Comparison study of the dynamic behavior of a generally restrained beam structure attached with two types of nonlinear vibration absorbers

Abstract

Beam structures with nonlinear vibration absorbers (NVAs) are attracting great research attention. Nonlinear vibration absorbers can more effectively suppress the vibration response of beam structures over the traditional vibration absorbers. The existing studies mainly focus on the dynamic behavior of beam structures with NVAs and boundary rotational restraints of beam structures are typically ignored. Additionally, it is difficult to adjust the stiffness of NVAs, limiting their engineering applications. Motivated by such limitations, the dynamic model of a generally restrained beam attached with two types of NVAs is established. Stiffness coefficients of NVAs can be adjusted by changing the initial length of horizontal springs. Dynamic behavior of the beam structure is predicted via the Galerkin truncated method (GTM). Results calculated by the GTM are verified by the harmonic balance method. Based on this, the influence of these two types of NVAs on dynamic behavior and vibration suppression of the beam structure is investigated. Appropriate parameters of the NVA beneficially affect the vibration suppression of the beam structure. With the same varying range of parameters belonging to NVAs, dynamic responses of the beam structure are more sensitive to the type-A NVA.