Abstract
Drivetrain models play an important role in state-of-the-art automotive drivetrain and control concept development. Based on a proposed set of elementary drivetrain components, this article contributes a generic straightforward approach to compute state-space models for various geared drivetrain layouts, including complex hybrid multi-mode transmissions. The modular approach follows Lagrange formalism: The free motion of rigid shafts is subsequently constrained, considering connecting elements like spur and planetary gear sets. The generalized coordinates are determined by a coordinate partitioning method, ensuring a physically reasonable coordinate system. The proposed approach features high potential for automation. This enables drivetrain modeling by non-experts in the field of mechanical engineering.
Highlights
Drivetrain models gained huge importance in drivetrain development over the last decades
In combination with spur gear sets this enables modeling of arbitrary combined planetary gear sets, which play an important role in the construction of automatic transmissions (AT) and multi-mode transmissions (MMT)
In order to constrain the equations of free motion in (1) according to (3), Lagrange formalism introduces the transformation to generalized coordinates q: x = Jxq
Summary
Drivetrain models gained huge importance in drivetrain development over the last decades. This paper follows the general approach of energybased modeling taking special advantages of drivetrain peculiarity, namely linearity of the algebraic constraints, due to spur and planetary gear sets. It targets the systematic computation of state-space models, i.e. an ODE system, for geared drivetrains. The second step considers the interaction between the single shafts, resulting in the so called equations of constrained motion and in a state-space model. In this second step a systematic determination of a set of generalized coordinates, by utilization of the degrees of.
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