Vibration and stability of a non-uniform double-beam subjected to follower forces

Identification for Critical Flutter Load and Boundary Conditions of a Beam Using Neural Networks

“…In general, the #utter loads based upon the Timoshenko theory are smaller than those based upon the classical one. The #utter loads of uniform beams obtained by the present method are in good agreement with the values obtained by other authors [1,8].…”

“…Many researchers [5,6] have analyzed the non-conservative instability of beams resting on an elastic foundation. De Rosa and Franciosi [7], and Takahashi and Yoshioka [8] have studied the e!ect of an intermediate support on the stability behaviour of cantilever beams and double beams subjected to follower forces.…”

Dynamic Stability of Columns Subjected to Follower Loads: A Survey

“…The transfer matrix method was utilized in the analysis. Takahashi and Yoshioka [83] studied the dynamics of two coupled Beck's columns, interconnected by two springs. Also in that study, the transfer matrix method was applied.…”

Dynamic stability analysis for Beck’s type of inelastic Timoshenko steel columns

“…Up to the present, considerable research efforts have been made for the dynamic stability problems under the non-conservative forces by using various approaches such as the Galerkin method (Leipholz, 1980;Elishakoff and Hollkamp, 1987;Levincon, 1966;Rao and Rao, 1975), the transfer matrix approach (Lee and Yang, 1994;Irie et al, 1980;Takahashi, 1999;Takahashi and Yoshioka, 1996), the integral equation formulation (Elfelsoufi and Azrar, 2005;2006), the finite difference method (Rao and Rao, 1990a;1990b;1988), the assumed mode method (Lee, 1996a;1996b;1995a;1995b), and many other forms of discretization methods (Lee et al, 1992;De Rosa and Franciosi, 1990). Amongst the analytical or numerical methods available for the dynamic stability problems, the finite element method seems to be undoubtedly the most versatile, accordingly a large amount of works (Lee et al, 2007;Ryu et al, 1998;Kim and Choo, 1998;Saje and Jelenic, 1994;Del Giudice et al, 1992) were devoted to the technical improvement of the finite elements.…”