欧拉弹性线问题的Maple数值模拟  

NUMERICAL SIMULATION OF EULER ELASTIC LINE PROBLEM WITH MAPLE

作　　者：李银山 孙博华 LI Yinshan;SUN Bohua(Department of Mechanics,School of Mechanical Engineering,Hebei University of Technology,Tianjin 300130,China;School of Civil Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,China;Institute of Mechanics and Technology,Xi'an University of Architecture and Technology,Xi'an 710055,China)

机构地区：[1]河北工业大学机械工程学院工程力学系,天津300130 [2]西安建筑科技大学土木工程学院,西安710055 [3]西安建筑科技大学力学技术研究院,西安710055

出　　处：《力学与实践》2021年第5期789-795,共7页Mechanics in Engineering

基　　金：国家自然科学基金资助项目(51627812)。

摘　　要：基于现代信息技术与教学手段,在材料力学的课程教学中,开展了课程育人的探索与实践。通常的材料力学只讲小挠度梁的变形,本文对于弹性梁的欧拉方程,采用Maple编程求解了这个数学模型,并对集中载荷作用下大挠度悬臂梁的挠曲线形状进行了计算机仿真。分析计算了自由端转角,挠度和水平位移与载荷的力学特征,并与精确解进行了比较。拓宽了材料力学的教学范围。Modern information technology is used in teaching material mechanics as an exploration and practice of course education. In this paper, the Euler equation for an elastic beam is solved by Maple programming. It numerically simulated the deflection curve shape of large deflection cantilever beam under concentrated load.The effects on the mechanical characteristics of free end rotation angle, deflection, horizontal displacement and load are analyzed and calculated, and the numerical results are verified with the known exact solution. The teaching scope of material mechanics has been widened.

关 键 词：课程育人 材料力学 大挠度 数值模拟 

分 类 号：O3[理学—力学]