摘要
由于膜盘联轴器壁厚极薄,工作时变形较大,非线性较明显,运用小变形条件下的弹性力学方法求解应力应变会有较大误差.考虑到联轴器纯扭转的轴对称性及膜盘轮缘轮毂厚度远较盘面厚度大等特点,可假设膜盘轮缘与轮毂完全刚性,膜盘盘面圆半径变形前后不变并运用其他通用的力学假设,就可对大变形纯扭转条件下膜盘联轴器的应力应变进行分析求解,得出任意膜盘型面应力应变的分析解.对双曲线型、梯型及等厚度型三种典型的膜盘型面的计算结果表明:双曲线型面是膜盘抗扭的理想型面,其应力分布完全均匀,无应力集中现象.对双曲线理想型面的偏离越大,膜盘应力越向内缘集中,变形加大.这为膜盘联轴器的设计提供了重要的理论依据.
As the diaphragm coupling＇ s work depends extremely on thin disk, large deformation and non- linearity make great error inevitable if applying traditional elastic mechanics based on tiny deformation to calcu- late the stress and＇strain. Considering such characteristics as axial syrmnetry under pure torsion and the thickness of either rim or hub being much larger than that of diaphragm disk, it is reasonable to suppose the rim and the hub are completely rigid and the radius of a circle in the diaphragm disk remains unchangeable after deformation. With these and other usual hypothesis, the stress and strain of diaphragm coupling under pure torsion and large deformation were analyzed, and an analytic solution was obtained for arbitrary diaphragm thickness type. Ap- plying the solution to calculate the stresses of three typical diaphragm models with hyperbolic, trapezoidal and uniform thickness type respectively, the results show that the hyperbolic diaphragm is the ideal model for pure torsion with completely uniform stress, and that the more deviation from hyperbolic thickness type, the more stress concentration arises near the hub, and the larger the deformation. Thus this paper provides an important theoretical foundation for diaphragm coupling design.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第12期32-36,共5页
Journal of Hunan University:Natural Sciences
关键词
扭转
应力
应变
膜盘联轴器
torsion
stress
strain
diaphragm coupling
