Abstract A new method for the approximate computation of the time-dependent Green's function for the equations of the transverse vibration of a multi stepped membrane is suggested. This method is based on generalization of the Fourier series expansion method and consists of the following steps. The first step is finding eigenvalues and an orthogonal set of eigenfunctions corresponding to an ordinary differential operator with boundary and matching conditions. The second step is a regularization (approximation) of the Dirac delta function in the form of the Fourier series with a finite number of terms, using the orthogonal set of eigenfunctions. The third… More >