对弹性力学中变分原理教学的探讨  

Discussion on Teaching of Variational Principle in Elastomechanics

作　　者：李纬华[1] 陈飞昕[1] 

机构地区：[1]广东技术师范学院机电学院,广东广州510635

出　　处：《广东技术师范学院学报》2015年第2期86-88,共3页Journal of Guangdong Polytechnic Normal University

摘　　要：弹性力学基本理论广泛应用于土木工程、机械工程和新材料等工程和科学领域.变分原理是弹性力学的重要组成部分,是建立各种近似解法和数值方法的基础.本文通过对内力功、应变能密度和余应变能密度等重要概念及变分原理推导途径的阐述,探讨了变分原理的教学内容和方法,以期激发学生的学习热情,提高教学质量.The fundamental basic theories of the elastomechanics are commonly applied in civil engineering,mechanical engineering and advanced material science. As a significant part of the elastomechanics, variational principle is the basis of constructing various approximate and numerical methods. Several important concepts, such as internal work, strain energy destiny, complementary strain energy destiny and the approach to establish variational principle, are elaborated in this paper. The pedagogy and contents of variational principle are discussed in order to stimulate students＇ enthusiasm for learning and improve the quality of teaching.

关 键 词：弹性力学 变分原理 内力功 应变能密度 余应变能密度 

分 类 号：O343[理学—固体力学]