Abstract
In order to enhance the fidelity, convenient and flexibility of swinging motion, the structure of incompletely restrained cablesuspended system controlled by two drums was proposed, and the dynamic response of the system under swinging and heaving motion were investigated in this paper. The cables are spatially discretized using the assumed modes method and the system equations of motion are derived by Lagrange equations of the first kind. Based on geometric boundary conditions and linear complementary theory, the differential algebraic equations are transformed to a set of classical difference equations. Nonlinear dynamic behavior occurs under certain range of rotational velocity and frequency. The results show that asynchronous motion of suspension platform is easily caused imbalance for cable tension. Dynamic response of different swing frequencies were obtained via power frequency analysis, which could be used in the selection of the working frequency of the swing motion. The work will contribute to a better understanding of the swing frequency, cable tension and posture with dynamic characteristics of unilateral geometric and kinematic constraints in this system, and it is also useful to investigate the accuracy and reliability of instruments in future.
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Recommended by Associate Editor Eung-Soo Shin
Guohua Cao received his Ph.D. degree in Mechanical Engineering from China University of Mining and Technology, China, in 2009. Now he is a Professor of CUMT. His research interests include engineering mechanical kinetics, virtual simulation on multi-cable robot and reliability for mechanical system.
Naige Wang is a Ph.D. candidate in Mechanical Engineering from China University of Mining and Technology, China. His research interests include non-linear dynamics of cable robots and vibration control of parallel suspension system.
Lei Wang received his B.S. degree in Mechanical Engineering from China University of Mining and Technology, China, in 2015. Now he is a Ph.D. candidate in CUMT. His research interests include dynamics of the hoisting system and control of the parallel suspension system.
Zhencai Zhu received his Ph.D. degree in China University of Mining & Technology, Xuzhou, China, in 2000. Now he is the Executive President of the Research Academy of CUMT.
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Cao, G., Wang, N., Wang, L. et al. Nonlinear dynamic response of cable-suspended systems under swinging and heaving motion. J Mech Sci Technol 31, 3157–3170 (2017). https://doi.org/10.1007/s12206-017-0605-3
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DOI: https://doi.org/10.1007/s12206-017-0605-3