Dynamic responses of poroelastic beams with attached mass-spring systems and time-dependent, non-ideal supports subjected to moving loads: An analytical approach

The present study is the first to analyze the dynamic response of a poroelastic beam subjected to a moving force. Moreover, the influences of attached mass-spring systems and non-ideal supports (with local movements in the supporting points or base due to the presence of factors such as gaps, unbalanced masses, and friction or seismic excitations) on the responses were investigated. Non-ideal support experiences time-dependent deflection and moment. To evaluate the effects of both the theory type and the material properties, three models were investigated for the beam with mass-spring attachment and non-ideal supports: i) elastic Euler-Bernoulli-type beam, ii) elastic Timoshenko-type beam, and iii) poroelastic beam. The governing-coupled PDE equations of the forced vibration of the saturated poroelastic beam were analytically solved via Laplace and finite Fourier transforms. The effects of various parameters on the responses were investigated comprehensively and illustrated graphically. The poroelastic nature of the material properties was found to attenuate the vibration amplitude, and it is assumed that the attached mass can considerably affect the vibration pattern.