理论力学教学案例——外推式平开窗的运动分析  

A TEACHING CASE IN THEORETICAL MECHANICS——KINEMATIC ANALYSES OF A PUSH-OUT CASEMENT WINDOW

作　　者：许丹丹 王效贵[1] 郭宇 XU Dandan;WANG Xiaogui;GUO Yu(College of Mechanical Engineering,Zhejiang University of Technology,Hangzhou 310023,China;School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]浙江工业大学机械工程学院,杭州310023 [2]浙江大学航空航天学院,杭州310027

出　　处：《力学与实践》2023年第1期188-192,共5页Mechanics in Engineering

基　　金：浙江工业大学校一流课程培育资助项目(PX-99214272);浙江工业大学校级教学改革项目(JG2022027);浙江工业大学研究生教学“课程思政”改革试点课程建设项目资助。

摘　　要：外推式平开窗的打开和关闭由窗扇上下与窗框连接的连杆机构实现,其窗扇的运动分析是理论力学教学中一个典型的实践案例。本文给出了这一实例的简化模型和问题的描述,利用直角坐标法和基点法,对窗扇边缘点的运动方程、轨迹、速度和加速度进行分析,并从动力学角度讨论了如何开窗最省力。The opening and closing motions of a push-out casement window are controlled by the linkage between casement and frame.The kinematics of the casement is a typical practical case in the lecture of theoretical mechanics.In this article,a simplified model and a formulation of the problem for this kinematic process are given.Using the cartesian-coordinate method and pole method,the equations of motion,trajectory,velocity,and acceleration of the casement edge are established and analyzed subsequently.In addition,the approach to open the window with the smallest force is discussed.

关 键 词：理论力学 外推式平开窗 运动学 基点法 动力学 

分 类 号：O31[理学—一般力学与力学基础]