摘要
以梁弯曲中的固端梁和简支梁为例,推导了最小势能原理和最小余能原理在梁弯曲中的应用,进一步列出位移平衡方程和力的边界条件.该方法为变分原理在梁弯曲的应用提供理论参考,并且为研究不同约束条件下梁弯曲理论奠定基础.
The application of the principle of minimum potential energy and the principle of minimum residual energy in beam bending is derived,and the equations of displacement equilibrium and the boundary conditions of forces are further listed,taking solid-ended beams and simply supported beams in beam bending as examples.The method provides a theoretical reference for the application of the variational principle in beam bending and lays the foundation for the study of beam bending theory under different constraints.
作者
李聪
李意珠
屈恩相
刘爽
吕春
张学元
LI Cong;LI Yizhu;QU Enxiang;LIU Shuang;LüChun;ZHANG Xueyuan(School of Architecture and Civil Engineering,Qiqihar University,Qiqihar 161006,China)
出处
《高师理科学刊》
2023年第6期48-52,共5页
Journal of Science of Teachers＇College and University
基金
2022年省级(黑龙江省)大学生创新创业训练计划资助项目(S202210232131)
黑龙江省省属本科高校基本科研业务费青年创新人才项目(145209209)。
关键词
梁弯曲
最小势能原理
最小余能原理
变分原理
beam bending
principle of minimum potential energy
principle of minimum residual energy
variational principle
