两端固支楔形变截面梁的热弯曲讨论
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摘要
讨论了两端固支楔形变截面梁的热弯曲问题.研究表明:在热状态下,两端固支楔形变截面梁的两固定端支承反力不为零;随着楔度比逐渐增大,变截面梁两端的弯矩比逐渐减小,即两端的弯矩逐渐趋于相近.当温度沿梁高呈线性分布时,两端固支楔形变截面梁的任意截面弯矩都不相同,所以会发生弯曲变形.文中,还指出了有关文献研究两端固支等截面梁热弯曲问题时存在的不足之处.
The thermal bending of the tapered variable section beam fixed at two sides was discussed in this paper.Results show that under the thermal condition,the support reactions are not zero at two fixed ends of the tapered variable section beam.With the increase of wedge ratio,the moment ratio at two ends of variable section beam decreases.In other words,the moments at two ends are becoming more and more similar.When the temperature has a linear distribution along the height of the beam,any section moment on the tapered variable section beam fixed at two sides is not the same,so the bending deformation of the tapered beam will occur.Deficiencies in relevant literature on the thermal bending of uniform beam fixed at two sides were also pointed out in this paper.
The thermal bending of the tapered variable section beam fixed at two sides was discussed in this paper.Results show that under the thermal condition,the support reactions are not zero at two fixed ends of the tapered variable section beam.With the increase of wedge ratio,the moment ratio at two ends of variable section beam decreases.In other words,the moments at two ends are becoming more and more similar.When the temperature has a linear distribution along the height of the beam,any section moment on the tapered variable section beam fixed at two sides is not the same,so the bending deformation of the tapered beam will occur.Deficiencies in relevant literature on the thermal bending of uniform beam fixed at two sides were also pointed out in this paper.
引文
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[2]陈玉骥.单跨超静定梁在非线性分布温度作用下的载常数[J].力学与实践,2011,33(6):82-84.CHEN Yu-ji.Load constant of single span statically indeterminate beam on temperature effect in the nonlinear distribution[J].Mechanics in Engineering,2011,33(6):82-84.
[3]姚瑶,袁文阳.一个典型的定性结构力学命题[J].力学与实践,2010,32(6):100-102.YAO Yao,YUAN Wen-yang.A typical qualitative structural mechanics proposition[J].Mechanics in Engineering,2010,32(6):100-102.
[4]刘鸿文.材料力学(第二版,下册)[M].北京:高等教育出版社,1983.
[5]杜庆华,熊祝华,陶学文.应用固体力学基础(上册)[M].北京:高等教育出版社,1987.
[6]竹内洋一郎著.郭廷玮,李安定译.热应力[M].北京:科学出版社,1977.
[7]吴晓,杨立军,黎大志,等.温度变化对正交索网结构非线性振动的影响[J].空间结构,2009,15(2):52-67.WU Xiao,YANG Li-jun,LI Da-zhi,et al.Effect of temperature variation on the nonlinear vibration of orthogonal cable net structure[J].Spatial Structures,2009,15(2):52-67.
[8]杨立军,吴晓,孙晋.考虑温度变化的单层索网幕墙结构非线性振动[J].土木建筑与环境工程,2009,31(2):23-27.YANG Li-jun,WU Xiao,SUN Jin.Influence of temperature on the nonlinear vibration of monolayer cable net for point-supported curtain wall[J].Journal of Civil Architectural&Environmental Engineering,2009,31(2):23-27.