Vibration of thin-walled structures with asymmetric post-buckling characteristics

TLDR: In this article, the effect of the initial imperfection in the dynamic response of thin-walled structures exhibiting asymmetric postbuckling behavior is discussed and the equilibrium characteristics are presented in terms of the equilibrium paths, which relate the applied load and the transverse displacement.

Abstract: The dynamic response of thin-walled structures exhibiting asymmetric post-buckling behaviour is investigated. The effect of the initial imperfection in the dynamic response of such structures is discussed. The equilibrium characteristics are presented in terms of the equilibrium paths, which relate the applied load and the transverse displacement. The dynamic response is illustrated by the characteristic curves which relate the applied load and the square of the correponding natural frequency of vibration. The dynamic response corresponds to the linear vibration around non-linear equilibrium configurations. The work is done in the scope of elastic stability and conservative systems. Damping is not included in the analysis.