非线性

It provided a correct and reasonable mathematical model for the analysis of the ultimate bearing capacity and crankle stability of the thin-walled structure.

论文在比较了两种运动描述方法（完全拉格朗日法和更新拉格朗日法）异同点并分析了非线性几何关系及大变形下的弹性物理关系的基础上，基于增量虚功原理推导了几何非线性空间梁元单元切线刚度矩阵，采取分模块形式，分别表示了轴力、弯矩、双力矩对几何矩阵的贡献；通过球面显式荷载增量迭代式弧长法求解方法编制程序，很好地实现了几何非线性增量荷载的自动步长选择及全过程跟踪，为薄壁杆系结构的极限承载力分析和弯扭失稳分析，提供了较为精确合理的分析力学模型。

The first 3D dimensional polymeric cluster 〓(8) has been synthesized though solid state reaction, the X-ray structural analysis showed that the three-dimensional framework of 8 has a very high degree of symmetry with three mirror planes and one four rotation axis in I4/mmm space group, and composed of two building blocks 〓 and 〓 bridged by S-Cu〓 and Cu〓-Cl bond.

化合物6非线性折射值n〓为-9.3×10〓m〓·w〓，显示自散焦性质，与我们以前观察到的现象相反，这可能是配体作用造成的；非线性吸收值α〓 1.23×10〓m·w〓，表现出较强的非线性吸收效应。

For nonlinear harmonic oscillators, we close the flow equations and acquired an explicit expression of energy-level. For nonlinear-coupled harmonic oscillators, we close the flow equations and diagonalize the Hamiltonian by numerical analysis methods.

对非线性谐振子系统，计算出系统参数随流参数变化的一组方程及系统的能级；对耦合的非线性谐振子系统，得出系统参数随流参数变化的一组非线性方程，数值分析对角化了系统。

Base on the lumped parameter model of the torsional vibration system of crankshafts with variable inertia and considering the nonlinear elasticity force and nonlinear dissipative force, a six-degree-of-freedom nonlinear dynamical equations with parametric excitation and compulsive force are deduced.

从旋转惯量变化的曲轴扭振系统的集总参数模型出发，同时考虑了系统的非线性弹性力和非线性耗散力，导出了参强联合作用下的六自由度非线性扭转振动微分方程。

In order to investigate the divarication and chaos properties in nonlinear stage of complex structures deeply and reasonably, the mechanism and essence of the structure mechanics performance must be analyzed.

复杂结构在非线性阶段的行为一般呈现出分叉特性与不稳定特性，为了深入地从机理上了解和认识产生这种现象的本质原因，从而更合理、客观地进行结构非线性力学性能的分析，揭示结构的宏观损伤演化规律，有必要进行随机结构非线性分析方法的研究。

Taking into account the temperature effect ,the nonlinear vibration of elliptic paraboloid cable net using carbon fiber cables under foundation displacement excitation was studieded.Then the nonlinear vibration equation was presented,whose approximate solution was given with Galerkin principle and KBM method.

在考虑温度变化的基础上，研究椭圆平面双曲抛物面碳纤维索网在基础激励下的非线性振动问题，建立了椭圆平面双曲抛物面碳纤维索网在基础位移激励下的非线性振动方程，采用Galerkin原理及KBM法求得了椭圆平面双曲抛物面碳纤维索网非线性振动的近似解。

To solve the nonlinear 0-1 programming problem, it is transformed into an equivalent continuous nonlinear programming on the domain of [0, 1] by a nonlinear equality discrete constraint.

为了求解非线性0-1离散规划问题，通过非线性等式的"离散性约束"将其转化为[0， 1]区间上等价的连续变量非线性规划。

According to the model, the reasons for electric nonlinearity for sensitivity is analyzed. This paper points out that the equivalent functions of nonlinear resistors in the circuit can be simulated by a voltage-controlled source and its expansion function, showing the behavior of electric nonlinearity for sensitivity.

依据此理论模型，对灵敏度电压非线性现象的成因进行了理论分析，并利用其中受电压控制的电压源及其扩展功能来模拟非线性扩散电阻在电路的等价作用，进而显示出压力传感器灵敏度电压非线性的成因。

We provide a substitution box, exponential permutation which has much measurable security, and give a enumerating result and a fast algorithm of calculating such permutation. An almost perfect nonlinear exponential permutation with high algebric degree is proposed. with some discussion on how to select the parameters of such permutation. The experimental result shows us a conjecture that there exists no such permutation over even dimensional space. As a way of generating substitution boxes, we briefly point out the cryptographic weakness of the exponential functions derived from such permutation. We also present two new cryptographic indexes, fixed point and cyclic structure, on which we investigate the performance of such permutation. Finally, we give a viewpoint about the application of correlation immune functions in designing substitution boxes.

提供了一种可度量安全强度的代换盒－幂置换；详细阐述了幂置换的实现和计数问题；给出了一种计算幂置换的快速算法；从几乎完善非线性幂置换角度讨论了幂置换参数的选取，并提出了一种高次几乎完善非线性置换；通过试验给出了关于偶数维空间上几乎完善非线性幂置换的一个猜想；简要给出了由幂置换派生出的幂函数的密码局限性；针对幂置换，提出了两个密码安全指标：不动点和循环结构；证明了幂置换在这两个指标下的密码性能；简要讨论了相关免疫函数与代换盒设计的关系。

Thermal stress calculation in ice cover is a nonlinear problem, this includes edgeconditions nonlinearity, ice specific heat and conductivity nonlinearity, and ice elasticmodulus and linear thermal expansivity nonlinearity.

冰层温度应力问题是非线性问题，包括边界非线性、冰的比热C和导热系数K的非线性、冰弹性模量和热膨胀系数的非线性等。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。