THE DYNAMIC RESPONSE OF A SIMPLY SUPPORTED VISCOUSLY DAMPED BEAM SYSTEM UNDER A MOVING HARMONIC OSCILLATOR

The dynamic response of a foundation-beam system under a moving harmonic oscillator is investigated. The foundation-beam system is made of an elastic homogeneous isotropic Euler-Bernoulli beam, which is supported continuously by a foundation of elastic springs with viscous damping. The moving harmonic oscillator is simplified by a single degree of freedom (SDOF) system. The equation governing the vibration of Euler-Bernoulli beam is proposed. By introducing some state variables, a new state-space equation is established, which is then solved by a single-step scheme. Numerical examples are employed to investigate the effects of the mechanical properties of the oscillator and foundation on the response of the beam.