A Precise Algorithm In Time Domain For Dynamic Analysis And Inverse Problems Of Beam Under Moving Load

Lots of engineering structures are under moving loads, such as bridges, airstrips, parkinglots groynes and so on. Dynamic analysis of structures under moving loads has greatsignificance.Due to complexity of practical engineering, analytical solutions of moving loads aregenerally difficult, and therefore effective numerical methods are in great need. Aself-adaptive precise algorithm in time domain is developed for moving load problems. Byexpanding variables in discrete time intervals, problems with time and space coupled can betransformed into a series space problems which can be solved recursively. Responses ofbeams under moving force, moving mass and moving oscillator models are studied, numericalresults are satisfactory compared with analytical solutions and those from Runge-Kuttamethod.Based on the forward model, inverse model for moving load problems are established,taking distributing of unknown variables into account, and Levenberg-Marquardt method isapplied. Numerical results show that moving load excitation are effective in identification ofdistributing variables.This paper provide a new numerical approach to dynamic analysis and inverse problems,its application in practice is looked forward to.