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Modelling of a 12-DoF Parachute–Riser–Payload system dynamics using Kane’s method

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Abstract

The dynamic behaviour of parachutes is highly complex and characterised by non-linear, time-dependant, Fluid–Structure Interactions, which is computationally intensive and hence not a viable option for incorporating into trajectory simulations. The paper describes modelling of a “Computationally efficient, High Fidelity Multi-Body” Parachute–Elastic Riser–Payload system, capable of simulating trajectory from parachute deployment to parachute separation. The matrix form of Kane’s method is used to derive the kinematic and dynamic equations of motion for the system, which avoids the complications of symbolically deriving these equations. The developed model is validated with published literature results formulated using the Newton–Euler method and simulation results describing the typical trajectory and attitude of the system during the descent phase are presented.

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The author (Iyer, Prashant G) confirms sole responsibility for the following: development of theoretical formalism, numerical modelling of system, simulations and validation of model and formalism, analysis and interpretation of results, and manuscript preparation.

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Correspondence to Prashant G. Iyer.

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Iyer, P.G. Modelling of a 12-DoF Parachute–Riser–Payload system dynamics using Kane’s method. Multibody Syst Dyn 60, 599–619 (2024). https://doi.org/10.1007/s11044-023-09939-z

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