Abstract
A better understanding of thermal effects on the nonlinear dynamic system would bring valuable benefits to engineering. Here, the primary and sub-harmonic resonances for a typical nonlinear system, a suspended cable in thermal environments, have been studied. Specifically, by using the perturbation method and direct numerical integrations, one of the simultaneous resonances has been studied. Numerical results demonstrate that the hardening, softening, or mixed hardening–softening spring behaviors are switched owing to temperature variations. The response amplitudes, velocities, and displacements are susceptible to temperature changes, but their periodic motions seem to be independent of thermal effects.
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Acknowledgements
The research was financially supported by Natural Science Foundation of China (11602089) and Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University (ZQN-YX505).
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Zhao, Y., Lin, H., Chen, L., Guo, Z. (2020). Influences of Temperature on Dynamic Behaviors of Suspended Cables Under Primary and Sub-Harmonic Excitations Simultaneously. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_22
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