查询词典 variation principle

Based on the variation principle, the corresponding finite element equations for the thermoelstic and heat conduction equations are obtained.

根据变分原理，得到热弹体运动方程和热传导方程相对应的有限元方程。

In the basic theory, the basic STFEM theory is perfected, the variation principle in form of a convolution included is given and proved.

在时空有限元法的基础理论方面，完善了时空有限元法的基础理论，给出并证明了具有普适意义的含卷积运算的变分定理。

Structural analysis; state-space method; variation principle; computer simulation; engineering application

结构分析；状态空间法；变分原理；计算机仿真；工程应用

Based on the variation principle, the calculation of elastic and plastic finite element can be regarded as an optimization problem.

根据变分原理，将弹性、塑性有限元的求解看成一优化问题，利用TH神经网络模型、遗传算法和退火算法等智能计算技术强大的搜索能力来进行优化求解。

The problem of solving linear equations changed equivalently into the problem of searching the minimum of unconstrained optimizations of function by variation principle in the paper.

首先通过变分原理将求解线性方程组的问题转化为等价的求解无约束函数最优化问题的极小值。

Based on the constrained variation principle, the penalty function suited to electromagnetic field calculation is proposed in this dissertation. Detailed research is conducted on some problems, such as the selection of penalisation parameters, the effect of penalisation parameters to the CPU time and the accuracy of solutions.

本文基于变分原理构造了适合电磁场数值计算的罚函数，得到了系统的控制方程，并对罚因子的选取原则及罚因子对计算精度和计算时间的影响进行了深入研究。

In the chapter 2, based on elastic mechanics and variation principle, the fundamental and process of static and dynamic FEM is presented, placing special emphasis on the modal superposition method.

第二章根据弹性力学和变分原理，系统总结了有限元法求解静力学、动力学问题(包括特征值、动力响应问题等)的基本原理和步骤，并重点对模态叠加法求解动力，响应问题作了阐述。

In this paper, the space-time finite element theory and its application technologies are studied and discussed. Furthermore the space-time finite element method is used to analyze the transient characteristics of electromagnetism equipments. The work is important to develop the numerical method for the transient electromagnetic field. The detailed work is as follow.In the basis theory of finite element method used in the transient engineering problem, the functional theory and the finite element theory are applied to studied the existence condition of a generalized variation principle, which is the basis of the space-time finite element method.

本文在完善时空有限元法的基础理论和应用技术并将该方法应用于解决电磁装置的瞬态过程分析等相关方面进行了深入的研究与探讨，该工作对于发展瞬变电磁场问题的数值计算方法具有重要的意义，为此进行了如下几方面的工作：在工程瞬变问题的有限元方法的基础理论方面，本文应用泛函理论和有限元理论，系统讨论了一般工程瞬变问题的变分定理的存在条件及对应的变分定理。

According to variation principle, the paper deduces stress increment formulas of external tendons in regular services stage.

利用能量变分原理推导出了正常使用阶段体外索应力增量公式。

In the buckling question under nonconservation force,a simply example( the dynamic stability question under the uniformly follower forces with small deformation % linear elastic, straight normal.) is considered.The variational equation of braid composite cylindrical shells subjectd to uniformly follower forces is deduced based on the variation principle of quasinatural frequency of elastic nonconservative system self-excited vibration.The calculated formulas of the flutter load and quasinatural frequency of shells are obtained. The program for calculating the flutter load is developed.The numerical example is given and some useful conclusions are obtained.

对非保守力作用下的屈曲问题，具体研究了圆柱壳在比较简单的情况，即小变形、线弹性、直法线假设下在随动力作用下的壳屈曲问题，由拟固有频率变分原理推出了圆柱壳受随从力作用的变分方程，得到了颤振载荷与壳弯曲的固有频率的计算公式，编制了相应的计算机程序，并给出了具体算例，得到了一些有益的结论。

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。