弹性圆杆扭转的二阶效应
Second-Order Effect of an Elastic Circular Shaft during Torsion
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摘要: 本文基于拖带坐标方法和S-R分解定理[1]分析了弹性圆杆扭转的二阶效应.应用渐近方法,证明了弹性圆杆扭转伸长效应的存在,并导出轴向力、扭矩的表达式.Abstract: In this paper we deal with the second-order effect of an elastic circular shaft during torsion.The analysis is based on the method of co-moving coordinates and the strain-rotation decomposition theorem[1] in continuum mechanics.By using asymptotic expansion methods,we comfirm that the effect of axial elongation and distortion of plane cross-section exists in an elastic circular shaft during large torsion and give the expressions of the axial force and the torque.
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Key words:
- torsion /
- second-order effect /
- large deformation /
- S-R decomposition theorem
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[1] 陈至达,《有理力学),中国矿业大学出版社,徐州(1986). [2] Truesdell,C.,The Elements of Continuum Mechanics,Springer-Verlag Press(1966),121-127. [3] Bell,J.F.,The experimental foundations of solid mechanics,Hanbuch der Physik,VI,721-744. [4] Swift,H.W.,Engineering(1947),163,253-257. [5] Foux,A.,Second order effects in elasticity,plasticity and fluid dynamics,ed.by M.Reiner and D.Abir,Pergamon Press(1964),228-251. [6] 德冈辰雄著,《理性连续介质力学入门》,赵镇等译,科学出版社(1982), 238-244. [7] Billington,E.W.,J.Phys.D:Appl.Phys.,9,(1976),533-552. [8] Billington,E.W.,Int.J.Solids Structures,21,4(1985),355-372. [9] Ronay,M.,Int.J.Solids Structures,4,(1968),509-516． -
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