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An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

The alternating group iterative method is used to solve the implicit scheme and the Crank-Nicolson scheme of the dispersive equation.

数值试验对色散方程的隐格式与Crank-Nicolson格式分别应用交替分组迭代求解。

There are three difference formats in this thesis. They are backward difference, Crank-Nicolson"s difference and Galerkin"s difference.

本文对时间域采用的离散格式有两点向后差分、Crank-Nicolson格式差分和Galerkin差分等。

The model is applied to numerically analyze the wave field and the coastwise current formed by the breaking of oblique incident wave in the Leadbetter Beach, Santa Barbara, California, USA. In the analysis the Crank-Nicolson scheme is adopted to solve the parabolic mild slope equation and the ADI finite difference scheme is applied to solve the model of wave induced coastwise current.

运用该近岸流方程，对美国Santa Barbara Leadbetter海岸波浪斜向入射所产生的波浪场及波浪破碎所形成的沿岸流进了数值模拟，其中抛物型缓坡模型采用Crank-Nicolson格式进行数值离散，近岸流方程采用ADI差分格式离散。

Based on Crank-Nicoson's technique, and a new approach for the numerical simulation of the model is raised. The truncation error of the one step difference method reaches O (△t^2+△x^2) and of quite good stability condition.

基于Coriolis加速度和Lagrangian应力公式，利用Newton第二定律导出轴向加速度运动弦线横向振动的动力学模型；通过线性变换将方程化为一阶无量纲的非线性微分方程组；并利用Crank-Nicoson的中点离散技巧，给出运动方程的单步二阶差分方法；算法把对运动方程和本构方程分别离散，使之可以用于不同本构的运动弦线的数值仿真。

Once more, applys three-dimensional CAD software Pro/Engineer establishing the geometry models of all kinds of parts in the crank link mechanism, then useing the Pro/E software assembling function assembles the components of crank link into the piston module, the connecting rod module and the crank module, then using Pro/E software mechanism analysis module (Pro/Mechanism), establishes the multi-rigid dynamics model of the crank link, and carries on the kinematics analysis and the dynamics analysis simulation, and it studies the piston and the connecting rod movement rule as well as crank link motion gear movement envelopment. The analysis of simulation results shows that those simulation results are meet to true working state of engine.

再次，应用三维CAD软件：Pro/Engineer建立了曲柄连杆机构各零部件的几何模型，在此工作的基础上，利用Pro/E软件的装配功能，将曲柄连杆机构的各组成零件装配成活塞组件、连杆组件和曲轴组件，然后利用Pro/E软件的机构分析模块(Pro/Mechanism)，建立曲柄连杆机构的多刚体动力学模型，进行运动学分析和动力学分析模拟，研究了在不考虑外力作用并使曲轴保持匀速转动的情况下，活塞和连杆的运动规律以及曲柄连杆机构的运动包络。

It was crank press slider crank mechanism design that crank press extensive use to blanking,bent,adjustment,mould stamping quiescent. This degree rated for single-point closed type mesotype skill pressure for 160 ton crank press.

压力机是冲压模具制造的常用设备，而提高冲压模具坯料精度，提高生产率，提高使用寿命，减少劳动劳动量的有效方法，此外，还要考虑到人机结合的合理性，使机床更人性化，便于工人的操作。

This paper gives a precise definition about crank angle between extreme positions for planar four-bar linkage and deduces the range of crank angle between extreme positions of crank-rocker mechanism , slider-crank mechanism and crank shaper mechanism.

对平面四杆机构极位夹角的定义作了较确切的表述，并推导出了曲柄摇杆机构、曲柄滑块机构和摆动导杆机构极位夹角的取值范围。

But if it can find clean water, crank or VIB also be a good way Asia ...

但是如果能找到合适干净的水域，crank或VIB也不失为一种好的路亚。。。

The Laplace modified method is used in time step and the backward Euler scheme and Crank- Nicolson scheme are developed. By applying the collocation method for the nonlinear term, the computation time is greatly saved.

采用Laplace修正的方法对时间层进行离散，建立了向后Euler和Crank-Nicolsoa两种格式；对于非线性项采用配点法，这样可以节约计算量。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。