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Joints are modeled by spring and rigid beam elements based on their mechanical properties, and the stiffness of five typical joints are calculated.

根据接头的力学特性，利用弹簧单元和刚性梁单元对接头进行了模拟，计算了车身5种典型接头的刚度。

Inthis work, by using the boundary element method and the joint theory, thewhole machine structure is equivalently modeled by beam elements and spring elements,the corresponding whole machine static model is constructed and the basic propertyparameters of the unit surface of the joints are introduced. The analysis software of thewhole machine static feature is worked out. The optimal design method based on thegenetic algorithm is proposed with the whole machine structure of multiple variablerestrains the optimal design software is developed as well.

本文运用边界元方法和结合部理论，将机床整结构用梁单元和弹簧单元进行等效，并建立相应的整机静力学模型，引入了结合面基础特性参数；编制了相应的整机静态特性解析软件；然后针对多变量约束的机床整机结构提出了用遗传算法进行优化设计的方法，并且编制了相应的优化计算软件。

Lateral random loads is modeled as stationary process of time parameter t, having nothing to do with its space position.

这种随机性主要表现为在同样基本条件下测得到的干扰随时间变化的历程曲线均不相同，每一具体的时程曲线相当于相应随机过程的一条样本曲线。

Because the low frequency area of one image can be modeled as a stationary stochastic process, the LMS algorithm could be adopted.

由于图像的缓变区域可等效为一个平稳随机过程，使得LMS算法能够适用。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

The fading characteristic of wireless channel is modeled as stochastic process rather than stochastic variable as used in usual method.

在此将无线信道的衰落建模为随机过程，而不是通常的确定性随机变量。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

In nowadays literature, schedule recovery problems are mainly modeled by time-space network, solved using Lagrangian relaxation heuristic algorithm, subgradient optimization and commercial optimization software ILOG.

目前国外主要采用时空网技术建模和拉格朗日启发式算法、次梯度优化法求解。

Batch process plant described by subprocess is modeled by timed Petri n ets, and heuristic dynamic optimization algorithm is proposed to control the pla nt.

用赋时Petri网来建立以子进程表示的批处理过程，并提出启发式动态优化算法对过程进行控制。

In subservience to the will of our God. The Lord has modeled to us the way when in Gethsemane he said,"Not my willbut yours be done".

你的意思。在今天这一章里，耶稣说任何要跟从他的人必须背上自己的十字架跟从他。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。