查询词典 simultaneous differential equations

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

The sliding wedge, behind the retaining wall of not reaching the limit displacement, can be divided into numerous differential slices paralleling to the sliding plane. Then, with the force analysis of these differential slices and the relationship mentioned above, equations can be set up and the inclination of the sliding plane is also derived. Thereby, the calculation formula of the nonlimit active earth pressure is obtained.

对于未达到极限位移的挡土墙，结合已取得的位移与摩擦角之间的关系，采用与滑裂面相平行的微条对墙后滑动楔体进行划分，对微条进行受力分析，建立平衡方程，推导了滑裂面的倾角，从而得到非极限主动土压力计算公式。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题，本文从三维基本运动方程出发，引入三个位移函数ψ，G和w，将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

Then using classical fractional differential G-L definition deduces fractional order differential difference function and constructs an approximate fractional order differential Tiansi module.

然后由经典的分数阶微分定义出发，推导出了分数阶差分方程，构建了近似的分数阶Tiansi微分模板。

Simulation results show that our algorithm enforces the adaptability of differential space-frequency modulation to the time delay expansion.Finally, we give our work to reduce the complexity of multiple symbol differential sphere decoding in differential space-time modulation. Through the modification of the enumeration strategy of the search tree in sphere decoding, we significantly reduce the complexity of detection at the expense of little loss on performance.

理论分析和仿真结果都验证了这种检测算法对长信道时延的适应能力论文最后还对差分空时调制中的多符号检测算法进行了研究，提出了一种降低差分空时调制系统中多符号差分球形译码算法复杂度的方法，通过改进球形译码中搜索树的排序策略，使得系统在牺牲较少性能的基础上大大降低了算法实现的复杂度。

Consideration of the structural characteristics of autotransformer, the principles and characteristics of zero-sequence differential protection are analyzed by taking PST1200 as an example, debugging method of zero-sequence differential protection is summed up briefly, the method can well verify the logical function correctness of zero-sequence differential protection, and it has been verified in practical application.

结合自耦变压器的结构特点，以南自PST1200变压器保护装置为例分析了零序差动的原理构成及特点，简要总结了零差保护的调试方法，能够较快且准确的校验零差保护逻辑功能的正确性，并已在实际工作中得到了很好的验证

The text analyses GPS observation model, the characteristic of kinds of errors fountain and the adopting measures in the observation, and processes the thorough research to Bernese GPS Software Ms-Windows Version 4.2. It makes the most stable satellites as the main error. The differential way adopts non-differential way and double differential way. The positioning precision of the single point is decimeter level. RMS is within 0.01~0.02; If the ambiguity right and without week skip, the observation datum of a EPOCH-BY-EPOCH can make the short base line（S0km）positioning precision reach centimeter level.

本文分析了GPS的观测模型、观测量中各种误差源的特点及应采取的措施，并对Bernese GPS Software Ms-Windows Version 4.2 软件进行了深入的研究，它是以最稳定的卫星作为主差，采用非差和双差两种差分方法，单点定位精度在分米级，RMS能在0.01~0.02以内；在模糊度已求解正确条件下，若没有周跳，一个历元的观测数据就可以使短基线（S0km）定位精度达到厘米级。

Based on the differential surge tank commonly used in long-distance diversion hydropower stations, in which interconnecting holes with rational cross sectional area were arranged at different elevations of breast wall between outer chamber and gate shaft used as a riser, a study was made on the influences of interconnecting holes on the differential performance and differential pressure of the surge tank, and further surge analysis was performed through a case study.

对于长引水式水电站常用的差动式调压室，分析了其兼作升管的闸门井和大井之间的胸墙在不同高程上布置的面积合理的连通孔，对调压室的差动性能和压差的影响，并结合实际算例进行涌浪分析。

The STK730-080 is a zero delay buffer that distributes a differential clock input pair to ten differential pairs of clock outputs (Y[0:9], Y[0:9]) and one differential pair feedback clock outputs .

该STK730 - 080是一种零延迟缓冲器，差分时钟分配一个输入对，以10的时钟输出（是[0时09]， [0点09]）和一个差分对的差分对时钟输出反馈（FBOUT，FBOUT）。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。