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A nonlinear analytical formula for forced vibration analysis of the hard-coating cylindrical shell based on the strain energy density principle

机译：基于应变能密度原理的硬涂层圆柱壳强迫振动分析的非线性解析公式

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摘要

In this paper, a nonlinear analytical formulation of the forced vibration of the hard-coating cylindrical shell is developed to investigate the nonlinear resonant characteristics of the shell. The strain dependence of hard coating and the elastic constraint with continuous variable stiffness are considered in the formulation. In order to fully introduce the effects of the strain dependence of hard coating on the resonant characteristics with base excitation, a novel analytical method is presented to determine the equivalent strain of hard coating according to the principle of equal strain energy density. The nonlinear governing equations of motion and the admissible displacement function are derived based on the Love's first approximation theory and the Gram-Schmidt orthogonalization process. A unified Newton-Raphson iterative solution method is employed to solve the nonlinear resonant frequency and response of the shell. As an example to demonstrate the feasibility of the developed analytical model, the forced vibration of the cylindrical shell coated with NiCoCrAlY + YSZ hard coating is implemented numerically and experimentally. Moreover, the influences of the storage modulus, loss modulus and thickness of hard coating on the forced vibration characteristics of the hard-coating cylindrical shell are analyzed in detail. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译：本文研究了硬涂层圆柱壳强迫振动的非线性解析公式，以研究壳的非线性共振特性。在配方中考虑了硬涂层的应变依赖性和具有连续可变刚度的弹性约束。为了充分介绍基层激励下硬质涂层的应变相关性对共振特性的影响，提出了一种根据等应变能密度原理确定硬质涂层等效应变的新颖分析方法。基于Love的一阶近似理论和Gram-Schmidt正交化过程，得出了非线性的运动控制方程和容许的位移函数。采用统一的牛顿-拉夫森迭代解法求解壳体的非线性共振频率和响应。为了说明开发分析模型的可行性，通过数值和实验方法对涂有NiCoCrAlY + YSZ硬涂层的圆柱壳的强迫振动进行了模拟。此外，详细分析了硬涂层的储能模量，损耗模量和厚度对硬涂层圆柱壳强迫振动特性的影响。 （C）2019 Elsevier Masson SAS。版权所有。

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  • 来源
    《Aerospace science and technology》 |2019年第9期|326-336|共11页
  • 作者

    Zhang Yue; Yang Jian; Sun Wei; Song Hua;

  • 作者单位

    Univ Sci & Technol Liaoning, Sch Mech Engn & Automat, Anshan 114051, Peoples R China|Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China;

    Univ Sci & Technol Liaoning, Sch Mech Engn & Automat, Anshan 114051, Peoples R China;

    Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China;

    Univ Sci & Technol Liaoning, Sch Mech Engn & Automat, Anshan 114051, 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

    Nonlinear; Analytical; Hard coating; Cylindrical shell; Forced vibration;

    机译：非线性;分析;硬涂层;圆柱形壳;强制振动;

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