查询词典 dynamic equilibrium

For a nonlinear autonomous dynamic system, there exists an adjoint system, which is a gradient system. All equilibrium points of the original system are stable equilibrium points in the adjoint system.

对于一个非线性自治动力系统，存在一个伴随系统，该伴随系统是一个梯度系统，原始系统的所有平衡点都是伴随系统的渐近稳定平衡点，并且每一平衡点存在解析形式的Lyapunov函数。

Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

论文对热点问题——反应精馏过程的建模与优化控制相关技术进行了深入的研究，取得了一系列成果：1、建立了反应精馏过程机理模型，基于拟均相假设，将反应和分离过程进行解耦，推导出反应精馏过程的非平衡级稳态模型和动态模型，通过引入推广的分离效率函数，对模型变量进行了合理划分，显著提高了模型求解效率；将动态模型和控制系统方程结合，建立了反应精馏过程控制系统研究的辅助工具。2、全面分析了乳酸提纯反应精馏新工艺试验装置，利用本文建立的过程机理模型，对该试验装置进行了稳态和动态性能分析及水力学核算；设计和分析了单边质量控制方案，比较了间接和直接物料平衡控制两种方案的控制性能。

C The profile is of berm, which the section below the berm is concave. Using the polynomial curve to fit the shapes of the mean profile, the exponential equation of the equilibrium beach profile in South China was established, which has a general form: y=〓+ C. 2 It's obvious for the beach processes to vary with seasons. The main variation processes of beach profiles are composed of four kinds of mode which are the equilibrium profile mode, the berm mode, the foreshore mode and the bar mode. 3 Beach systems of the arc-shaped coast in South China exhibit an wide range of morphologic and dynamic variability with respect to both time and local environment.

此外，采用多项式曲线对平均剖面进行拟合，建立了华南海滩均衡剖面的指数公式y=〓C+。2）海滩具有较明显的季节性变化，海滩剖面的变化模式一般可分为均衡剖面模式、滩肩模式、前滨模式及其沙坝模式等4种。3）海滩不同岸段的动力地貌状态在同一空间上的分布具有一定的连续性，在时间上具有一定的更替顺序。

The equilibrium equations under local coordinate are obtained through Euler angle transformation. In the modeling of warp, otter door is treated as the end node. The equilibrium equation of otter door is established through d\'Alembert\'s principle. It provides the end boundary condition of the dynamic model of warp.

通过欧拉角的转换关系获得了曳纲微元段矢量动力平衡方程在曳纲局部坐标系下的方程组形式；在建模过程中，将网板视为曳纲的尾部节点，根据达朗伯原理建立了网板的平衡方程，并将其作为曳纲模型的尾部边界条件。

There is a certain internal relation between chemical equilibrium and ecological equilibrium. Similar dynamic characteristies have been found.

化学平衡与生态平衡存在着一定的内在联系，它们具有相类似的动态特征。

The dynamic stability of the shell under axial compression is analyzed qualitatively by the linear equation of motion. There are three kinds of equilibrium state with different value dynamic parameter. They are stable,neutral and unstable equilibrium respectively.

利用线性的运动方程对轴压圆柱壳稳定性进行了定性分析，依动力学参数取值范围的不同，方程的解有稳定平衡、中性平衡和不稳定平衡三种情况，并给出了动力学参数与载荷参数之间的依赖关系。

The Nash equilibrium problem with l2-nor m bound disturbance was studied. The problem was considered as a compound dynam ic game described by N-person non-cooperative dynamic game and two-person zer o-sum dynamic game. By applying H∞ control theory method, the existence conditions of linear quadratic Nash equilibrium H∞ disturbance attenuati on strategies were presented and proved, and its state feedback Nash equilibrium solutions were given.

研究具有l2范数有界不确定性扰动的纳什均衡问题以具有不确定性扰动的线性二次纳什均衡对策问题为例，将其归结为由二人非合作非零和对策和各对策方与外部扰动的二人零和对策构成的复合对策问题，应用H∞控制理论方法，给出并证明了扰动衰减H∞状态反馈策略存在的条件和求解方法，并通过简例说明了算法的有效性

Four classes of partition models , empirical models , functional equilibrium models , optimal control models , and source-sink models were reviewed in this paper. The empirical models were widely used with minimal mechanistic assumptions. The function equilibrium models were successful in the simulation of the rootPcanopy ratio at the periods of the vegetative growth , but were poor to simulate portioning among other organs. The optimal control models were suitable for the modeling under the equilibrium state. The source2sink models were the most powerful and mechanistically based models capable of simulating dynamic photoassimilates partitioning between any organs of the plants.

对于同化物分配模型按照经验模型，目的性模型，源汇关系模型进行了总结归纳，分析指出：经验性模型应用最多但机理性差；功能平衡模型在模拟营养生长阶段同化物在条与根之间的分配很成功，但应用于其它器官之间很困难；最优化模型适于模拟平衡态下同化物的分配；源汇关系模型机理性最强，可模拟任何器官间的同化物分配，应用范围最广泛。

Objective: In study of atherosclerosis, extracellular matrix of plaque is closelyrelated to the evolution of AS ,the balance of MMPs and TIMPs is very important to maintain the dynamic equilibrium of ECM, and the creation of appropriate animal models of AS is the important prerequisite for studying pathogenesis of AS and therapeutic programs.

目的：在动脉粥样硬化的研究中，斑块的胞外基质成分的变化与疾病的进展有重要联系，而基质金属蛋白酶和金属蛋白酶组织抑制物的平衡对维持ECM的动态平衡有着十分重要的作用。

First, multi-sided platforms break the indirect relationship between value networks and customer interface. Further, there is a direct link to both sides which makes the multi-sided platform maintain a dynamic equilibrium with the external environment.

研究结果发现，第一：多边平台打破过去价值网路与顾客介面间接关系，其将两边直接连结，使得多边平台能够与外界环境保持动态平衡。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。