查询词典 equivalent equation

Based on three dimensional transient heat conduction equation and elastic stress-strain equation, the temperature rise, distortion and equivalent stress distribution of white bijou window irradiated by high power annular beam (λ=1.315 μm) are simulated using a three dimensional finite element model.

基于三维瞬态热传导方程和弹性应力－应变方程，研究了空心环形强激光束（波长1.315μm）辐照下白宝石窗口温度、变形和应力的分布规律；研究了空心矩形强激光束（波长3.8μm）辐照下氟玻璃窗口温度、变形和应力的分布规律。

According to that characteristic and based on the differential equation of the deformed surface of the orthotropic plate, with one principal direction size fixed, changing another principal direction size linearly, maintaining elasticity coefficient the same as in the first principal direction and Poisson ratio equal to the geometric mean of two principal Poisson ratios, the original orthogonal plate is equivalent to an isotropic plate. Results obtained show that the deflections of the equivalent isotropic plate are the same as the deflections of the original orthotropic plate at the corresponding points, the forces of the correspondent points have simple relations.

根据这一特性、从正交各向异性板挠曲面的偏微分方程出发，保持一个主方向尺寸不变，另一主方向的尺寸做线性缩放，保持弹性模量与第一主方向相同，泊松比取2个主方向泊松比的几何平均值，将这类正交各向异性板等效为一块各向同性板；通过分析得到：各向同性板任意点的挠度就是原正交各向异性板对应点的挠度，各对应点内力之间存在简单的比例关系，该文的方法将为工程技术人员提供方便，同时可以更加直观的认识正交各向异性板的受力。

First, the state～space equation of the circular inverted pend ulum system was established based on the Lagrange Equation. On the base of that, the circular inverted pendulum was swung up by the energy control strategy, and the controller of the system was designed by the pole placement of the optimal control theory. Second, in order to realize the observation for the unknown vari ables, stable state observers were designed based on the equivalent principle of sliding mode variable structure.

该方案在采用 Lagrange 函数建立状态空间方程的基础上，利用能量控制策略实现自动起摆；采用最优控制理论中的极点配置法设计倒立摆系统的控制器；同时利用滑模变结构的等值原理设计观测器，实现对系统未知状态变量的观测。

In this paper,on the basis of the closed loop circuit equation of the equivalent plant mechanism,a design equation of space four-bar mechanism is set up.

本文在当量平面机构回路闭合方程的基础上建立空间四杆机构的设计方程，为叉角90°的空间四杆机构设计的研究提出了又一方法。

In chapter 3, the equation for solving free vibration of tube in tube tall building, which is developed by using equivalent closed tube method, is proved strictly to be the fourth-order Sturm-Liouville differential equation.

第三章严格证明了按等代筒体法推导出来的筒中筒高层结构自由振动方程是四阶Sturm-Liouville微分方程。

Methods From Newton's equation and the continuity equation, an equivalent analogue circuit model can be derived for each small segment of the coronary arteries.

根据牛顿定律和连续性方程，用电路分析模型来表示冠状动脉的每一小部分。

The relations of inducing skin current of shielding layer, core voltage and core current with the environment field were obtained. The change of shield layer current wave with grounding state of external shield and core voltage with loading resistance was analyzed. According to the dependence of shield layer current oscillating frequency on electromagnetic wave propagation velocity, conception of transporting line of shield layer-ground with equivalent relative dielectric constant was presented. fited equation of equivalent relative dielectric constant with change of cable height was given.

试验得到九芯电缆屏蔽层感应电流、芯线感应电压、芯线感应电流以及环境场之间的关系；分析了皮电流波形随外皮接地状态的变化，芯电压随负载电阻的变化；基于皮电流振荡频率与电磁波传播速度的关系，提出了屏蔽层-大地"传输线"等效相对介电常数概念，给出了等效相对介电常数随电缆高度变化的拟合式；皮电流计算与测量结果在波形、振荡周期、衰减规律等方面有较好的一致性。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程，确定岩石三维损伤张量的定义，对损伤张量进行简化计算并得出其工程计算方法，采用等效应力假设得出有效应力的基本表达形式，对有效应力进行对称化，得出节理损伤岩体的三维本构关系，在有限元方程中实现弹塑性和损伤耦合；借鉴弹塑性渐进退化方法的思想，采用有限元的方法模拟岩石损伤渐进破坏过程，用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序，通过模拟已有的实验破坏过程，得出模型的破坏图像和轴向荷载变形曲线，与实验结果基本一致。

Third, mensurated the front axles load-time history when truck was running on general tar-paved roads, mountainous roads and the proving ground enhancement roads, second sampled and pretreated to the load-time history with RPCⅢ software of MTS corporation, acquired the relationship of the frequence of the mean and amplitude load, obtained the zero mean equivalent loads using Goodman experiential fatigue equation, acquired the Weibull distributing functions of equivalent loads of respective roads.

第三，测定了汽车前桥在一般沥青公路、山区公路和试验场强化试验路面的载荷时间历程。对载荷时间历程进行了二次采样和数据预处理。采用雨流计数法得到了各路面的载荷均、幅值的频次关系，并根据Goodman经验疲劳公式，得到了零均值的等效载荷及相应的频次。利用数理统计的方法得到了各路面的等效载荷的Weibull分布函数。

So the research on the thermo-economics analysis of thermal power plant is significant, this paper focuses on this field and gets some conclusions as follows: Based on Equivalent Enthalpy Drop Method and Cyclical Function Method, a conception, New Heating Steam Flow, is proposed and defined in this paper, which makes it possible to separate the cogeneration circle into condensate steam circle and heating steam circle and to get the new power equation and calculate the Rate of Electrical Power Generation by Heating Steam with Net Equivalent Enthalpy Drop.

在等效热降法的基础上，结合循环函数法的循环分析理论，通过引入热化新蒸汽量的概念，使得常规抽凝供热机组的纯凝汽循环与供热抽汽循环得以分离，从而得出了相应的供热机组汽轮机的功率方程，并实现了热化发电量与净等效热降计算的统一，最终完成了利用等效热降法对供热机组热化发电率的计算，使得已在凝汽机组中应用成熟的等效热降法可以方便地应用于供热机组，进行经济性分析和计算。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。