Resonance response of clamped functionally graded cylindrical shells with initial imperfection in thermal environments

Li Wei; Hao Yu-Xin; Zhang Wei; Yang Hong

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Resonance response of clamped functionally graded cylindrical shells with initial imperfection in thermal environments

机译：热环境初始缺陷夹紧功能分级圆柱壳的共振响应

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摘要

In this paper, the resonance behavior of initial imperfect functionally graded material (FGM) cylindrical shells with the clamped-clamped boundary condition at two ends is investigated. The material properties considered here are graded in the thickness direction according to a simple power law in terms of the volume fractions and are affected by temperature. The classical deformation theory, von-Karman type nonlinear geometric relations and Hamilton's principle are employed to derive nonlinear partial differential equation of the clamped circular cylindrical shell at two ends. The partial differential governing equations are truncated by the Galerkin technique. Under the effect of transverse external excitation and in-plane force, averaged equations in term of polar coordinate are obtained by using multiple scales method. It is assumed that the dynamic system is in the case of primary resonance and 1:2 internal resonance. The effects of the volume fraction, temperature, damping, imperfection, transverse external excitation and in-plane force on amplitude frequency response of FGM cylindrical shell with initial imperfection are studied in detail by the application of numerical continuation method. With varying the tuning parameter of the excitation frequency, saddle node bifurcation, hopf bifurcation, saddle node bifurcation and hopf bifurcation are detected.

机译：在本文中，研究了初始不完美功能梯度材料（FGM）圆柱形壳的共振行为在两端具有夹紧夹紧边界条件。这里考虑的材料特性根据体积分数根据简单的电力法在厚度方向上分级，并受温度的影响。古典变形理论，von-karman型非线性几何关系和汉密尔顿原理用于在两端推导夹紧圆柱形壳的非线性偏微分方程。通过Galerkin技术截断局部差分控制方程。在横向外部激励和面内力的影响下，通过使用多个尺度方法获得极性坐标期间的平均方程。假设动态系统在初级谐振和1：2内部共振的情况下。用数值延续方法详细研究了体积分数，温度，阻尼，缺陷，横向外部激励，横向外部激励和面内频率对FGM圆柱壳的幅度频率响应。通过改变激发频率的调谐参数，检测到鞍座节点分叉，跳槽分叉，鞍座节点分叉和Hopf分岔。

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来源
《Composite Structures》 |2021年第3期|113245.1-113245.11|共11页
作者
Li Wei; Hao Yu-Xin; Zhang Wei; Yang Hong;
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作者单位

Beijing Informat Sci & Technol Univ Sch Appl Sci Beijing 100192 Peoples R China;

Beijing Informat Sci & Technol Univ Coll Mech Engn Beijing 100192 Peoples R China|Beijing Informat Sci & Technol Univ Beijing Key Lab Electromech Syst Measurement & Co Beijing 100192 Peoples R China;

Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

Beijing Informat Sci & Technol Univ Sch Appl Sci Beijing 100192 Peoples R China;

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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 dynamics; Circular cylindrical shell; Functionally graded materials; Geometric imperfection; Internal resonance;

机译：非线性动力学;圆形圆柱形外壳;功能分级材料;几何缺陷;内部共振;

Resonance response of clamped functionally graded cylindrical shells with initial imperfection in thermal environments

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