Dynamic analysis of guyed towers using direct time integration method by Newmark-β model

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

Kaveh  Kumarci ¹ (college of skills and entrepreneurship, Shahrekord branch, Islamic Azad University, Shahrekord, Iran)
AliReza  Baharizadeh ² (college of skills and entrepreneurship, Shahrekord branch, Islamic Azad University, Shahrekord, Iran)

Received: 2022-10-24 Accepted : 2022-12-26 Published : 2022-12-01

Keywords: Dynamic Analysis, Guy cable, Direct time integration, Motion equations,

Abstract :

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.

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