Abstract
The reliability of vehicle–bridge dynamic interaction is evaluated. A time domain transfer matrix method for dynamic analysis is proposed. Using the idea of the Newmark- β method, the partial differential equation of beam vibration is transformed into a differential equation. Then, this differential equation is solved by the transfer matrix method. By using D’Alembert’s principle, the dynamic equations of vehicle–bridge interaction can be formulated. An iteration scheme is adopted to deal with the coupled terms in dynamic equations of vehicle–bridge system. Through integrating the first-order reliability method and transfer matrix method, the dynamic reliability of the vehicle–bridge system is studied. Through two numerical examples, the effects of system parameters on dynamic reliability of the vehicle–bridge system are investigated.
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