In order to study the influence of vehicle jumping on the dynamic response of variable cross-section continuous beam bridge under different working conditions,the 1/4 vehicle model is selected,and the vehicle vibration balance equation is established by D'Alembert principle.Based on the Euler-Bernoulli beam theory,the variable cross-section continuous beam is divided into several micro-seg-ments and the force analysis is carried out.The bridge vibration balance equation is established.The modal coordinate method is used to consider the orthogonality of the vibration mode to simplify the e-quation.The vehicle-bridge coupling vibration equation is obtained by combining with the vehicle vi-bration equation.Finally,the vehicle-bridge coupling vibration balance equation in the process of ve-hicle jumping impact is derived theoretically.MATLAB self-compiled program is used to solve the ve-hicle-bridge coupling vibration equation,and the vehicle-bridge coupling dynamic response is ob-tained.The results show that when the jump height increases,the dynamic response of the bridge continues to increase,and the maximum displacement increases gradually.When the jump occurs in the middle of different bridge spans,the displacement response of the jump span is the largest,and the displacement response is smaller when it is far away from the jump span.
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维普
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