机械运动分析报告报告.docVIP

基于Mathematica的机构运动分析研究 研究小组成员： 龚加庆 付忠贵 金晓东 卢航 赵航 基于Mathematica的机构运动分析研究 摘要：机构运动分析的任务是在一直尺寸及原动件运动规律的情况下，确定机构中其他构件上某些点的轨迹、位移、速度及加速度和构件角位移、角速度、角加速度。这些分析无论是设计新机械，还是为了了解现有机构的性能，都是十分重要的，而且是究机械动力性能的重要前提。现有比较重要的两种结构运动分析方法：图解法和解析法。基于解析法的精确性同时利用计算机的标准运算等优点，我们选择利用Mathematica对机构进行运动的分析。我们利用解析法对要研究的四连杆机构建立方程，给定原动件及构件的尺寸参数，在通过Mathematica编程来求解相关构件上一点的运动规律，并对其进行画图。然后再利用admas软件进行相应的仿真并画出对应点的运动参量的图线来验证我们利用Mathematica求解出的点的运动规律。结果两款软件给出的对应点的运动参量（位移，速度，加速度）图线完全一致。因此我们得出结论基于Mathematica的机构运动分析研究是十分科学可靠的，并且有很强的实用性，有很大的利用价值。 Abstract: The organization is the task of motion analysis has been moving pieces of the original size and movement of thecircumstances, determine the organization of certain other components in the locus ofpoints, displacement, velocity and acceleration and angular displacement components, angular velocity, angular acceleration. The analysis of both the design of new machinery, or to understand the performance of existing institutions are very important to study mechanical power and is an important prerequisite for the performance. Two of the more important structure of the existing motion analysis: graphical and analytical method. Analytical method based on the accuracy of the standard operations while leveraging the advantages of the computer, we chose to use Mathematica on the bodies of sport. We use analytical method to study the establishment of four-bar linkage equation, given the original size of moving parts and component parameters, related by Mathematica program to solve a point on the movement of components, and its drawing. Then use admas software simulation and draw the corresponding point of the motion parameters corresponding to the graph to verify that we use Mathematica to solve the movement of the point. The results of two corresponding points given software movement parameters (displacement, velocity, acceleration) of lines exactly the same. Therefore, we conclude based on kinematic analysis of Mathematicas