The Study Of Damping Effect Of Particle Damper On A Cantilever Structure By The Forced Vibration

Particle damping is a passive vibration control technology of energy-intensive ideas of particles collision and friction. In recent years, particle damping technology has been used in the field of aviation and auto mechanics because of its excellent high-frequency damping properties in harsh environments. Particle damping has played an important role in a lot of machinery equipment and vehicles vibration control. Engineers have also introduced particle damping to the seismic design of building structures. However, particle damping theory of structural damping model and experimental studies are not perfect enough due to the complexity and randomness of the vibration mechanism of the particles. The paper performances related theoretical analysis and numerical simulation about particle damper’s energy dissipation mechanism and gets the particle damper’s best damping model on the basis of the research and application of particle dampers of the fractional derivative theory at home and abroad in recent years. Study additional particles damper’s the damping effect on the main structure by changing parameters such as the fill rate of particle dampers, particle materials and particle size with a large number of random vibration tests of the steel column. The paper’s work includes the following aspects:(1) Stated the basic theory of particle damping and fractional derivative theory and research, and further elaborated in the fractional derivative is used to describe the feasibility and rationality of the damping force of the particle damper structure.(2) Simplified first-order vibration truncation model of the cantilever top which is fixed particle damper. Make an analytic solution for the vibration attenuation equation of the cantilever top fixed the particle damper about fraction derivative order by using the Laplace transform method.(3)Based on the vibration attenuation equation of the cantilever top fixed particle damper, the author makes the relevant procedures by using first-order discrete difference method of the Riemann-Liouville definition and Matlab to get the corresponding value of parameters r, c2with particle damper of different fill rate. From the physical mechanism, to some extent it described the law of the damping effect of the particle damper on the main structure.(4) Make a series of random vibration experimental about steel columns with particles damper or equivalent mass, the power spectral density values of steel columns pieces at the natural frequencies were collected, calculated the energy response values of steel column. Studied damper fill rate, particle physical properties, particle size, layout and other factors on the effect of particle damper, analyzed the particle damper and equivalent mass on the effect of the natural frequency of the main structure. And the following key findings:(a) Damper’s quality doesn’t affect the main structure’s natural frequency.(b) The ball particle damper’s best fill rate is70%.(c)The size of damper and particle has a significant effect on the damping effect of the damper.(d) Under the same filling ratios, the damping effect of the small ball particle damper significantly better than the stone tablets.(e) Particle damper can effectively inhibit vibration amplitude of steel column’s first order natural frequency.