Linear dynamic analysis and active control of space prestressed taut cable net structures using wave scattering method

Abstract

Summary In this paper, the linear dynamic analysis and active control of prestressed taut cable net structures are investigated by the wave scattering method. Wave motion equations of cables are firstly derived to obtain the wave dispersion characteristics, which are the combinations of the longitudinal tensile wave equations of bars and transverse wave equations of taut strings. The waveguide and scattering matrices of cables are then formed by the force balance and displacement boundary conditions. The derivation of the traveling wave model of cable net structures is accomplished by combining systematic scattering matrix with transmission matrix. Finally, the wave active control method is proposed based on the established traveling wave model. The comparison of results obtained by the wave scattering method with the finite element method shows an excellent agreement. But more importantly, it demonstrates that the computational efficiency of the wave scattering method is higher for dynamic analysis of large‐scale cable net structures. The effectiveness of the proposed wave active control method is verified by a planar cable net structure. Copyright © 2015 John Wiley & Sons, Ltd.

A simple wave/power flow analysis method for vibration control of large cable-frame structures

“…Here, it is assumed that all cables are tensioned so that the cable-frame structure can be considered as a weakly nonlinear system. According to the reference Wang and Li (2016), the wave motion of a cable consists of the longitudinal motion (Line 2) and the transverse wave motion (Line 3). It can be seen from the wave motion equations that the longitudinal stiffness and the transverse stiffness of a cable are mainly determined by their elongation rigidity and instantaneous tensions, respectively.…”

“…In recent years, as large, light, flexible structures have been widely used in aerospace field (Renno and Mace, 2014; Sun et al, 2020), modal control has shown distinct disadvantages, and wave control has gained widespread attention for some complex and large structures. Wang and Li (2016) investigated the linear dynamic behavior and active control of cable net structures based on a wave scattering method. It has been argued that high levels of cable pretension can mitigate large initial deflections, rendering the system sufficiently stiff with the cable net structure for outer space applications being considered a weakly nonlinear system.…”