Level Set Based Topology Optimization of A Flexible Multibody Dynamic System Described by ANCF

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  • Sun Jialiang
    State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics
  • Tian Qiang
    MOE Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering Beijing Institute of Technology
  • Hu Haiyan
    State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics MOE Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering Beijing Institute of Technology

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<p>A topology optimization methodology is proposed for the flexible multibody system undergoing both large overall motion and large deformation. The system of concern is modeled via the absolute nodal coordinate formulation (ANCF). The equivalent static load (ESL) method is employed to transform the topology optimization of nonlinear dynamic response into a static one, and evaluated to adapt to the ANCF by splitting the elastic deformations of the flexible components from the overall motions of those components. During the static topology optimization, the material interface is implicitly described as the zero level set of a higher-dimensional scalar function. Then, the semi-implicit level set method (LSM) with the additive operator splitting (AOS) algorithm is employed to solve the corresponding Hamilton-Jacobi partial differential equation (PDE). In addition, the expert evaluation method of weights based on the Grey theory is utilized to define the objective function. Finally, two numerical examples are provided to validate the proposed methodology.</p>

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