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From the view of fracture mechanics, the problem involving a center crack in a rectangular piezoelectric body under anti-plane mechanical shear displacement and in-plane electrical field is analyzed by the boundary collocation method in this paper.

从断裂力学的观点出发,采用边界配置法研究了含中心裂纹的矩形截面的压电材料在平面内电场和反平面变形作用下的应力场和电场的解,详细介绍了该方法的程序设计过程。

Piezoelectric materials ; mode-Ⅲ interface edge crack ; boundary collocation method ; general solution ; stress intensity factor

压电材料;反平面界面裂纹;边界配置法;基本解;应力强度因子

Valves are available in both flanged and butt welding ends. All conform to ASME specifications.

这些阀门都可配置法兰连接端口和对焊连接端口,都符合ASME标准。

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 the conventional collocation method, the number of points is equal to the number of unknown parameters.

在通常的配置法中,点数等于未知参数。

The finite element and orthogonal collocation method were used to transform these equations to ordinary differential equations and to solve them.

为研究生育酚同系物的色谱分离过程,建立了考虑轴向扩散、液膜传质阻力和内扩散阻力的一般性速率模型,采用有限元和正交配置法求解该模型。

The numerical solutions of the effectiveness factor for each model have been obtained by orthogonal collocation method and compared with experimental values under similar conditions.

用正交配置法求取数值解,并分别与对应的实验值比较,对各个模型的误差进行分析,提出了不同计算目的的适用模型。

A new method based on FWCM (fast wavelet collocation method) for time domain steady state simulation of nonlinear dynamic circuit is proposed.

本文提出一种基于快速小波配置法的非线性动态电路时域稳态模拟方法。

Then, according to Radau collocation method, the dynamic optimization problem is converted to a nonlinear programming one that contains continuous and discrete variables.

根据Radau配置法将动态优化问题转化为连续变量与离散变量并存的非线性规划问题。

According to Radau collocation method,the dynamic optimization problem can be converted to a nonlinear programming problem which contains both continuous and discrete variables.

根据Radau配置法将动态优化问题转化为连续变量与离散变量并存的非线性规划问题。

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