Mathematical modeling of magneto-rheological damper has been an intriguing field of research ever since the invention of the device itself. An accurate magneto-rheological damper model results in development of an efficient current controller in a semi-active seat suspension system featuring magneto-rheological damper. Hence, a number of models have been put forward to accurately predict the magneto-rheological damper behavior. This paper presents another mathematical model for magneto-rheological dampers based on their equivalent damping. A commercially available magneto-rheological damper has been used for characterization in this study. The magneto-rheological damper behavior is characterized using two models, Bingham model and equivalent damping model. These models are then used to simulate the magneto-rheological damper in a quarter car model with four degree of freedom featuring semi-active seat suspension that is subjected to bump road input and random road input. The magneto-rheological damper model is supplied with current using two control logics, on–off Skyhook logic and Proportional Integral and Differential logic. The performance of the two models are compared based on driver mass response in each case of seat suspension model and computation time. The results show that equivalent damping model can represent the magneto-rheological damper behavior with sufficient accuracy while reducing computational time by 30% irrespective of type of road input or type of control logic implemented. The reduced computational time is an added advantage when magneto-rheological damper is used in real-time.

自从设备本身发明以来，磁流变阻尼器的数学建模一直是一个有趣的研究领域。精确的磁流变阻尼器模型可在具有磁流变阻尼器的半主动式座椅悬架系统中开发出高效的电流控制器。因此，提出了许多模型来精确预测磁流变阻尼器的性能。本文基于等效阻尼，提出了磁流变阻尼器的另一个数学模型。在这项研究中，使用了市售的磁流变阻尼器进行表征。磁流变阻尼器的行为采用宾汉模型和等效阻尼模型两个模型来表征。然后，这些模型用于在四自由度四分之一汽车模型中模拟磁流变阻尼器，该模型具有半主动式座椅悬架，该悬架受到颠簸道路输入和随机道路输入的影响。磁流变阻尼器模型使用两个控制逻辑（开-关Skyhook逻辑和比例积分与微分逻辑）提供电流。在每种情况下，根据驾驶员的质量响应和计算时间，比较两个模型的性能。结果表明，等效的阻尼模型可以足够精确地表示磁流变阻尼器的行为，而与道路输入类型或控制逻辑类型无关，可以将计算时间减少30％。