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Vibration reduction of vehicle-bridge-coupled system using smooth-and-discontinuous absorber

Three-degree-of-freedom coupled system of vehicle, beam, and smooth-and-discontinuous absorber is constructed to detect the application of smooth-and-discontinuous absorber in vibration reduction of beam subjected to an infinite series of moving vehicles. Smooth-and-discontinuous absorber can be linear absorber or nonlinear one depending on the value of the smoothness parameter. The moving vehicles are simplified as an infinite series of moving spring masses. The amplitude–frequency response functions of the system are obtained using a series of elliptic integrals of the first and second kind. Furthermore, power flow approach is used to detect the effectiveness of smooth-and-discontinuous absorber with parameter variation. The results show that smooth-and-discontinuous absorber can adapt itself to effectively reduce the vibration energy of beam subjected to an infinite series of moving spring masses, which broaden the application of smooth-and-discontinuous absorber in engineering.