in this paper coupled nonlinear equations of motion of a suspended cable with time dependent tension and velocity are derived by using hamilton’s principal. a modal analysis for a stationary sagged cable is initially carried out in order to identify the dynamic system. the natural solution is directed to compute the natural frequencies and mode shapes of the free vibration of a suspended cable....

We study the second{order nonlinear damped wave equation semi{discretised in space using standard Galerkin nite element methods. Denoting the analytical solution and the corresponding nite element solution to the given problem by u and u h respectively, we derive an optimal L 2 (() error estimate of the form max t20;T] ku (t) ? u h (t)k C (u) h m ; for (x; t) 2 0; T], where R d ; C is a positiv...

One of mesh free methods, element Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using moving least square interpolation based a set nodes that arbitrarily distributed in specified domain. Discrete system equations derived from variation form equations. Numerical examples foundation given establishing Matlab code. results t...