查询词典 nonlinear programming

Nonlinear functional analysis is not only profound theory but also widelyused research discipline in mathematics, in the context of nonlinear problemsof mathematics and natural sciences, a number of theories and methods of dil-ing with nonlinear problems have been established.

非线性泛函分析是数学中既有深刻理论又有广泛应用的研究学科，以数学和自然科学中出现的非线性问题为背景，建立了处理非线性问题的若干理论和方法。

Due to the complexity of the nonlinear system,it is classified as five kinds of discrete nonlinear multi-variable system according to nonlinear operator.

鉴于非线性多变量系统的极端复杂性，将离散的非线性多变量系统按非线性算子的不同分为五类。

The joint effect of active and reactive power on the voltage stability of a typical power system was considered by analysing the two parameter bifurcation problem related to nonlinear oscillation phenomena. Numerically, as the active power P1 increases, the Hopf points get closer and eventually coincide at P1=1.455 43 the cyclic fold curve gets closer and closer to the Hopf curve and finally intersects the Hopf curve at a singular point the period-doubling points also get closer and finally coincide at P1≈0.65. The stability behaviour is pre-determined using the normal form approach near the limit point of the Hopf curve. Hence, in the power system attention should be paid to both the consumption of active power and the decrease in the reactive power to prevent nonlinear oscillations. A controller can be designed to absorb some active power and to avoid the nonlinear oscillations that damage the system components.

针对一个典型的单机无穷大电力系统，通过分析系统的双参数分岔的非线性振荡现象，综合考虑有功和无功功率对电压稳定性的影响数值分析表明，随着有功功率的增加，电力系统的Hopf点越来越靠近，最终合为一点在P1=1.455 43处同时圈折cyclic fold 曲线也越来越靠近Hopf曲线，并在Hopf曲线的稳定与不稳定临界点处与Hopf曲线相交倍周期分岔点也随着越来越靠近，最终在P1≈0.65 合为一点应用正规形理论方法，初步确定了Hopf曲线极限点附近的稳定性态因而，电力系统应注意让负荷利用有功功率，减少无功功率的产生以防止非线性振荡另外，可以设计一个稍微吸收网络的有功功率的控制器，以避免因周期振荡而造成电力系统仪器的损坏或电压崩溃

Combustion instability in liquid rocket engine is investigated with theoretical analyses, numerical simulations and experiments. Nonlinear science, such as Nonlinear Dynamics, Non- equilibrium Thermodynamics, and Wavelets, is introduced in the studies.Nonlinear oscillation equation of chamber pressure is established.

本文结合非平衡热力学、小波分析、非线性动力学等非线性学科，建立燃烧稳定性理论模型，发展两相喷雾燃烧非定常数值模拟程序，利用激光测粒系统，发动机高频热试系统等测试手段，重点围绕液体推进剂的化学动力学过程，对燃烧不稳定进行了较为系统的理论、仿真和实验研究。

Also the response amplitude will be changed with the initial conditions due to the nonlinear properties of the cables.Taking the bending stiffness, cable sag and cable inclination into consideration, the space vibration control of the cables using the visco-elastic dampers in cable-stayed bridges is investigated by joining the center difference method and the state space strategy. Both the maximum modal damping ration and the optimal damper size are obtained, then the practical suggestions are proposed for the design of the dampers. The space nonlinear vibration equations of the cable-damper system are derived, and anew hybrid method for solving the cable-damper system is presented by combing the Newmark method and Pseudo-force technology. According to the known properties of the cable-damper system, the nonlinear transient responses are analyzed under all kinds of excitations. Based on the transient response, the control effectiveness of the visco-elastic dampers is further demonstrated.

综合考虑了拉索抗弯刚度、垂度的影响，研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制，联合中心差分方法及状态空间法，得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数，并对斜拉桥拉索的阻尼器设计提出了参考建议：考虑拉索抗弯刚度、垂度及几何非线性，导出了索-阻尼器系统的空间振动非线性方程组，结合Newmark方法及伪力(Pseudo-Force)方法，创新地提出了求解非线性方程组的杂交方法，根据拉索-阻尼器系统的阻尼特性，在各种荷载作用下，对索-阻尼器系统的非线性瞬态振动响应进行了研究，从系统响应的角度更加直接地验证了阻尼器的控制效果。

The estimation problem of the fuzzy nonlinear complexity of the random vector is studied, and some upper bounds are given. The limit properties of fuzzy nonlinear complexity of random vector are studied, and the limit theorem and the upper bound of variance limit of the fuzzy nonlinear complexity of random vector are given.(3) Enumeration of lst-order correlation-immune functions is discussed further.

首次提出了模糊非线性复杂度的概念，对随机向量的模糊非线性复杂度的均值进行了估计，给出了若干上界估计公式，并研究了随机向量模糊非线性复杂度的极限性质，给出了随机向量模糊非线性复杂度的极限定理及其方差极限的上界。

Three types of nonlinear element are introduced, one is the existing elastic-plastic flexural column element for reinforced concrete columns, the other two are nonlinear bearing element and nonlinear restrainer element developed by the author.

论述了用逐步积分法进行多点激励下非线性地震反应分析的过程，其中包括三种非线性单元的建立（前人发展的钢筋混凝土弹塑性梁柱单元，作者发展的非线性支座单元、非线性挡块单元）。

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

For accuracy and computation cost, the nonlinear finite element structural dynamics model of the naval gun is created with different elements such as solid elements, shell elements and the nonlinear components are considered, especially the large displacement slide and the nonlinear spring connection between gun tube and cradle rail.

在建立有限元模型时，考虑了火炮各部件间复杂连接，尤其是身管与摇架间的大位移滑动接触的非线性问题。

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。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。