The Nonlinear Problems on the Development of the Performance of SATMD in Applications

摘要

The expression of equivalent stiffness in considering the geometrical nonlinearity ofrnvariable stiffness device is derived. The cubic polynomial model of the equivalentrnspring is obtained for analyzing the dynamic characteristic of the nonlinear system.rnThe numerical results show that the control effectiveness of SATMD with nonlinearityrnis better than that with linearity as the frequency ratio is little less than 1. The existingrnHertz model is adopted for constructing the equations with impact between TMD andrnthe main structure. The investigation of impact parameters shows that therndimensionless clearance and the impact stiffness are more sensitive to the controlrneffect of TMD than other impact parameters, such as frequency ratio, damping ratio.rnThe robustness of TMD can be improved significantly when the frequency of TMD isrndetuning, if the impact parameters are reasonably designed.