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Dynamic Response of a Beam Structure Excited by Sequentially Moving Rigid Bodies

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS 2020年第8期20卷

作者： Gao, Hao Yang, Bingen Univ Southern Calif Dept Aerosp & Mech Engn Los Angeles CA 90089 USA

A coupled dynamic system consisting of a supporting beam structure and multiple passing rigid bodies is seen in various engineering applications. The dynamic response of such a coupled system is quite different from that of the beam structure subject to moving loads or moving oscillators. The dynamic interactions between the beam and moving rigid bodies are complicated, mainly because of the time-varying number and locations of contact points between the beam and bodies. Due to lack of an efficient modeling and solution technique, previous studies on these coupled systems have been limited to a beam carrying one or a few moving rigid bodies. As such, dynamic interactions between a supporting structure and arbitrarily many moving rigid bodies have not been well investigated, and parametric resonance induced by a sequence of moving rigid bodies, which has important engineering implications, is missed. In this paper, a new semi-analytical method for modeling and analysis of the above-mentioned coupled systems is developed. The method is based on an extended solution domain, by which the number of degrees of freedom of a coupled system is fixed regardless of the number of contact points between the beam and moving rigid bodies at any given time. This feature allows simple and concise description of flexible-rigid body interactions in modeling, and easy and effective implementation of numerical algorithms in solution. The proposed method provides a useful platform for thorough study of flexible-rigid body interactions and parametric resonance for coupled beam-moving rigid body systems. The accuracy and efficiency of the proposed method in computation is demonstrated in several examples.

关键词： Multi-span beams beam structures moving rigid bodies flexible-rigid body interaction vehicle induced vibration parametric resonance semi-analytical solution method

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A New Approach to Dynamic Analysis of a Multi-Span Beam Structure with Multiple Moving Oscillators 36th

A New Approach to Dynamic Analysis of a Multi-Span Beam Stru...

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36th International Modal Analysis Conference and Exposition (IMAC) on Structural Dynamics

作者： Yang, Bingen Gao, Hao Liu, Shibing Univ Southern Calif Los Angeles CA 90007 USA Hyperloop One Los Angeles CA USA

ISBN: (纸本)9783319753904;9783319753898

A multi-span beam structure carrying multiple moving oscillators is seen in a variety of engineering applications, including highway bridges, elevated guideways and railways with moving vehicles, and tubes conveying fast-moving pods. With the oscillators having different speeds and varying inter-distances, the dynamic interactions between the supporting structure and the moving oscillators are usually complicated. Indeed, the number of moving oscillators on the structure is time-varying, and as such, a conventional solution method must frequently check the number of oscillators on the structure and adjust the numerical algorithm accordingly. Because of this, most investigations have been limited to just one or a few moving oscillators. Proposed in this paper is a new semi-analytical method that can systematically handle a beam structure with an arbitrary number of moving oscillators, without tedious number checking and algorithm adjustment. In the development, an extended solution domain (ESD) is firstly defined and a generalized assumed-mode method is then developed based on the ESD, which eventually yields a set of time-varying state equations. solution of the state equations by a standard numerical integration algorithm gives the dynamic response of the coupled beam-oscillator system. Because the proposed method makes use of the exact eigenfunctions of the multi-span structure that are obtained by a distributed transfer function method, it is highly accurate and efficient in computation, as shown in a numerical study.

关键词： Multi-span beam structures Moving oscillators Fast transit systems Distributed transfer function method semi-analytical solution method

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