基于Maple的理论力学教学实践  

Teaching Practice of Theoretical Mechanics Based on Maple Procedure

作　　者：宋海珍[1] 卢成[1] 张鸿军[2] 

机构地区：[1]南阳师范学院物理与电子工程学院,河南南阳473061 [2]南阳师范学院教师教育实训中心,河南南阳473061

出　　处：《实验室研究与探索》2011年第7期11-14,共4页Research and Exploration In Laboratory

基　　金：国家自然科学基金资助项目(10947020);2010年河南省理论力学精品课程资助项目

摘　　要：利用Maple强大的符号与可视化功能,方便、快捷、形象、直观地求解了理论力学中的几个具体问题,实现了基于Maple的理论力学可视化教学。Maple在数值计算和数据可视化方面具有较强的能力和特色,能简单、快捷地处理理论力学中自由落体偏东微分方程的求解,有限长度线段引力场的场强和引力势的计算问题,并同时绘制出数值解的2D、3D图形。列举了傅科摆的运动轨迹、洛伦茨方程求解计算的可视化结果,给出了洛伦茨方程求解的Maple程序。具体实例表明,用Maple来完成微分方程的求解和数值计算,实现复杂运动过程和计算结果的形象直观化,便于对各种初始条件下各变量的关系进行比较分析。对于物理教学提供了一种方便、快捷地实现可视化教学的方法。By the powerful symbol,visualization,convenience,promptness and image features of the Maple,a few concrete questions of theoretical mechanics were simulated and explained.The visualization teaching of the theoretical mechanics based on the Maple procedure was achieved.The Maple procedure also has strong ability in numerical computing and data visualization.It can quickly and easily deal with the theoretical mechanics questions for differential equations of freely falling body motion and field strength and potential of gravitational field of finite length of the line segment.At the same time,it can quickly draw out the two-and three-dimensional graphics of the numerical solutions.The visualization of movement of Foucault＇s pendulum and Lorenz equations were enumerated.The Maple of the solution process for Lorenz equations were presented.The examples show that the using of Maple to solve the differential equation can improve the visualization of the complex motion and the calculated results.

关 键 词：MAPLE 理论力学 微分方程 

分 类 号：G434[文化科学—教育学]