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<p>This paper investigates the influence of mechanical coupling terms—specifically bend–twist and bend–extension—on the natural frequencies and mode shapes of composite plates with highly complex geometries, including paisley-perforated and star-shaped plates, which have not been previously studied in the literature. The isogeometric method is employed to efficiently model these intricate shapes, demonstrating its validity over conventional finite element method simulations in ABAQUS. A key novelty of this work lies in the first-time analysis of paisley-shaped plates with cutouts, establishing them as a new benchmark for future research on geometrically complex composite structures. Additionally, this study provides a detailed exploration of mechanical coupling effects in both symmetric and antisymmetric laminates, isolating stiffness terms to precisely evaluate their impact on vibrational behavior. Through extensive parametric studies, the role of anisotropy ratio (E₁/E₂) in altering dynamic responses is systematically examined, offering critical insights for the design of advanced composite systems.</p>

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Mechanical coupling effects on free vibration of laminated plates with complex shapes and cutouts: an isogeometric analysis

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Hesam Hasani,
  • Hassan Assaee,
  • Farhad Abad

摘要

This paper investigates the influence of mechanical coupling terms—specifically bend–twist and bend–extension—on the natural frequencies and mode shapes of composite plates with highly complex geometries, including paisley-perforated and star-shaped plates, which have not been previously studied in the literature. The isogeometric method is employed to efficiently model these intricate shapes, demonstrating its validity over conventional finite element method simulations in ABAQUS. A key novelty of this work lies in the first-time analysis of paisley-shaped plates with cutouts, establishing them as a new benchmark for future research on geometrically complex composite structures. Additionally, this study provides a detailed exploration of mechanical coupling effects in both symmetric and antisymmetric laminates, isolating stiffness terms to precisely evaluate their impact on vibrational behavior. Through extensive parametric studies, the role of anisotropy ratio (E₁/E₂) in altering dynamic responses is systematically examined, offering critical insights for the design of advanced composite systems.