Method for solving the impact problem of flexible hub-beam with large overall motion

Yang Zhao; Mingxuan Xu

doi:10.1117/12.2645824

30 August 2022 Method for solving the impact problem of flexible hub-beam with large overall motion

Yang Zhao, Mingxuan Xu

Proceedings Volume 12309, International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2022); 1230925 (2022) https://doi.org/10.1117/12.2645824
Event: International Conference on Advanced Manufacturing Technology and Manufacturing System (ICAMTMS 2022), 2022, Shijiazhuang, China

Abstract

The collision dynamics of a flexible beam with a central rigid body for wide range motion is studied. The dynamic equations of the central rigid-flexible beam system before, during and after collision are established. Firstly, based on the rigid-flexible coupling dynamic theory of flexible multi-body system, the rigid-flexible coupling dynamic equation of the system without collision is established by using Hamilton minimum action principle, taking into account the transverse deformation of the flexible beam and its second-order coupling quantity. A collision dynamic solution method is proposed to solve the collision process by means of vibration mode analysis, impulse-momentum method and contact restraint method. Based on the analysis of the vibration mode function of the flexible beam, the coordinated initial collision conditions are obtained by using the impulse-momentum method to realize the motion transformation, and then the contact restraint method is used to solve the collision process, realizing the transformation and dynamic solution in three different stages. The research shows that the collision process solution method avoids the calculation inconvenience and error caused by setting contact parameters and can be easily used to calculate the collision problem of flexible multi-body system. Flexibility, large-range motion and impact effect of beam are coupled each other. Collision causes high-frequency vibration components of flexible beam in wide-range motion. The amplitude of elastic vibration increases greatly, which excites the intense conversion between system kinetic energy and potential energy. Collision behavior has a great influence on the collision process of flexible multi-body system and the global dynamic behavior after collision.

Citation Download Citation

Yang Zhao and Mingxuan Xu "Method for solving the impact problem of flexible hub-beam with large overall motion", Proc. SPIE 12309, International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2022), 1230925 (30 August 2022); https://doi.org/10.1117/12.2645824

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Motion models

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Ordinary differential equations

Dynamical systems

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