floquet theory meaning in Chinese
弗洛凯理论
弗洛理
Examples
- After reduction , the effective numerical method is adopted to explore the response and stability information of the system , and the state of motion and type of the bifurcation are analyzed by floquet theory
降维之后,采用有效的数值计算方法分析系统的动响应和稳定性,利用floquet理论分析其运动状态和分岔类型。 - In chapter 3 , the non - linear equation was linearized with the jacobi matrix , and then the linearized equation was transformed into fixed frame to analyze the stability problem with eigenvalue method ( on - ground or hovering ) or floquet theory ( forward flight ) . meanwhile , the equation was perturbed by sweep frequency excitation from steady state to get transit decay of lag response which was then transformed into fixed frame with a numerical fourier coordination transformation ( fct ) . the fixed frame response along with the body response was analyzed via an fft to determine modal frequencies
然后,在稳态响应的基础上利用雅各比矩阵对非线性方程进行了线化,线化后的方程利用多桨叶坐标变换转换到固定系下后,利用直接特征值分析(地面、悬停)或floquet理论(前飞)对系统进行了稳定性分析;同时,对系统进行了瞬态响应分析;在系统达到稳态的基础上进行扫频激励,用fft变换求得系统频率,进而用移动矩形窗方法分析得到系统的阻尼。 - By means of the precise integration method with lagrangian interpolation the trajectory of the shaft center , the poincare mapping and the bifurcation graphs are numerically given . the results predicted by the floquet theory are checked and the long - term dynamic behavior of the system is predicted . it is shown that the system has rich nonlinear behaviors at some m combination of the four parameters , for examples , multi - frequency subharmonic resonance , as well as chaos phenomenon from doubling bifurcation and twice hopf bifurcation
通过lagrange插值精细积分法数值给出系统的轴心轨迹图、 poincar映射图、分叉图，检验floquet理论预测结果并预测系统的长期性态，显示系统在四个参数组合的某些范围内具有丰富的非线性特性，还存在多形式次谐波解，以及由倍周期分叉、二次hopf分叉通往混沌的现象。 - The way to eliminate chaos phenomenon through adjusting system parameters is indicated . the nonlinear dynamic behavior of journal bearing - rotor system in large parameter space is studied in numerical integral method and floquet theory and the first and second bifurcation behavior of nonlinear rotor system are discussed ; the concept is advanced that realizing the controllable nonlinear stiffness with sfd with the soft - nonlinear of sma in the super - elasticity state to make the vibration amplitude of system always be in the small solution state to reduce the vibration amplitude of rotor system
运用数值积分方法结合floquet理论对滑动轴承-转子系统的大参数范围非线性动力学特性进行了全面的研究，详细地讨论了系统的一次和二次分岔行为； 5 ）提出了用形状记忆合金在超弹性状态下的软非线性，结合挤压油膜阻尼器实现系统刚性的非线性可控，降低系统在非定常状态下的最大振幅的构想。 - This is the limitation of the floquet theory . combining both methods some suggestions on the design parameters of oil - film bearing - flexible rotor system can be offered . comparing the dynamic oil - film force model to the steady one , the rationality of the dynamic oil - film force model is noted
结合这两种方法为油膜轴承柔性转子系统相关参数的适当设计提供了定性分析的依据，将动态油膜力模型和稳态油膜力模型的数值结果进行比较，表明动态非线性油膜力模型的合理性。