摘要
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.
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 correspending 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 cironnferential direction, thus the unsymmetrical bending affects the material＇s fatigue significantly.
出处
《应用数学和力学》
CSCD
北大核心
2008年第12期1495-1501,共7页
Applied Mathematics and Mechanics
关键词
膜盘
弯曲
应力
变形
diaphragm coupling
bending
stress
deformation
