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<p>This paper presents an explicit topology optimization method based on the equivalent static load (ESL) method for nonlinear topology optimization of thin-walled stiffened structures under impact loading. This method defines stiffeners as moving morphable components within a Lagrangian geometric framework. By parametrizing geometric characteristics (including reinforcement positions, profiles, and sizes), it enables simultaneous optimization of both topology configurations and geometric layouts. For nonlinear dynamic optimization under impact loads, the ESL method is integrated into the explicit topology optimization framework. Through load equivalence transformation strategy, the complex nonlinear dynamic optimization problem is converted into a series of linear static subproblems, which significantly reduces computational complexity for the design of thin-walled stiffened structures under nonlinear conditions. The proposed method yields optimized design with guaranteed structural dynamic performance with enhanced optimization efficiency. Several numerical examples are presented to demonstrate its effectiveness and engineering applicability.</p>

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ESL-Based MMC Topology Optimization of Thin-Walled Stiffened Structures Under Transient Impact Loading

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Zizhen Guo,
  • Gang Chen,
  • Ang Li,
  • Xue Bai,
  • Weisheng Zhang

摘要

This paper presents an explicit topology optimization method based on the equivalent static load (ESL) method for nonlinear topology optimization of thin-walled stiffened structures under impact loading. This method defines stiffeners as moving morphable components within a Lagrangian geometric framework. By parametrizing geometric characteristics (including reinforcement positions, profiles, and sizes), it enables simultaneous optimization of both topology configurations and geometric layouts. For nonlinear dynamic optimization under impact loads, the ESL method is integrated into the explicit topology optimization framework. Through load equivalence transformation strategy, the complex nonlinear dynamic optimization problem is converted into a series of linear static subproblems, which significantly reduces computational complexity for the design of thin-walled stiffened structures under nonlinear conditions. The proposed method yields optimized design with guaranteed structural dynamic performance with enhanced optimization efficiency. Several numerical examples are presented to demonstrate its effectiveness and engineering applicability.