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弹性梁在温度场中弯曲和屈曲变形的研究
引用本文:郭巧杭,李巍,林俊杰,任坤,陈文哲,陈资. 弹性梁在温度场中弯曲和屈曲变形的研究[J]. 福建建筑高等专科学校学报, 2014, 0(1): 6-8
作者姓名:郭巧杭  李巍  林俊杰  任坤  陈文哲  陈资
作者单位:[1]福州大学材料科学与工程学院,福建福州350116 [2]福建工程学院数理系,福建福州350118 [3]福建工程学院材料科学与工程学院,福建福州350118 [4]厦门理工学院,福建厦门361024 [5]圣路易斯华盛顿大学生物医学工程系,密苏里圣路易斯63130
基金项目:国家自然科学基金项目(11102040);福建省教育厅A类项目(JA 12238)
摘    要:研究两端固定弹性梁在温度梯度场作用下,在一定的温度变化条件下弹性梁可保持直立;探讨了当温度超过临界温度时,梁将发生屈曲变形,并计算了两端固定单跨梁产生欧拉屈曲的临界温度.

关 键 词:弹性梁  屈曲  机械失稳  形变  热应力

The study on the deformation and buckling of an elastic beam in temperature field
Guo Qiaohang,Li Wei,Lin Junjie,Ren Kun,Chen Wenzhe,Chen Zi. The study on the deformation and buckling of an elastic beam in temperature field[J]. Journal of Fujian College of Architecture & C.E., 2014, 0(1): 6-8
Authors:Guo Qiaohang  Li Wei  Lin Junjie  Ren Kun  Chen Wenzhe  Chen Zi
Affiliation:1. College of Materials Science and Engineering, Fuzhou University, Fuzhou 350116, China; 2. Department of Mathematics and Physics, Fujian University of Technology, Fuzhou 350118, China; 3. College of Materials Science and Engineering, Fujian University of Technology, Fuzhou 350118, China; 4. Xiamen University of Technology, Xiamen 361024, China; 5. Department of Biomedical Engineering, Washington University in St. Louis, St. Louis 63130, USA)
Abstract:In this work, we study the deformation and buckling of an elastic beam with fixed ends when subjected to a thermal gradient. Our study agrees with the previous result that the beam can remain straight under certain circumstances, but a further investigation reveals that Euler buckling can occur when the temperature exceeds a threshold value. The threshold value is calculated based on elasticity theory. This study can promote understanding of the phenomena of elastic instability in engineering structural components, and facilitate the design of functional devices using the principle of mechanical instability.
Keywords:beam  buckling  mechanical instability  deformation  thermal stress
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