DYNAMIC STABILITY OF THIN-WALLED MEMBERS

摘要

The dynamic stability of thin-walled structures subjected to periodically alternating axial forces is discussed in this paper. A system of second-order differential equations with period coefficients of the Mathieu type describes the dynamic stability of thin-walled members without damping. To solve the problem, the finite element method is applied, which can greatly reduce the process of simplification. Using MATLAB package, a computer program is developed to calculate the region of dynamic instability without damping corresponding to bending vibration, torsion and warping coupling vibration. The results prove to be more efficient and credible if compared with other calculational methods.