Location: Home >> Dynamic Modeling of Multi-body Systems: A Numerical Study on Crank-slider Mechanism
This paper aims to build a dynamical model on a crank-slider system under constant rotation and acquire numerical results with high accuracy and stability. The equations of motion are formulated for the system, while order reduction, the Baumgarte stabilization method, and Heun’s method are integrated for our numerical solution strategy. A parameter sweep is conducted for optimal stabilization parameter choice that minimizes constraint violation. We thereby propose a closed-loop system that iteratively updates the system’s generalized coordinates and external torque with feedback from current violation. Numerical error is shown to be suppressed well in the stability analysis. The resulting generalized coordinates and external torque exhibit smooth periodic oscillation that fits well with theoretical prediction, with peak external torque increasing with the required rotational speed.
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Zanyu Jiang. Dynamic Modeling of Multi-body Systems: A Numerical Study on Crank-slider Mechanism. OAJRC Applied Physics, 2025, 7(1), 1-10.
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