具有非线性刚度动力吸振器的隔振系统半主动控制

研究带有非线性刚度吸振器的隔振系统振动稳态响应的半主动控制。动力吸振器和隔振系统（主系统）的刚度均为Duffing类型的非线性刚度。对吸振器的阻尼采用了两种半主动控制策略以减少主系统的振动，并讨论了吸振器刚度的非线性程度，吸振器质量与主系统质量之比及主系统刚度的非线性程度对主系统稳态响应的影响。数值分析结果表明，采用适当的系统参数和控制策略可以有效地改善主系统的稳态响应。

Semi-Active Control for Isolation System with Non-Linear Dynamic Vibration Absorber

Semi-active control for steady state response of a non-linear isolation system with a nonlinear dynamic vibration absorber is studied in the paper. Both the isolation system and dynamic vibration absorber have Duffing type non-linear stiffness. Two semi-active control laws for adjusting damping of the dynamic vibration absorber are proposed and compared. Effects of degrees of stiffness non-linearity of the dynamic vibration absorber and the isolation system and the mass ratio of the dynamic vibration absorber to isolation system on the steady state response of the isolation system are discussed. Numerical results show that the steady state response of the isolation system can be further reduced by using appropriate control law such as displacement based ground-hook control algorithm.