Discrete Singular Convolution Method for Dynamic Stability Analysis of Beams under Periodic Axial Forces

In the present study, the discrete singular convolution (DSC) method is used to analyze the dynamic stability of beams subjected to different boundary conditions under periodic axial forces. A unified DSC algorithm is established to solve the governing equations of beam motion under different boundary conditions. The regularized Shannon's delta kernel is selected as singular convolution to illustrate the present algorithm. The matched interface and boundary method is applied to the treatment of elastic restraint boundary conditions. The effects of a constant term in the periodic axial force and damping on dynamic instability regions are also investigated. The obtained numerical results are compared with those of Bolotin's method. Numerical results indicate that the DSC method is a reliable method for dynamic stability analysis of beams. (C) 2015 American Society of Civil Engineers.