查询词典 nonlinear system

The hyperbolic-type nonlinear model and rigid and perfectly-plastic model are usually adopted to simulate the constitutive behavior in tangent direction of contact surface. in fact, however, the hyperbolic-type nonlinear model can not definitely display the plastic flow deformation after shear failure while rigid-perfectly-plastic model can not describe the nonlinear deformation before shear failure.

对于土与结构间接触面的切向本构关系，目前通常采用双曲线非线性弹性模型或刚塑性模型来描述，但是，传统的双曲线非线性模型不能明确地表达剪切破坏后的塑性流动变形特性；而刚塑性模型又无法描述剪切破坏之前的非线性弹性变形。

Several important nonlinear equations of mathematical physics such as φ4 equation, Klein-Gordon equation, the approximate equations of sine-Gordon equation and sinhGordon equation, Landau-Ginzburg-Higgs equation, Duffing equation, nonlinear telegraph equation are the special cases of the nonlinear wave equation presented in this paper.

几个有重要应用的非线性数学物理方程，如矿方程，Klein-Gordon方程，Sine-Gordon方程，及Sinh-Gordon方程的近似，Landau-Ginzburg-Higgs方程，Duffing方程，非线性电报方程等都可作为该方程的特殊情形得到相应的显式精确解，这里方法也可推广到n+1维空间情形。

The optical nonlinearities, including the nonlinear absorption, the nonlinear refraction and the third-order nonlinear polarizability of 2-(2′-hydroxyphenyl)benzothiazole in cyclohexane, have been investigated using a single-beam Z-scan technique.

以532 nm皮秒脉冲作泵浦光，采用单光束Z-扫描技术对具有激发态分子内质子转移效应的有机分子2-(2′-羟基苯基)苯并噻唑在其双光子吸收区的非线性光学特性进行了详细地研究。

Two kinds of manipulative methods are applied to heating furnace systems, they belong to classical PID ,nonlinear PID .From comparing with them,we can find that the nonlinear PID method which is presented by this paper, not only has the characteristic of high "robustness and adaptability" that nonlinear PID controller has,but also has higher corresponsive speed and shorter regulating time.

基于这种非线性PID，结合加热炉的特性，设计出了一种非线性PID控制器，并分别用普通PID、非线性PID对其控制，通过系统仿真比较发现，本文提出的非线性PID不仅具有高鲁棒性和适应性特点，同时使调节时间更短，响应速度更快。

Based on the analysis of the process of free orthogonal metal cutting, the theory of elastic-plastic distortion and temperature field was discussed. Yield rule, intensify rule, fluxion rule, types of contact and diathermanous model of metal cutting were also analyzed detailedly. The FEA model of stress field and temperature field of free orthogonal metal cutting were established by the fundamental idea of FEA. State nonlinear, material nonlinear and geometry nonlinear thermal-stress coupling were analyzed by FEA technology. The separate criterion of chip and dispose of contact types were research emphatically.

本文在直角自由切削过程分析的基础上，讨论了金属切削过程中的弹塑性变形理论和温度场理论，详细分析了屈服准则、强化准则、流动准则、金属切削传热模型、接触类型等问题，并利用有限元的基本思想，建立了直角自由切削应力场和温度场的有限元模型，进行了状态非线性、材料非线性和几何非线性的热力耦合分析，重点研究了切屑分离标准的确定、表面接触类型的处理等问题。

In (1), the nonlinear function f is a known nonlinear continuous function of x , and the control gain g is a known nonlinear continuous and locally invertible function of x .

在（1）中， f是一个关于已知的非线性连续函数 x 的非线性函数，控制增益 g是关于 x 的已知的连续非线性的函数。

In this paper, we study nonlinear perturbation analysis of mesoscale verticalcirculation and evolution equation by means of f plane, non-hydrostatic balance andfilter model. Outstanding nonlinear characteristic of mesoscale disturbance invertical direction, we obtain nonlinear symmetric disturbance equation anddisturbance amplitude s evolution equation by use of multi-scale and singularperturbation technique.

中文摘要：本文采用f平面、非静力平衡、滤声波模式，讨论了大气中尺度非线性动力学方程，通过尺度分析重点突出了扰动在垂直方向上的非线性特征，从而得到了对称扰动非线性方程，运用多重尺度方法和摄动分析讨论了对称扰动非线性重力惯性波的演化过程，得到非线性重力惯性波振幅演化服从广义的非线性Schrdinger方程。

ABSTRACT Rough sea surfaces are formed with the interaction, which is nonlinear, of seasurface wind and gravity and surface-tension of sea water. Also nonlinear is the interaction of sea surfaces with electromagnetic waves. So nonlinear theory and method should be employed in the study of EM scattering from rough sea surfaces.

粗糙海面是在海面风、海水的重力和海水表面的张力的相互作用下形成的，这种相互作用是非线性的；电磁波照射到海面后，电磁波与海面的相互作用也是非线性的；因此采用非线性的理论和方法研究电磁波与海面的相互作用更能反映其物理本质。

Based on the pattern of partial double-layer LICS, different analysis models of nonlinear, linear, rigid joint and pin joint were compared, linear property of double-layer region and nonlinear property of single-layer region was disclosed, and then a nonlinear-linear combine method was put forward with a definite object in view.

针对局部双层叉筒网壳的布局特点，本文对局部双层叉筒网壳进行了非线性、线性、刚接、铰接等多种分析方法的比较，揭示了双层区域的线性性质和单层区域的非线性性质，进而有的放矢地提出了&非线性-线性联合&这种适合局部双层网壳分析的合理、准确、高效的方法。

Utilizing this mathematics model, we discuss the varying tendency of minimum reflectance and resonance angle under the linear and nonlinear condition. In addition, we discuss the changes of the minimum reflectance, resonance angle, nonlinear refraction index and nonlinear absorption index verse light intensity.

利用该数学模型，讨论了线性和非线性情况下，最小反射系数和共振角的变化趋势，此外，我们还讨论了最小反射系数、共振角和折射率实部和虚部随着光强的变化。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。