L形和十形截面杆的抗扭刚度
On the Torsional Rigidity for Bars with L-and +-Cross-Section
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摘要: 本文是作者前三篇论文的一个继续[1-3].利用调和函数延拓方法,L形和+形截面杆的抗扭刚度很容易求得.数值结果如表1-3所示.Abstract: This paper is a continuation of the senior author's previous papers[1-3]. using the harmonic continuation technique, the torsional rigidity for bars with L- and +-cross-section can be easily found.Numerical results are shown in Tables 1-3 respectively.
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[1] Chen Yi-zhou(陈宜周),Solutions of torsion crack problems of a rectangular bar by harmonic function continuation technique.E ngintering Fracture Mechanics.13(1980),193-212. [2] 陈宜周.带裂纹矩形截面杆抗扭刚度和第三型应力强度因子的计算方法,西北工业大学论文选(上),(1979),161-176. [3] 陈宜周,带裂纹角钢形截面杆抗扭刚度和第三型应力强度因子的计算,固体力学学报,2,(1980),110-116. [4] 陈宜亨,论Laplace方程Dirichlet问题的一个有限元模式(待发表)(1980). [5] Sikolnikoff,I.S Mathemotical Theory of Elasticity,(1956). [6] Budak,B.Y.,SamarskⅡ.A,A.and Tikhonov.A.N.,A Collocation of Problems on lLiathernatical Physics,Pergamon Press,(1964). [7] 吴新谋,《数学物理方程》,2(1958).177. [8] 钱伟长等,《弹性柱体的扭转理论》,科学出版社,(1958). -
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