Analytical solutions for resonant response of suspended cables subjected to external excitation

• Published in: Nonlinear dynamics Vol. 78; no. 2; pp. 1017 - 1032
• Main Authors: Zhao, Yaobing, Sun, Ceshi, Wang, Zhiqian, Wang, Lianhua
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2014; Springer Nature B.V
• Subjects: Approximation; Automotive Engineering; Axial stress; Cables; Classical Mechanics; Control; Dynamical Systems; Engineering; Equations of motion; Exact solutions; Excitation; Frequency response; Galerkin method; Galerkin methods; Hamilton's principle; Mathematical analysis; Mathematical models; Mechanical Engineering; Nonlinear analysis; Original Paper; Sag; Vibration; Primary resonance; Suspended cable; Numerical integration; Multiple-scale method; Homotopy analysis method

In this study, two analytical methods are applied to study the primary resonances response of suspended cables subjected to external excitation. We choose four different sag-to-span ratios and the first two modes to investigate the differences in nonlinear responses obtained with analytical methods....