膜盘联轴器非对称弯曲的一种解析解法

考虑到膜盘的内外缘的刚性远较膜面为大,并且非对称弯曲是在高速旋转运动下,而引进了中面等半径圆假设,即膜盘中面上的每个同心圆变形前后半径不变,但同心圆所在的平面各自发生了角度不同的偏转．在此基础上,通过能量变分原理,导出了相应变形的Euler方程．该方程具有首次积分,忽略一些次要项后,可得到变形的解析解．通过对双曲型面的膜盘计算表明,非对称弯曲下的八面体剪应力在径向及厚向上都变化很小,可近似认为不变,但周向上呈明显脉动变化,因此非对称弯曲对膜盘的疲劳寿命有重要影响．     

An analytic solution to asymmetrical bending problem of diaphragm coupling

Because rigidity of either hub or rim of diaphragm coupling is much greater than that of the disk, and asymmetrical bending is under the condition of high speed revolution, an assumption is made that each circle in the middle plane before deforma- tion keeps its radius unchanged after deformation, but the plane on which the circle lies has a varying deflecting angle. Based on this assumption, and according to the principle of energy variation, the corresponding Euler＇s equation can be obtained, which has the primary integral. By neglecting some subsidiary factors, an analytic solution is obtained. Applying these formulas to a hyperbolic model of diaphragm, the results show that the octahedral shear stress varies less along either radial or thickness direction, but fluctuates greatly and periodically along circumferential direction. Thus asymmetrical bending significantly affects the material＇s fatigue.