２輪でモデル化された複数車両が連結するローラーコースターの３次元軌道上での運動と振動

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  • Motion and Vibration of a Roller Coaster Consisting of Multi-Vehicles Modelled by Two Wheels on 3D Trajectory

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The motion and vibration for multi-vehicles of a roller coaster which move on the complicated three-dimensional trajectories are investigated. A roller coaster is treated with here as a concrete example of moving body. By using differential algebraic equations (DAE), the simulation method for moving bodies on 3D trajectory is proposed in this paper. In the previous papers, the simulation method using s-u-z coordinate for a single vehicle has been shown, and a roller coaster has been modeled as a one-wheel vehicle. In this paper, it is modeled as a two-wheel vehicle. In addition, the simulation method for multi-vehicles of a roller coaster is proposed. In order to solve the instability of the simulation analysis, the stabilization method proposed by Baumgarte is adopted. When all of connecting points are taken into consideration as constraint conditions, it is found to be too severe, and some play is necessary at connecting points for practical applications to an actual roller coaster. Lastly, the validity of the proposed simulation method is examined by comparing with the experiment and the simulation results using the one-wheel vehicle model reported in the previous paper.

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