摘要
“理论力学”是工科专业重要的专业基础课程,而点的加速度合成定理是其重点及难点内容之一。针对学员在学习“理论力学”中点的加速度合成定理中对牵连速度和牵连加速度概念理解及分析中存在的难点与疑惑,从基本定义出发并基于具体案例,阐述了牵连速度的导数与牵连加速度的物理意义及其概念上的差异,厘清了牵连运动含转动时牵连速度与牵连加速度之间的关系,明确了牵连点随动点发生改变而导致的牵连速度的变化对牵连速度导数的影响,使学员更好地理解和掌握点的加速度合成定理的内容。
Theoretical Mechanics is an important professional basic course for engineering majors and the acceleration synthesis theorem is one of its key and difficult contents.This study aims at the difficulties and doubts in understanding the concept of implicated speed and implicated acceleration in the theory,and starting from the basic definition and based on specific cases,it explains the physical meaning and the conceptual difference of implicated speed as well as implicated acceleration.On this basis,the relationship between the implicated speed and implicated acceleration when the implicated motion includes rotation is clarified,and the influence of the change of implicated speed caused by the change of the implicated point with the moving point is clarified.This study can help students to better understand and master the content of the acceleration synthesis theorem.
作者
王沿朝
谢惠祥
郭剑峰
杜海霞
WANG Yan-chao;XIE Hui-xiang;GUO Jian-feng;DU Hai-xia(Department of Basic,Rocket Force University of Engineering,Xi’an,Shaanxi 710025,China)
出处
《教育教学论坛》
2023年第4期73-76,共4页
Education And Teaching Forum
基金
2022年度火箭军工程大学教育改革项目“基于OBE理念下的理论力学教学改革与探索”(HJJKTB2021028)。
关键词
理论力学
牵连速度
牵连加速度
加速度合成定理
求导
Theoretical Mechanics
implicated speed
implicated acceleration
acceleration synthesis theorem
derivation
