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单根阻尼多楔带传动系统建模及其数值求解

Dynamic Model and Numerical Methods of Nerpentine Belt Drive Systems with Multi-ribbed Belt Damping
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摘要 单根多楔带驱动附属设备被广泛应用到汽车工业中。考虑多楔带的阻尼特性,及带在带轮上的蠕变造成带段的伸缩对带中张力的影响,建立了n带轮单根多楔带传动系统旋转运动模型,采用Gear反向数值求解法对该模型进行数值求解;对于稳态模型,采用牛顿-拉夫森迭代法对非线性方程进行求解。算例结果表明采用Gear反向数值求解法所得结果,与采用4-5阶龙格-库塔数值解法所得结果相同,但前者计算速度远高于后者。文中建立的多楔带传动系统旋转运动模型和数值求解方法,为带传动系统的研究提供了理论依据,也为非线性方程的求解提供了参考。 Serpentine belt drives with multi-ribbed belt are commonly used in the automotive industry. In this paper, a rotational motion model for n-pulley serpentine belt drive systems was developed in which the multiribbed belt damping and the effect of the belt deflection along contact arc of the pulley on the tension were considered. The rotational motion model was solved numerically by the forward Gear method is some with the nonlinear equilibrium model was solved by Newton-Raphson iteration method. It is shown that the forward Gear method was faster than the fourth/fifth order Runge-Kutta integration method.The rotational motion model of the n-pulley serpentine belt drive system and the numerical methods solving the model presented in this paper were useful for the design of the belt drive system.
作者 王红云 刘兰
出处 《广东技术师范学院学报》 2009年第6期7-11,共5页 Journal of Guangdong Polytechnic Normal University
关键词 多楔带传动 数学模型 数值方法 serpentine belt drive system model numerical method
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