2010•Journal of Railway Science and EngineeringRequires access

Dynamic response analysis of continuous beam bridge based on MATLAB

Fanglin Huang

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Abstract

For a multi-span beam,the method to obtain the vibration mode functions by interpolation function was proposed.The vibration equations of the continuous beam system were established.By using finite element software Ansys,the modal analysis of the continuous beam was established.A large number of freedoms of the finite element model of the continuous beam were greatly reduced and reconstructed with several freedoms,and the first few modes are invariant.The vibration mode functions of the continuous beam were simulated by using Matlab platform.The vibration equations of the continuous beam system were solved by the second-developed ODE functions.The analysis results show that the method proposed in this paper is feasible and effective,and has higher precision.

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What this paper is about

For a multi-span beam,the method to obtain the vibration mode functions by interpolation function was proposed.The vibration equations of the continuous beam system were established.By using finite element software Ansys,the modal analysis of the continuous beam was established.A large number of freedoms of the finite element model of the continuous beam were greatly reduced and reconstructed with several freedoms,and the first few modes are invariant.The vibration mode functions of the continuous beam were simulated by using Matlab platform.The vibration equations of the continuous beam system were solved by the second-developed ODE functions.The analysis results show that the method proposed in this paper is feasible and effective,and has higher precision.

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Available abstract

For a multi-span beam,the method to obtain the vibration mode functions by interpolation function was proposed.The vibration equations of the continuous beam system were established.By using finite element software Ansys,the modal analysis of the continuous beam was established.A large number of freedoms of the finite element model of the continuous beam were greatly reduced and reconstructed with several freedoms,and the first few modes are invariant.The vibration mode functions of the continuous beam were simulated by using Matlab platform.The vibration equations of the continuous beam system were solved by the second-developed ODE functions.The analysis results show that the method proposed in this paper is feasible and effective,and has higher precision.

Key concepts: Finite element method, Vibration, MATLAB, Beam (structure), Modal analysis, Structural engineering, Interpolation (computer graphics), Normal mode

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