145 / 2021-03-31 14:43:05

Stability and dynamic characteristics of a nonlinear vibrating system with single rigid frame considering concrete particle flow effect

Nonlinear vibrating system,synchronization,stability,vibrators,concrete particle flow effect

In present work, considering concrete particle flow effect, a nonlinear dynamical model driven by two reversed rotating vibrators, is proposed to study the stability and dynamic characteristics of the corresponding system. The dynamical model and motion differential equations are given firstly, in which the nonlinear properties of the system, are mainly related to the nonlinear stiffness characterized by piecewise linearity, and nonlinear mass of the concrete materials. Considering the effect of concrete mass coefficient, and based on the averaging method and the Hamilton principle, the theoretical analyses of synchronization and stability of the system are obtained. The motion differential equation of concrete particle flow is deduced, as well as its dynamic pressure acting on the system. According to the theoretical analytical results, some numerical qualitative discussions on stability and nonlinear dynamic characteristics of the system, are given, including the mass coefficient, stable phase difference, frequency-amplitude responses, and the reasonable working range of the system, etc. Finally, simulations are carried out to verify the feasibility and validity of the used theoretical method and study results. It is shown that, the concrete particle flow and nonlinear stiffness of springs, have an important influence on the dynamic characteristics of the system. The present work can lay a theoretical foundation for designing some vibrating compacting equipmenst for concrete precast elements in civil engineering fields.