Analysis of Dynamic Elastic Stability of Framed Structures Subjected to the Periodic Follower Loads

When the Structures be lacking in stiffness are subjected to the periodic loads, the parametrically excited vibration occur in it. Therefore, examination of dynamic elastic stability for these structures results in analysis of stability of the parametrically excited vibration. One of the authors, Aida, has presented a method of analysis for dynamic elastic stability of framed structures subjected to the unidirectional periodic loads in Ref. (10) and (11). In this report, a method of analysis for dynamic elastic stability under periodic follower loads is proposed. Hsu's instability conditions are applied in judging the stability of solution of the differential equation with periodic elements, i.e., variational equation of motion by which stability of phenomenon are discussed. In last chapter, instability regions of columns and parabolic arches which are calculated by the proposed method are shown.