A DISPLACEMENT VARIATIONAL METHOD FOR FREE VIBRATION ANALYSIS OF THIN WALLED MEMBERS

摘要

By introducing an important modification into Vlasov theory [1], a general displacement variational method is proposed for free vibration analysis of thin walled members to take into account the shear effect. The differential equations obtained are solved by the Galerkin method. The method can be applied to arbitrary cross sections including open and closed section thin walled structures and tube-in-tube structures. The results compare well with those of other authors and of a general finite element program COSMOS [2] in which the rigid section assumption and shear effect have also been considered. The method requires less computer time than the standard finite element method and even the finite strip method. [References: 12]