The static analysis of guyed towers is very complex because of high degree of non-linearity they exhibit due to their slender and flexibility. In the static analysis of cable systems, due to the effects of nonlinearity of loading and large functions, the interference of loads and displacement have no much value. Because of having no analytical solution for these systems, numerical methods have been applied. Finite difference method (FDM) is one of the known methods which are directly related to nonlinear relative equations and, the cable system is defined using calculating of them and deformation equations . In this research, the non-linear analysis of cables under three dimension static loads is analyses using FDM. This model can be analyzed three dimension response of cable using sequential method. In this model, long and inclined pre-tensioned cables have been studied in which only axial stiffness of cable is considered while bending and torsion stiffness are assumed to be negligible. Manuscript profile

Direct time integration method is based on creating dynamic equation in selected time intervals. It is presented to solve equations of motion describing the dynamic response of the structural linear and nonlinear multi degree of freedom systems. In this research, dynamic analyses of guyed cables with small sagging have been studied. Nonlinear systems in the guyed cables with multi degree of freedoms are involved creating matrix equation. In these systems, response and derivations of response- time have been found. Evaluation of the forced vibration response for nonlinear guy cable with multi degree of freedom needs to solve second order differential equations in the general coordination system. Therefore solving the equation may be obtained using integration methods of time domain. Newmark-β model is one of the direct time integration methods to solve second order differential equations of motion using the difference formulation. After normalization of motion equations for the second central difference, this model changes to explicit extrapolation to dynamic response. Because of having no domain loss error and has a small error in the periodicity, it can be used as one of the best formulation methods of guy cables under dynamic loads. Manuscript profile