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首页> 外文期刊>Composite Structures >Derivation of circumferential guided waves equations for a multilayered laminate composite hollow cylinder by state-vector and Legendre polynomial hybrid formalism
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Derivation of circumferential guided waves equations for a multilayered laminate composite hollow cylinder by state-vector and Legendre polynomial hybrid formalism

机译：通过状态矢量和Legendre多项式混合形式的多层层压复合空心圆柱的周向引导方程的推导

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摘要

A new spectral method based on the hybrid formula system of the state-vector and Legendre polynomials are used to derive the explicit expressions of circumferential guided waves in the anisotropic multilayer composite cylinders with an arbitrary lay-up. In this hybrid method, the state vector was utilized to transform the wave equation, boundary conditions, and interface continuous conditions in the cylinder coordinate system to form the dispersion equation in terms of the state matrix. Then, following the principle of the Galerkin method, projecting the dispersion state matrix equations onto the weight functions consisting of Legendre polynomials, the system of algebraic equation is obtained. The dispersion curves and mode shape can be obtained by solving the eigenvalues and eigenvectors of the system of algebraic equations. This hybrid method uses the orthogonal and recursive properties of the Legendre polynomial to simplify the integral expressions involved in all the matrices and yields the closed-form solutions. Numerical verification, including the cases of isotropic and anisotropic viscoelastic/elastic multilayer cylinders, was conducted to evaluate the performance of the proposed method. The results show that the proposed method overcomes the cumbersome of the traditional Legendre polynomial method to treat the interface displacement and stress continuity. The results also confirm that the hybrid method has the exponential convergence.
机译：基于状态矢量和纵梁多项式的混合式系统的新光谱法用于导出具有任意叠层的各向异性多层复合汽缸中的周向引导波的明确表达。在该混合方法中，利用状态矢量来改变波动坐标系中的波动方程，边界条件和接口连续条件，以在状态矩阵方面形成色散方程。然后，在Galerkin方法的原理之后，将分散状态矩阵方程突出到由Legendre多项式组成的重量函数上，获得代数方程的系统。通过求解代数方程的系统的特征值和特征向量，可以获得分散曲线和模式形状。该混合方法使用Legendre多项式的正交和递归特性来简化所有矩阵中涉及的积分表达，并产生闭合溶液。进行了数值验证，包括各向同性和各向异性粘弹性/弹性多层汽缸的病例，以评估所提出的方法的性能。结果表明，该方法克服了传统的传统多项式方法的麻烦，以治疗界面位移和应力连续性。结果还证实，混合方法具有指数趋同。

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  • 来源
    《Composite Structures》 |2021年第1期|112950.1-112950.20|共20页
  • 作者

    Zheng Mingfang; Ma Hongwei; Lyu Yan; Lu Chao; He Cunfu;

  • 作者单位

    Dongguan Univ Technol Sch Environm & Civil Engn Dongguan 523808 Peoples R China|Xi An Jiao Tong Univ Sch Aerosp Engn State Key Lab Strength & Vibrat Mech Struct Xian 710049 Peoples R China;

    Dongguan Univ Technol Sch Environm & Civil Engn Dongguan 523808 Peoples R China|Qinghai Univ Sch Civil Engn Xining 810016 Peoples R China;

    Beijing Univ Technol Coll Mech Engn & Appl Elect Technol Beijing 100124 Peoples R China;

    Nanchang Hangkong Univ Key Lab Nondestruct Testing Minist Educ Nanchang 330063 Jiangxi Peoples R China;

    Beijing Univ Technol Coll Mech Engn & Appl Elect Technol Beijing 100124 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Anisotropic laminate hollow cylinder; Circumferential guided waves; Dispersion curve; State vector; Legendre polynomial;

    机译：各向异性层压空心空心圆柱;圆周引导波;色散曲线;状态矢量;Legendre多项式;

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