Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of pr...Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of primary system is derived by means of harmonic balancing technique so that the working frequency of the vibration absorber can trace the frequency variation of the harmonic excitation. The efficacy of the strategy is demonstrated by numerical simulations for attenuating the steady state vibration of a SDOF system and a 2 DOF system, which are under the harmonic excitation with slowly varied frequency in a wide range.展开更多
This paper presents a new method for global analysis of nonlinear system. By means of transforming the nonlinear dynamic problems into point mapping forms which are single-valued and continuous, the state space can be...This paper presents a new method for global analysis of nonlinear system. By means of transforming the nonlinear dynamic problems into point mapping forms which are single-valued and continuous, the state space can be regularly divided into a certain number of finitely small triangle elements on which the non-linear mapping can be approximately substituted by the linear mapping given by definition. Hence, the large range distributed problem of the mapping fixed points will be simplified as a process for solving a set of linear equations. Still further, the exact position of the fixed points can be found by the iterative technique. It is convenient to judge the stability of fixed points and the shrinkage zone in the state space by using the deformation matrix of linear mapping. In this paper, the attractive kernel for the stationary fixed point is defined, which makes great advantage for describing the attractive domains of the fixed points. The new method is more convenient and effective than the cell mapping method. And an example for two-dimensional mapping is given.展开更多
以Hammerstein模型对超磁致伸缩作动器（Giant Magnetostrictive Actuators,GMA）的率相关迟滞非线性进行建模,其中改进的PI（Modified Prandtl-Ishlinskii,MPI）模型和外因输入自回归模型（Autoregressive Model with Exogenous Input,...以Hammerstein模型对超磁致伸缩作动器（Giant Magnetostrictive Actuators,GMA）的率相关迟滞非线性进行建模,其中改进的PI（Modified Prandtl-Ishlinskii,MPI）模型和外因输入自回归模型（Autoregressive Model with Exogenous Input,ARX）分别表示模型的静态非线性部分和线性动态部分。在所建模型的基础上,提出了一种H∞鲁棒振动控制方法。GMA单自由度主动隔振平台的减振控制实验结果表明：H∞鲁棒振动控制方法可以在1个振动周期内,将频率范围为1-100 Hz的振动衰减88%-92%;而基于双滤波器的自适应滤波x-LMS算法收敛时间近似于1 s,在40-100 Hz的频率范围内可将振动衰减90%-92%,而在10-30 Hz的频率范围内只能将振动衰减43%-74%。因此所提出的H∞鲁棒振动控制方法收敛速度更快,控制频带更宽,而且不需要对不同频率激励下的控制通道进行重复建模。展开更多
文摘Presented in this paper is a semi active vibration control strategy based on the vibration absorber with adjustable clearance in elastic component. The control law of the clearance for alleviating the vibration of primary system is derived by means of harmonic balancing technique so that the working frequency of the vibration absorber can trace the frequency variation of the harmonic excitation. The efficacy of the strategy is demonstrated by numerical simulations for attenuating the steady state vibration of a SDOF system and a 2 DOF system, which are under the harmonic excitation with slowly varied frequency in a wide range.
文摘This paper presents a new method for global analysis of nonlinear system. By means of transforming the nonlinear dynamic problems into point mapping forms which are single-valued and continuous, the state space can be regularly divided into a certain number of finitely small triangle elements on which the non-linear mapping can be approximately substituted by the linear mapping given by definition. Hence, the large range distributed problem of the mapping fixed points will be simplified as a process for solving a set of linear equations. Still further, the exact position of the fixed points can be found by the iterative technique. It is convenient to judge the stability of fixed points and the shrinkage zone in the state space by using the deformation matrix of linear mapping. In this paper, the attractive kernel for the stationary fixed point is defined, which makes great advantage for describing the attractive domains of the fixed points. The new method is more convenient and effective than the cell mapping method. And an example for two-dimensional mapping is given.
