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<p>This paper presents an isogeometric analysis (IGA) approach based on the modified first-order shear deformation theory (m-FSDT) for static bending, free vibration and transient response of a bio-inspired helicoid laminated composite (B-iHLC) shallow shell integrated with piezoelectric surface layers (hereafter referred to as B-iHLC-Piezo shell), resting on a Pasternak foundation and accounting for initial geometrical imperfections. The shell’s core layer is constructed using helicoidal schemes inspired by biological composite structures, which enable high-impact energy absorption with remarkable efficiency and exceptional damage resistance. The surface layers consist of isotropic piezoelectric smart materials capable of actively controlling structural vibrations. The mechanical displacement field is approximated via the m-FSDT framework using Non-Uniform Rational B-Spline basis functions. Smart B-iHLC shell structures' static and dynamic responses are actively controlled using a closed-loop control process that considers the structural damping effect and is based on displacement and velocity feedback gains. The reliability and effectiveness of the proposed method are validated through numerical comparisons with existing literature. The findings from this study serve as valuable references for the design and vibration control of advanced structures in military, aerospace, marine, and related engineering fields.</p>

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Oscillation control of bio-inspired helicoid laminated composite shell integrated piezoelectric surface layer with initial geometrical imperfection

  • 期刊论文

  • 发表日期：

    2026年1月4日

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  • Tran Thi Thu Thuy,
  • Nguyen Tu Anh,
  • Dao Nhu Mai,
  • Tran Van-Ke

摘要

This paper presents an isogeometric analysis (IGA) approach based on the modified first-order shear deformation theory (m-FSDT) for static bending, free vibration and transient response of a bio-inspired helicoid laminated composite (B-iHLC) shallow shell integrated with piezoelectric surface layers (hereafter referred to as B-iHLC-Piezo shell), resting on a Pasternak foundation and accounting for initial geometrical imperfections. The shell’s core layer is constructed using helicoidal schemes inspired by biological composite structures, which enable high-impact energy absorption with remarkable efficiency and exceptional damage resistance. The surface layers consist of isotropic piezoelectric smart materials capable of actively controlling structural vibrations. The mechanical displacement field is approximated via the m-FSDT framework using Non-Uniform Rational B-Spline basis functions. Smart B-iHLC shell structures' static and dynamic responses are actively controlled using a closed-loop control process that considers the structural damping effect and is based on displacement and velocity feedback gains. The reliability and effectiveness of the proposed method are validated through numerical comparisons with existing literature. The findings from this study serve as valuable references for the design and vibration control of advanced structures in military, aerospace, marine, and related engineering fields.