点的合成运动中动点的选取方法分类与讨论DISCUSSION AND CLASSIFICATION FOR THE SELECTION METHODS OF MOVING POINT IN RESULTANT MOTION
余为,郝颖
摘要(Abstract):
在点的合成运动问题中,动点和动系的选择是解题的关键。本文梳理了相关文献中关于动点和动系的选取原则和方法,根据近年来出现的一些新题型增加了相关内容并进行分类,总结得出了选取动点的一套更全面和直观的方法,即动点为质点、不计尺寸的运动构件、不变的接触点、圆心、铰链及辅助物体等六种类型。同时,对于一些特殊类型的题目进行了讨论,分析了解题过程中出现的常见错误,并给出了更恰当的解答方法。研究结果可为青年教师及学生提供有益的参考。
关键词(KeyWords): 合成运动;动点;方法;分类
基金项目(Foundation): 河北省教学改革研究与实践项目(2019GJJG077)
作者(Author): 余为,郝颖
参考文献(References):
- [1] 李淑堃.关于动点动系的选择原则[J].力学与实践,1985(5):54-57.LI S K.On the selection principles of moving point and moving coordinate system[J].Mechanics in Engineering,1985(5):54-57.(in Chinese)
- [2] 薛克宗.动点动系的选择方法与相对运动轨迹的几何性质[J].力学与实践,1986(1):47-49.XUE K Z.The selection methods of moving point and moving coordinate system and geometric properties of relative motion[J].Mechanics in Engineering,1986(1):47-49.(in Chinese)
- [3] 李佩春,任贵斌,彭祝.对“关于动点动系选择原则”一文的讨论[J].力学与实践,1987(1):40-46.LI P C,REN G B,PENG Z.Discussion on the article “On the selection principles of moving point and moving coordinate system”[J].Mechanics in Engineering,1987(1):40-46.(in Chinese)
- [4] 冯立富.动点和动系的选取原则和方法[J].力学与实践,1987(5):51-52.FENG L F.The selection principles and methods of moving point and moving coordinate system[J].Mechanics in Engineering,1987(5):51-52.(in Chinese)
- [5] 吴云存.动点动系选择的唯一准则[J].湖北汽车工业学院学报,2000,14(4):8-12.WU Y C.The only selection principles of moving point and moving coordinate system[J].Journal of Hubei Institute of Automobile Industry,2000,14(4):8-12.(in Chinese)
- [6] 陈奎孚,王建立.动点—动系选择中若干问题的商榷[J].邢台职业技术学院学报,2008,25(3):1-2.CHEN K F,WANG J L.Some comments on selecting moving point and moving coordinate[J].Journal of Xingtai Polytechnic College,2008,25(3):1-2.(in Chinese)
- [7] 王小岗.论点的复合运动中动点、动系的选择原则和方法[J].青海大学学报,1994,12(1):10-14.WANG X G.The selection principles and methods of moving point and moving coordinate system in the resultant motion problem of point[J].Journal of Qinghai University,1994,12(1):10-14.(in Chinese)
- [8] 干为民.点作合成运动时动点、动系、定系选择方法的讨论[J].常州工业技术学院学报,1994,7(4):42-48.GAN W M.The selection methods of moving point,moving coordinate system and fixed coordinate system in the resultant motion problem of point[J].Journal of Changzhou Institute of Technology,1994,7(4):42-48.(in Chinese)
- [9] 李之祥.论点的合成运动中动点、动系的选择与解题难易的关系[J].昆明冶金高等专科学校学报,1995,11(1):50-55.LI Z X.On the relationship between the selection of moving point,moving coordinate system in the resultant motion problem of point and the difficulty of solving problems[J].Journal of Kunming Metallurgical College,1995,11(1):50-55.(in Chinese)
- [10] 张东峰,陈晓峰.关于点的合成运动中动点的选取[J].高等理科教育,2004(2):87-90.ZHANG D F,CHEN X F.The selection of moving point in the resultant motion problem of point[J].Higher Science Education,2004(2):87-90.(in Chinese)
- [11] 王晨.点的合成运动中动点和动系的选择[J].山西建筑,2004,30(24):28-29.WANG C.The selection of moving point and moving coordinate system in the resultant motion problem of point[J].Shanxi Construction,2004,30(24):28-29.(in Chinese)
- [12] 陈奎孚,王建立.合成运动分析的五“相”型[J].邢台职业技术学院学报,2009,26(1):1-5.CHEN K F,WANG J L.Five classes of composite movement analysis[J].Journal of Xingtai Polytechnic College.2009,26(1):1-5.(in Chinese)
- [13] 陈奎孚.理论力学精细辅导[M].北京:清华大学出版社,2018:166-181.
- [14] 陈奎孚,姚海蓉,张云文.相切型传递的加速度表现[J].物理与工程,2018,28(2):29-35.CHEN K F,YAO H R,ZHANG Y W.The acceleration manifest of the tangent-type transmission[J].Physics and Engineering,2018,28(2):29-35.(in Chinese)