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Acta Aeronautica et Astronautica Sinica ›› 2024, Vol. 45 ›› Issue (13): 229550-229550.doi: 10.7527/S1000-6893.2023.29550

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles    

Free⁃interface component mode synthesis method for structures with local nonlinearities

Xing TAN1,2, Weiting CHEN1,2, Tao WANG3, Huan HE1,2()   

  1. 1.State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
    2.Institute of Vibration Engineering Research,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
    3.College of Emergency Management,Nanjing Tech University,Nanjing 210024,China
  • Received:2023-09-07 Revised:2023-11-05 Accepted:2023-11-20 Online:2023-11-23 Published:2023-11-22
  • Contact: Huan HE E-mail:hehuan@nuaa.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12072153);Funding for Outstanding Doctoral Dissertation in NUAA(BCXJ22-01)

Abstract:

To improve computational efficiency for general viscous damped structure with local nonlinearities, a free-interface component mode synthesis method is proposed. The whole structure is divided into substructures according to the locations of nonlinear interfaces. Then a new method of constructing residual modes, without the need to consider whether the substructures have rigid body modes, is used to reduce the order of the substructures. In the reduction process, the damping and inertia forces associated with the higher modes are neglected, leading to an approximate relationship for the nonlinear interface forces in terms of the modal displacements and velocities. Based on this relationship, the nonlinear interface forces, modal displacements, and modal velocities are incorporated as variables into the state space. Subsequently, a reduced-order model of the substructure is synthesized utilizing the interface compatibility conditions. Finally, a spring-mass system with a cubic nonlinear spring and dashpot connections and a dual-rotor system with a nonlinear inter-shaft bearing are studied to demonstrate the proposed method.

Key words: local nonlinearities, general viscous damping, component mode synthesis, free-interface, dual-rotor system

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