CAJ | 학술논문

考虑工科本科生教学特点,在弹性力学教学中,抓住数学和力学问题的内在联系,采用矩阵表达的形式阐述直角坐标与极坐标的变换关系,以及物理量（如位移、体力、应力、应变）的坐标变换关系,并利用坐标变换从直角坐标中的基本方程直接导出极坐标中的基本方程。按照这一教学思路,将数学知识与弹性力学有机结合,简化基本方程的推导过程,在对知识点深入和透彻讲解的同时,可与学生共同体会和分享数学与力学完美融合过程中的美学感受。
고필공과본과생교학특점,재탄성역학교학중,조주수학화역학문제적내재련계,채용구진표체적형식천술직각좌표여겁좌표적변환관계,이급물리량（여위이、체력、응력、응변）적좌표변환관계,병이용좌표변환종직각좌표중적기본방정직접도출겁좌표중적기본방정。안조저일교학사로,장수학지식여탄성역학유궤결합,간화기본방정적추도과정,재대지식점심입화투철강해적동시,가여학생공동체회화분향수학여역학완미융합과정중적미학감수。
According to the characteristics of undergraduate teaching in elastic mechanics, the interconnection between mathematics and mechanics problems is captured, the transform relationship between the rectangular coordinates and the polar coordinates is expressed using matrix form, and the coordinate transformation of basic physical quantities, such as displacement, body force, stress, strain, can been expressed by matrix form. Using the coordinate transformation, the basic equations in polar coordinates is directly derived from the ones in rectangular coordinates. In this teaching way, the knowledge of mathematics and mechanics is naturally combined, and the derivation of the basic equations is simplified. Moreover, the aesthetics of mathematics and mechanics can be experienced and enjoyed.