A Non-Linear Non-Planar Coupling Mechanism of Suspended Cables in Thermal Conditions

Slight variations induced by thermal effects may bring unexpected discrepancies in both the system’s linear and non-linear responses. The present study investigates temperature on coupled motions of suspended cables subject to one-to-one internal resonances between in-plane out-of-plane modes. classical flexible system is excited a uniform distributed harmonic excitation with primary resonance. Introducing two-mode expansion applying multiple scale method, polar Cartesian forms modulation equations are obtained. Several parametric investigations have highlighted qualitative quantitative through curves force/frequency-response amplitude, time history diagrams, phase portraits, frequency spectrum, Poincaré sections. Based bifurcation stability analyses, steady-state solutions, as well static dynamic bifurcations, it observed that periodic be bifurcated into chaotic environments. saddle-node, pitch-fork, Hopf bifurcations sensitive changes. Finally, our perturbation solutions confirmed directly integrating governing differential equations, which yield excellent agreement results validate approach.