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A unified prediction solution for vibro-acoustic analysis of composite laminated elliptical shells immersed in air

一种对空气中复合材料层合椭圆壳声振分析的统一预测方法

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Abstract

A semi-analytical method to conduct vibro-acoustic analysis of a composite laminated elliptical shell immersed in air is proposed. A variational method and multi-segment technique are used to formulate the dynamic model. The sound radiation of the exterior fluid field is calculated by a spectral Kirchhoff-Helmholtz integral formulation. The variables containing displacements and sound pressure are expanded by the combination of Fourier series and Chebyshev orthogonal polynomials. The collocation points are introduced to construct an algebraic system of acoustic integral equations, where these points are distributed on the roots of Chebyshev polynomials, and the non-uniqueness solution of system is eliminated by a combined Helmholtz integral. Numerical examples for sound radiation problems of composite laminated elliptical shells are presented and individual contributions of the circumferential modes to the acoustical results of composite laminated elliptical shells are also given. The effects of geometric and material parameters on sound radiation of composite laminated elliptical shells are also investigated.

摘要

提出了一种半解析法对空气中的复合材料层合椭圆壳进行振动声分析. 采用变分法和分段技术建立动力学模型. 采用基尔霍夫-亥姆霍兹积分公式计算了外部流场的声辐射. 用傅立叶级数和切比雪夫正交多项式组合展开了包含位移和声压的变量. 引入配置点构造声积分方程代数系统, 这些点分布在切比雪夫多项式的根上, 并用组合亥姆霍兹积分消除系统的非唯一解. 给出了复合材料层合椭圆壳声辐射问题的数值算例, 并给出了周向模态对复合材料层合椭圆壳声学结果的影响. 研究了几何参数和材料参数对复合材料层合椭圆壳声辐射的影响.

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Authors and Affiliations

  1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China

    Xian-lei Guan  (关先磊), Rui Zhong  (钟锐), Bin Qin  (秦斌), Qing-shan Wang  (王青山) & Ci-jun Shuai  (帅词俊)

  2. Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha, 410075, China

    Bin Qin  (秦斌)

  3. National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha, 410075, China

    Bin Qin  (秦斌)

  4. Institute of Bioadditive Manufacturing, Jiangxi University of Science and Technology, Nanchang, 330013, China

    Ci-jun Shuai  (帅词俊)

Authors
  1. Xian-lei Guan  (关先磊)
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  2. Rui Zhong  (钟锐)
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  3. Bin Qin  (秦斌)
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  4. Qing-shan Wang  (王青山)
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  5. Ci-jun Shuai  (帅词俊)
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Contributions

GUAN Xian-lei is responsible for writing original draft, reviewing, editing and formal analysis; ZHONG Rui is in charge of software, data and curation; QIN Bin takes part in the writing (reviewing and editing) and methodology; WANG Qing-shan plays the role of validation and writing (reviewing and editing) and SHUAI Ci-jun participates in the writing (reviewing and editing).

Corresponding author

Correspondence to Bin Qin  (秦斌).

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The authors declare that they have no conflicts of interests.

Additional information

Foundation item: Project(51705537) supported by the National Natural Science Foundation of China; Project(2018JJ3661) supported by the Natural Science Foundation of Hunan Province of China; Project(ZZYJKT2018-11) supported by State Key Laboratory of High Performance Complex Manufacturing, China

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Guan, Xl., Zhong, R., Qin, B. et al. A unified prediction solution for vibro-acoustic analysis of composite laminated elliptical shells immersed in air. J. Cent. South Univ. 28, 429–444 (2021). https://doi.org/10.1007/s11771-021-4613-1

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  • DOI: https://doi.org/10.1007/s11771-021-4613-1

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