含n个圆孔的圆柱体的扭转
Torsion of Circular Cylinders Containing n Circular Holes
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摘要: 对此问题本文应用线弹性理论复变函数方法,籍助于解析延展,找到了用级数表示的复扭曲函数、切应力分量、位移分量、抗扭刚度及边界上的切应力.Abstract: In the present paper by using complex variable methods in linear elasticity and by-means of analytic continuation, the author obtains for this problem a complex torsional function, shear stress components, displacement components,the lorsional rigidity and shear stresses on boundaries expressed in terms of series.
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[1] MacDonald,H.M.,On the torsional strength of a holiow shaft,Proc.Cambridge Philos.Soc.,8(1893),62-68. [2] Bartels,R.C.F.,Torsion of hollow cylinders,Transaction of the American Math.,53,2(1943),1-13. [3] Weinel,E.,Das Torsionsproblem für den exzentrischen Kreisring,Ingenieur Archiv.,Bd,Ⅲ,(1932),H.I.S.,67-75. [4] Рухадзе А.К.иИ.Н.,Векуа,Задача кручеНия кругоВого дилиадра,армиро [5] ванного продольныиго круговюм,стержнем,Изб.АН СССР,3(1933),373-386. [6] Мусхелишвили Н.И.,Некоморные Основные Забачц Мамежамцческоц Теорцц Упруюсмц,Изд.АН СССР(1954). [7] 尹昌言,有穿透裂纹的圆柱体扭转应力及应力强度因子,固体力学学报.3 (1982),393-405. [8] Динник А.Н.,Проболъный Изюб,Крученые,Изд.АН СССР(1955). -
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