用非线性振动方程描述了球摆在 z 方向上的运动。
The motion of spherical pendulum in z-direction is described by nonlinear oscillation equation.
本文完成的工作有助于进一步深入研究含间隙机构的非线性振动特性，从而实现运动状态的控制。
The conclusions in this paper provide the valuable basis for the further study of the nonlinear vibration of mechanism with clearance and the control of the motion state.
基于线性振动亏损系统的广义模态理论，本文提出了一种识别亏损系统广义模态参数的频域方法。
Based on the generalized mode theory of linear vibrating defective systems, an identification method of generalized modal parameters is presented in this paper.
本文讨论线性振动亏损系统的矩阵摄动理论。
In this paper, matrix perturbation for linear vibration defective systems is discussed.
旋转的薄壁圆柱壳在线性振动时，有两个共振频率。
There are two resonance frequencies when the rotating thin cylindrical shell vibrates linearly.
得到了按矩形四边固支边界考虑时，膜材大挠度非线性振动频率的幂级数表达式。
Derived and solved the governing vibration equations of orthotropic membrane, and obtained the power series formula of nonlinear vibration frequency of rectangular membrane with four edges fixed.
从而解决了由滞回环本身的随机性引起的非线性振动系统的随机响应问题。
It has solved the random response of nonlinear stochastic vibration system that caused by the stochastic hysteretic loop itself.
本文分析研究了环形薄圆板的非线性振动问题。
The essay analyses the nonlinear vibration of an annular thin plate.
数值结果表明了IHB法是一个求解轴向运动体系非线性振动的非常有效的半解析、 半数值的方法。
The number results show that the IHB method is a very effective semi-analytical and semi-numerical method for nonlinear vibration of axially moving systems.
第1章回顾了扬声器和旋转薄壳在转点频段的线性和非线性振动，发现旋转薄壳转点问题中尚有若干问题有待进一步研究。
An overview of the research conducted in the area of linear and nonlinear vibrations in the turning-point frequency range of loudspeakers and revolution shells is given in chapter 1.
本文针对非线性振动系统提出了一种模糊自适应滑模控制方案。
In this paper, an adaptive fuzzy sliding mode control scheme is proposed for nonlinear vibration systems.
研究了弹性地基上带传力杆的间断中厚矩形板结构的非线性振动特性。
The nonlinear vibration behaviors of a rectangular moderate thickness plate with dowel on elastic foundation were investigated.
实际汽车存在许多非线性环节，需采用非线性振动模型进行研究，在这种情况下，通常采用的频域分析方法一般不再适用。
Because there are many nonlinear factors in a real automobile, a nonlinear vibration model should be necessarily used. In this case, the frequency domain methods can not be applicable.
本文采用改进的L -P法研究梁的强非线性振动，分析了超谐波共振和次谐波共振两种情况。
The modified Lindstedt-Poincaé method(MLP) is used t analyze strongly nonlinear vibration of beams. Attention is focused on the superhamonic and subharmonic resonances.
本文研究了谐振式硅微结构压力传感器在单频激励和双频激励情况下的非线性振动特性。
The nonlinear vibration characteristics of resonant silicon microstructure pressure sensor are investigated under single and two frequency excitation signal conditions.
对基于时-频相结合的非线性振动系统的参数识别问题进行了研究。
The question about parametric identification of nonlinear vibration system based on time-frequency analysis was studied.
应用该公式可以求出线性和等价线性化的非线性振动系统的精确稳态均值和均方响应。
By using of this formula, the accurate mean and mean square responses of a linear or an equivalent linearized nonlinear vibration problem can be obtained.
在齿轮耦合的转子—轴承系统中，有多种因素使系统产生非线性振动。
In a rotor bearing system geared, there are several nonlinear factors that may cause nonlinear vibration.
由伽辽金方法得到了弹性直杆热胀冷缩状态下受均布简谐激励的非线性振动方程。
The nonlinear vibration equation of the elastic straight bar under thermal expansion and harmonic excitation is obtained by Galerkin principle.
通过对几种不同的隔振形式的分析，得到了扭转振动的固有频率与线性振动的固有频率之间的关系。
By analysing some different types of isolating configurations, the relations between the natural frequency of rotational vibration and that of the linear vibration have been found.
应用多尺度法得到了超磁致伸缩换能器几何非线性振动系统响应的解析解和频响特性表达式。
Then, the analytic solution of the geometrical nonlinear vibration system and the frequency-response properties of the actuator were analyzed by using multi-scale method.
钻柱将其扭转振动传至钻机动力头，引起动力头齿轮传动系统的非线性振动。
The BHA transmits its torsional vibration to the gear system of drill power pack and brings about nonlinear vibration.
研究了材料对非线性振动系统动力行为的影响。
The influence of material on the dynamic behavior of non linear vibrating system is studied.
应用线化和校正方法，研究了单摆的非线性振动，作出了周期比和相对误差随摆角的变化曲线。
The vibration of the nonlinear pendulum is studied by means of linearization and correction method, the curves of the period ratio and the relative error is plotted.
本文对于复杂的多自由度非线性振动系统提出了基于遗传算法的主动模糊控制方法。
In this paper, a fuzzy logic control based on genetic algorithms for complex nonlinear vibration systems of multiple degree of freedom is proposed.
本文分别采用多元L-P法和增量谐波平衡法（IHB法）研究轴向运动梁的横向非线性振动。
The multiple dimension Lindstedt-Poincaré method and IHB method are used to study the nonlinear vibration of axially moving beams.
作为具体问题，采用多尺度法求出了横向磁场中条形板非线性振动的近似解析解。
As an example, an approximate analytic solution of nonlinear vibration for a plate strip in lateral magnetic field is obtained by the multi-scale method.
作为具体问题，采用多尺度法求出了横向磁场中条形板非线性振动的近似解析解。
As an example, an approximate analytic solution of nonlinear vibration for a plate strip in lateral magnetic field is obtained by the multi-scale method.
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