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The non-linear theory of elastic thin-walled bars of open cross-sections proposed by the auther is applied to the study of large torsion of such bars. The fundamental equations are simplified for the case of bisymmetrical ane central symmetrical cross-sections. For non-symmetrical cross-sections, it is generally impossible to obtain pure torsion without bending in the non-linear theory. The problem is solved by a perturbation method. Two specific examples are considered.
[1]胡海昌,顾及二级小量的开口截面弹性薄壁杆件的实用理论,物理学报,12 (1956),127-138
[2] 符拉索夫,材料力学,工程力学和弹性力学的若干问题,中国科学院出版,1954年
[4] Campbell,A, On vibration galvanometers with unifilar torsional control , Proc. Phys. Soc., London, 25( 1913),203—205
[5] Buckley, J.C, Bifilar property of twisted strips, Phil. Mag. 28 (1914) 778-787.
[6] Cullimore,M.S.G, The shortening effect: a nonlinear feature of pure torsion Research Engineering structure supplement (1949). 153—164
[7] 胡海昌,在均布及中心集中载荷作用下的大尺度问题,物理学报,10 (1954), 383-392 -
[1]胡海昌,顾及二级小量的开口截面弹性薄壁杆件的实用理论,物理学报,12 (1956),127-138
[2] 符拉索夫,材料力学,工程力学和弹性力学的若干问题,中国科学院出版,1954年
[4] Campbell,A, On vibration galvanometers with unifilar torsional control , Proc. Phys. Soc., London, 25( 1913),203—205
[5] Buckley, J.C, Bifilar property of twisted strips, Phil. Mag. 28 (1914) 778-787.
[6] Cullimore,M.S.G, The shortening effect: a nonlinear feature of pure torsion Research Engineering structure supplement (1949). 153—164
[7] 胡海昌,在均布及中心集中载荷作用下的大尺度问题,物理学报,10 (1954), 383-392
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