Vibration analysis of FG spinning beam using higher-order shear deformation beam theory in thermal environment

Gh. Shabanlou; S.A.A. Hosseini; M. Zamanian

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Vibration analysis of FG spinning beam using higher-order shear deformation beam theory in thermal environment

机译：FG纺丝梁热环境下高阶剪切变形梁理论振动分析

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Highlights

•Free vibration analysis of functionally graded spinning cylindrical beam is performed.

•The beam is subjected to a thermal environment.

•A new displacement field of hollow circular cylindrical spinning beam is proposed.

Abstract

By using higher-order shear deformation beam theory (HSDBT), free vibration analysis of functionally graded (FG) spinning cylindrical beam subjected to thermal environment is performed. A new displacement field for hollow circular cylindrical beam is proposed that keeps the shear stress to be free at both inner and outer surfaces of the beam. The present formulation includes all possible terms of linear equations of spinning beam such as centripetal and Coriolis forces. Material properties are assumed temperature dependent and graded in the thickness direction. To discretize the system, the Rayleigh–Ritz method, which is an efficient and accurate approximation method, is used. The convergence of the method is verified, and the results are compared with available solutions in the literature. We investigate the effects of spinning speed, temperature dependence of material properties, and material property graded index on the natural frequency parameter of the FG cylindrical beam with different boundary conditions.

机译：

突出显示

• 对功能渐变的旋转圆柱梁进行了自由振动分析。

• 光束处于热环境中。

• 空心圆的新位移场

摘要

使用更高的-阶剪切变形梁理论（HSDBT），进行了功能梯度（FG）旋转圆柱梁在热环境下的自由振动分析。提出了一种新的中空圆柱梁位移场，该位移场使梁的内外表面的剪应力保持自由。本公式包括旋转光束线性方程的所有可能项，例如向心力和科里奥利力。假定材料特性与温度有关，并沿厚度方向分级。为了使系统离散化，使用了瑞利-里兹方法，这是一种有效且准确的近似方法。验证了该方法的收敛性，并将结果与文献中的可用解决方案进行了比较。我们研究了旋转速度，材料性能的温度依赖性以及材料性能分级指数对具有不同边界条件的FG圆柱梁的固有频率参数的影响。

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来源
《Applied Mathematical Modelling》 |2018年第4期|325-341|共17页
作者
Gh. Shabanlou; S.A.A. Hosseini; M. Zamanian;
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作者单位

Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University;

Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University;

Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University;

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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
Spinning beam; Functionally graded material; Higher-order shear deformation beam theory;

机译：旋转梁;功能梯度材料;高阶剪切变形梁理论;

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机译：非局部应变梯度理论和各种剪切变形理论在FG-CNTRCs面板夹层纳米梁电热环境非线性振动分析中的应用
2. Free Vibration Analysis of Spinning Beams Using Higher-Order Shear Deformation Beam Theory [J] . Gh. Shabanlou, S. A. A. Hosseini, M. Zamanian Iranian Journal of Science and Technology, Transactions of Mechanical Engineering . 2018,第4期

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3. Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory [J] . Ebrahimi Farzad, Farazmandnia Navid Mechanics of Advanced Materials and Structures . 2017,第9a16期

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4. DYNAMIC ANALYSIS OF THICK FUNCTIONALLY GRADED BEAMS WITH ELASTIC BOUNDARY CONDITIONS USING A HIGHER-ORDER SHEAR DEFORMATION THEORY [C] . Zhu Su, Guoyong Jin, He Huang, International Congress on Sound and Vibration . 2016

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5. Analysis by meshless local Petrov-Galerkin method of material discontinuities, pull-in instability in MEMS, vibrations of cracked beams, and finite deformations of rubberlike materials. [D] . Porfiri, Maurizio. 2006

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6. Hygro-Thermal Vibrations of Porous FG Nano-Beams Based on Local/Nonlocal Stress Gradient Theory of Elasticity [O] . Rosa Penna, Luciano Feo, Giuseppe Lovisi, 2021

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7. Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory [O] . Nguyen, Trung-Kien, Nguyen, T. Truong-Phong, Vo, Thuc, 2015

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Vibration analysis of FG spinning beam using higher-order shear deformation beam theory in thermal environment

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