Abstract
In order to simulate the coupling vibration of a vehicle or train moves on a multi-span continuous bridge with non-uniform cross sections, a moving mass model is used according to the Finite Element Method, the effect of the inertial force, Coriolis force and centrifugal force are considered by means of the additive matrices. For a non-uniform rectangular section beam with both linear and parabolic variable heights in a plane, the stiffness and mass matrices of the beam elements are presented. For a non-uniform box girder, Romberg numerical integral scheme is adopted, each coefficient of the stiffness matrix is obtained by means of a normal numerical computation. By applying these elements to calculate the non-uniform beam, the computational accuracy and efficiency are improved. The finite element method program is worked out and an entire dynamic response process of the beam with non-uniform cross sections subjected to a moving mass is simulated numerically, the results are compared to those previously published for some simple examples. For some complex multi-span bridges subjected to some moving vehicles with changeable velocity and friction, the computational results, which can be regarded as a reference for engineering design and scientific research, are also given simultaneously.
Highlights
Continuous beams are general statically indeterminate structures, and have broad applications in civil engineering, mechanism, navigation engineering and so on
In order to simulate the coupling vibration of a vehicle or train moves on a multi-span continuous bridge with non-uniform cross sections, a moving mass model is used according to the Finite Element Method, the effect of the inertial force, Coriolis force and centrifugal force are considered by means of the additive matrices
Wu [13,14] performed the dynamic analysis of an inclined beam and a flat plate due to moving loads, and presented the moving mass element by taking account of the effect of inertial force, Coriolis force and centrifugal force induced by the moving mass
Summary
Continuous beams are general statically indeterminate structures, and have broad applications in civil engineering, mechanism, navigation engineering and so on. It is of great importance to study the dynamic characteristic of the bridge under moving mass for engineering design and scientific research. Fryba [1,2] had given an exact solution on dynamic responses of the simple supported beam and continuous beam under moving load. It is shown that, for the multi-span continuous non-uniform beam, one used a moving load model to obtain the numerical. This paper has been performed some complex problems (include multi-span non-uniform beam with moving mass). For some complex multi-span bridges subjected to some moving vehicles with changeable velocities and frictions, numerical results of dynamic responses are obtained, which can be regarded as a reference for engineering design and scientific research
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