Step-size control device and method for multi-stage clutch damper models

High-Speed Analysis of Multi-Stage Clutch Dampers via Arc-Length Continuation Step Size Optimization

This technology is a step-size control device and method for analyzing input/output torque in clutch models consisting of a flywheel and a multi-stage clutch damper. It establishes a Galerkin-based formulation and then computes solutions by adjusting the step size of a predictor-corrector arc-length continuation method.

Multi-stage clutch dampers are highly nonlinear systems exhibiting asymmetric hysteresis at multiple positions, making response analysis via the harmonic balance method challenging. In arc-length continuation simulations, improper step sizes often lead to excessive computation steps, increased analysis time, or failure of the solution to converge.

This technology determines the correction displacement angle through Newton-Raphson correction and iteration limit assessment during initial solution calculation. In subsequent steps, it resets the arc length if iterations exceed the limit, tracking the solution until the normalized frequency reaches the target value. Applicable to CAE software for automotive manual transmission clutch design, it enables fast and accurate calculation of flywheel angular velocity responses while reducing recalculations caused by convergence failure.

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Key Features:

• An input unit for receiving initial and boundary conditions for analyzing the input-to-output torque characteristics of a multi-stage clutch damper, and a storage unit for storing control programs.
• A formulation generation unit that creates a basic formula consisting of matrices and vectors based on the Galerkin method using the input initial conditions.
• An initial solution calculation unit that determines the correction displacement angle and the angular velocity at that point from the initial flywheel predicted displacement angle for applying the arc-length continuation method.
• A (k+1)-th solution calculation unit that computes the solution for each step using the parameterized arc-length continuation method and repeats the process until the normalized frequency reaches a predetermined value.

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