Dynamic response of a simply supported viscously damped double-beam system under the moving oscillator

The dynamic response of a double-beam system under the moving oscillator is investigated. The double-beam system is made of two elastic homogeneous isotropic Euler-Bernoulli beams, which are identical, parallel with each other and supported continuously by a foundation of elastic springs provided with viscous damping. The moving oscillator is simplified by the single degree of freedom (SDoF) system. The coupled equations governing the vibration of beams are decoupled by a simple change. Then a state-space equation governing the vibration of both beams and the moving oscillator is established by introducing some state variables, and solved by a single-step scheme. Numerical examples are employed to investigate the effects on the response of some important parameters, such as initial condition of the oscillator, and the mechanical properties of the oscillator and foundation. Some interesting tendencies in the response of beams and oscillator are highlighted.