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<p>In flexible multibody dynamics simulations based on the Absolute Nodal Coordinate Formulation (ANCF), the high-dimensional nature of the system equations results in prohibitively high computational costs. Furthermore, while triangular shell elements are widely adopted in ANCF, their dense nodal discretization inherently constrains computational efficiency, thereby necessitating efficient model order reduction techniques. The free-interface POD Component Mode Synthesis (P-CMS) method is proposed to address dynamic simulation challenges in flexible systems modeled with triangular shell elements. The methodology is structured as follows: First, the flexible system is modeled using ANCF triangular shell elements. The integrated complex structure is divided into multiple substructures, and the linear basis for each substructure is derived via the Proper Orthogonal Decomposition (POD). By employing the principles of free-interface Component Mode Synthesis (CMS), the substructure-specific linear bases are assembled into a global reduced-order model based on interface compatibility conditions. This strategy circumvents the iterative local linearization inherent in conventional CMS-based approaches, thereby enabling modular analysis and order reduction of complex systems. Finally, three numerical case studies validate the accuracy and computational efficiency of P-CMS.</p>

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Dynamics model order reduction method of flexible body based on free interface POD component mode synthesis

  • 期刊论文

  • 发表日期：

    2025年12月3日

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  • Weifan Zhang,
  • Yizhong Wu

摘要

In flexible multibody dynamics simulations based on the Absolute Nodal Coordinate Formulation (ANCF), the high-dimensional nature of the system equations results in prohibitively high computational costs. Furthermore, while triangular shell elements are widely adopted in ANCF, their dense nodal discretization inherently constrains computational efficiency, thereby necessitating efficient model order reduction techniques. The free-interface POD Component Mode Synthesis (P-CMS) method is proposed to address dynamic simulation challenges in flexible systems modeled with triangular shell elements. The methodology is structured as follows: First, the flexible system is modeled using ANCF triangular shell elements. The integrated complex structure is divided into multiple substructures, and the linear basis for each substructure is derived via the Proper Orthogonal Decomposition (POD). By employing the principles of free-interface Component Mode Synthesis (CMS), the substructure-specific linear bases are assembled into a global reduced-order model based on interface compatibility conditions. This strategy circumvents the iterative local linearization inherent in conventional CMS-based approaches, thereby enabling modular analysis and order reduction of complex systems. Finally, three numerical case studies validate the accuracy and computational efficiency of P-CMS.