Abstract
Models of continuous beam on viscoelastic supports are often applied in engineering, especially in the field of civil engineering. Linear models are usually used partly because of the availability of the solving methods. However, the supports should be nonlinear. Hence, this paper focuses on calculating the transverse vibration of a continuous beam on nonlinear viscoelastic supports (stiffness and damping coefficients are nonlinear functions) under the action of moving loads. To obtain the dynamic response of such model, the proposed approach consisting of two main steps. In the first step, the substructure method is used to establish the vibration differential equations of the system. Therefore, the motion of the beam is governed by equations of a free-free beam subjected to external forces. In the second step, the mode shapes of the free-free beam are used to construct the solution through a numerical process. Examples are given to demonstrate the applicability of the methods to real-world problems.
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This research is funded by the Hanoi University of Science and Technology (HUST) under project number T2018-PC-211.
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Chung, P.T., Phuong, N.M. (2022). Calculating Transverse Vibration of a Continuous Beam on Nonlinear Viscoelastic Supports Under the Action of Moving Loads. In: Khang, N.V., Hoang, N.Q., Ceccarelli, M. (eds) Advances in Asian Mechanism and Machine Science. ASIAN MMS 2021. Mechanisms and Machine Science, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-030-91892-7_74
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DOI: https://doi.org/10.1007/978-3-030-91892-7_74
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