| 1. | Research on primary resonance of magnetorheological damper
磁流变减振器的主共振研究 |
| 2. | Primary resonance bifurcation control of a parametrically excited system
参数激励系统的主共振分岔控制 |
| 3. | Primary resonance saddle - node bifurcation control of forced duffing system
振动系统的主共振鞍结分岔控制 |
| 4. | Primary resonance analysis of a mechanism system subjected to electromagnetic force
机电系统在电磁力作用下的主共振分析 |
| 5. | Nonlinear dynamic model and primary resonance of piezoelectric laminated disk
压电层合圆板的非线性动力学模型与主共振响应 |
| 6. | Primary resonance of thin rectangular plate with material nonlinearity on winkler foundation
地基上材料非线性矩形薄板的主共振 |
| 7. | For the nonlinear planar cantilever , the two resonant cases are considered . one of the two cases is primary resonance - principal parametric resonance and 1 : 3 internal resonance . the other is 1 / 2 subharmonic resonance - principal parametric resonance and 1 : 3 internal resonance
对于平面运动悬臂梁研究了二种共振情况，一是主共振-主参数共振和1 ： 3内共振的情形，另一是1 2亚谐共振-主参数共振和1 ： 3内共振的情形。 |
| 8. | In chapter 4 , the bifurcation of the complex nonlinear oscillator of van der pol - duffing - mathieu ' s is studied and the common bifurcation property of the oscillator in the situations of nonresonance , principal resonance , ultraharmonic resonance and non - subharmonic resonance is revealed . the bifurcation of strongly nonlinear oscillator is also explored in this chapter
第四章对非线性振动中最常见的vanderpol - duffing - mathieu复合非线性振子的分岔性质进行了系统的研究，发现了该复合系统在非共振、主共振、超谐共振和非1 2阶次谐共振情况下具有相同的分岔特性。 |
| 9. | The stability and bifurcation condition of rotor system are obtained and the way to improve system stability and reduce the vibration amplitude through adjusting system parameters is indicated ; 3 ) the strong nonlinear dynamic characteristic of high - speed rotor system is studied . the movement trend of system and the effect of system parameters to dynamic characteristic are indicated . the deference of the strong / weak nonlinear system and the unique characteristic of the strong soft - nonlinear system are pointed out ; 4 ) the bifurcation behavior of nonlinear rotor system is studied and the parameter region when chaos phenomenon is appeared is obtained in bifurcation and chaos theory
研究了系统的稳定性条件和发生分岔的条件，提出了通过改变参数来提高系统稳定性和抑制振幅的方法； 3 ）运用强非线性理论研究了轻型高速转子系统在大扰动条件下的强非线性主共振和1 / 3亚谐共振的动力学特性，给出在强非线性条件下系统的运动趋势和系统参数对系统动力学特性的影响，并进一步指出强/弱非线性系统、软/硬非线性系统的区别以及强软非线性系统的独有特性。 |
| 10. | The second case is 1 / 2 subharmonic resonance - principal parametric resonance and 1 : 1 internal resonance . the final case is primary resonance for the second mode - principal parametric resonance and 1 : 2 internal resonance . the adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities
第一种共振情况是主共振-主参数共振和1 ： 1内共振的情形；第二种共振情况是1 2亚谐共振-主参数共振和1 ： 1内共振的情形；第三种共振情况是第二模态主共振-主参数共振和1 ： 2内共振的情形。 |
