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International Journal of Automotive Technology 2007;8(6): 731-744. |
| DYNAMIC ANALYSIS AND DESIGN CALCULATION METHODS FOR POWERTRAIN MOUNTING SYSTEMS |
| W.-B. SHANGGUAN1, Y. ZHAO2 |
1South China University of Technology
2Tsinghua University |
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| ABSTRACT |
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A method for dynamic analysis and design calculation of a Powertrain Mounting System (PMS) including Hydraulic Engine Mounts (HEM) is developed with the aim of controlling powertrain motion and reducing low-frequency vibration in pitch and bounce modes. Here the pitch mode of the powertrain is defined as a mode rotating around the crankshaft of an engine for transversely mounted powertrain. The powertrain is modeled as a rigid body connected to a rigid ground by rubber mounts and/or HEMs. A mount is simplified as three-dimensional spring and damping elements in its Local Coordinate System (LCS). The relation between force and displacement of each mount in its LCS is usually nonlinear and is simplified as piecewise linear in five ranges in this paper. An equation for estimating displacements of the powertrain center of gravity (C.G.) under static or quasi-static load is developed using Newton’s second law and an iterative algorithm is presented to obtain the displacements. Also an equation for analyzing the dynamic response of the powertrain under ground and engine shake excitations is derived using Newton’s second law. Formulae for calculating reaction forces and displacements at each mount are presented. A generic PMS with four rubber mounts or two rubber mounts and two HEMs is used to validate the dynamic analysis and design calculation methods. Calculated displacements of the powertrain C.G. under static or quasi-static loads show that a powertrain motion can meet the displacement limits by properly selecting stiffness and coordinates of the tuning points of each mount in its LCS using the calculation methods developed in this paper. Simulation results of the dynamic responses of a powertrain C.G. and the reaction forces at mounts demonstrate that resonance peaks can be reduced effectively with HEMs designed on the basis of the proposed methods. |
| Key Words:
Automotive powertrain mounting systems, Hydraulic engine mounts, Motion and vibration control of a powertrain, Analysis and calculation methods |
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