An extensible mathmatical model for the torque transmission property of multi-staged stiffness clutch dampers considering hysteresis characteristics was established in virtue of the hyperbolic-tangent fitting function,which was then validated by the bench tests of a certain prototype.The hyperbolic-tangent functions with different smoothing factors were applied to the profile fitting of step function and piecewise linear function.Then,a discontinuous and non-differential numerical model for the two-staged and three-staged stiffness clutch dampers with asymmetric characteristics, taking into account the hysteresis characteristics,was derived.The numerical model was further modified by using the hyperbolic-tangent function and extended to multi-staged stiffness clutch dampers.Finally,the modified model for the multi-staged stiffness clutch dampers fitting was validated by bench tests of the prototype.%利用双曲正切拟合函数,建立了可推广的考虑迟滞特性的多级刚度扭转减振器扭矩传递特性数学模型,并通过了试制的多级刚度扭转减振器特性台架试验验证。探讨了基于不同拟合因子的双曲正切函数在阶跃函数和分段线性函数拟合中的应用。针对具有非对称特性的两级和三级刚度扭转减振器,建立了考虑迟滞特性的扭转减振器扭矩传递特性的非连续、不可微分的数学模型,之后利用双曲正切拟合函数重新推导了建立的扭转减振器扭矩传递特性模型,并将结果推广至多级刚度扭转减振器。利用扭转减振器台架试验,验证了利用双曲正切函数拟合的可推广的多级刚度扭转减振器扭矩传递特性模型的有效性。
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