ZHU Ke-ke, ZHU Ru-peng. An Analytic Solution to the Unsymmetrical Bending Problem of Diaphragm Coupling[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1495-1501.
 Citation: ZHU Ke-ke, ZHU Ru-peng. An Analytic Solution to the Unsymmetrical Bending Problem of Diaphragm Coupling[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1495-1501.

# An Analytic Solution to the Unsymmetrical Bending Problem of Diaphragm Coupling

• Rev Recd Date: 2008-10-16
• Publish Date: 2008-12-15
• As the rigidity of either the hub or rim of the diaphragm coupling is much larger than that of the disk,and the unsymmetrical bending is under the condition of high speed revolution,a hypothesis was supposed that each circle in the middle plane before deformation remains its radius unchangeable after deformation but the plane on which the circle lies has a varying deflecting angle.Upon this and through the principle of energy variation,the corresponding Euler's equation,which has the primary integral,can be obtained.After some subsidiary factors were neglected,the analytic solution was achieved.Applying these formulas to a hyperbolic model of diaphragm,the results show that the octahedral shear stress varying less along either radial or thickness direction,but fluctuated greatly and periodically along circumferential direction,thus the unsymmetrical bending affects the material's fatigue significantly.
•  [1] 花家寿.新型联轴器与离合器[M].上海：上海科学技术出版社，1989. [2] 郭小明,王顺玉,龚建民. 膜盘联轴器力学性能研究与优化设计[J].东南大学学报,1993,23(6):135-138. [3] Paris F,Delevn S.Boundary element method applied to the analysis of thin plates[J].Computers and Structure,1987,25(2):225-233. [4] 郭毅，王桂芳.圆形弹性薄板非轴对称大挠度问题的一个解法[J].应用数学和力学，1998，19(9):837-845. [5] 欧斐君，梁建华.变分法及其应用[M].西安:陕西科学技术出版社，1987. [6] 薛大为.板壳理论[M].北京:北京工业学院出版社,1988.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142