简谐振动圆频率教学引入方法探讨  

Method of introducing circular frequency in simple harmonic vibration

作　　者：王金华[1] WANG Jinhua(School of Sciences,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《天津职业技术师范大学学报》2021年第2期44-46,共3页Journal of Tianjin University of Technology and Education

摘　　要：由于形象化思维习惯,学生在理解简谐振动圆频率ω概念时易产生困惑,甚至与频率混淆。针对此问题,结合简谐振动振动方程、相关物理概念的讲授顺序以及学生形象化思维习惯,提出在讲授旋转矢量分析法时,利用“圆”的形象特征及振幅矢量的旋转角速率√k/m,定义圆频率及其与√k/m间的数量关系的方法。采用此方法讲授圆频率,有助于学生形象化理解圆频率,减少理解频率、圆频率时产生的混淆和困惑,进一步提高课堂教学效果。When understanding the circle frequencyωin simple harmonic vibration,students are easily puzzled,even confused with frequency.Based on the combination of the simple harmonic vibration equation,the teaching sequence of related physical concepts and students′thinking habits,the definition of circle frequency and the quantitative relationship between them are proposed to be introduced by using the image characteristics of circle in the rotation vector method and the rotation angular rate of amplitude vector,when teaching the rotating vector analysis method.This can help students understand circle frequency vividly,reduce confusion when understanding frequency and circle frequency,and improve the teaching effect via this method in teaching circle frequency.

关 键 词：简谐振动 圆频率 频率 旋转矢量法 

分 类 号：O321-4[理学—一般力学与力学基础]