弹性力学“金课”建设中解决“三难”问题实践

【摘要】 文章按照国家建设"金课"要求,基于吴家龙教授编著的弹性力学教材内容和课程"三难"特点,以应力状态理论部分常见题型求解任意微分斜面应力矢量、正应力、切应力、主应力和应力主方向及最大切应力为例,分别应用Maple编制程序,再现弹性力学求解思维,解决学生数理求解难题;应用Matlab-GUI模块编制应力状态理论求解器,把繁琐抽象的力学公式和微分斜面结果进行图形可视化,使学生的抽象思维和力学思维得到兼容;通过弹性力学"金课"建设实践,可为学生力学学习及力学同行教学提供借鉴。更多还原

【Abstract】 According to the requirements of construction of "golden course", based on the contents of the Elasticity compiled by Wu Jialong, and the "trilemma" characteristics of the course, this research takes the common questions in the stress state theory as an example. The problems of the stress vector, normal stress, shear stress, principal stress, principal direction of applied force and maximum shear stress of any differential inclined plane are solved. The application of Maple programming to reproduce the elastic mechanics solution thinking is to solve the mathematical problems of students. Matlab-GUI module is used to compile the stress state theory solver, the complex abstract mechanical formula and differential slope results for graphic visualization, so that the students’ abstract thinking and mechanical thinking is compatible. Through the construction practice of "golden course" of elasticity mechanics, it can provide reference for students’ mechanics learning and mechanics teaching.更多还原