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

作者：Li, Wei^*; Song, Zhiwei; Chai, Yingbin

来源：Journal of Engineering Mechanics, 2015, 141(10): 04015033.

DOI：10.1061/(ASCE)EM.1943-7889.0000931

• Discrete singular convolution (DSC)
• Matched interface and boundary (MIB)
• Dynamic stability
• Elastic restraints

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.

• 出版日期2015-10
• 单位华中科技大学