Vibration of Cylindrical Gold Nano-Beam with Fractional Order Thermoelastic Waves Subjected to Thermal Shock

Hamdy M. Youssef; Khaled A. Elsibai; Alaa A. El-Bary

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Vibration of Cylindrical Gold Nano-Beam with Fractional Order Thermoelastic Waves Subjected to Thermal Shock

机译：圆柱形金纳米梁的振动，分数级热弹性波进行热冲击

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摘要

In this paper, a mathematical model of cylindrical nano-beam with constant elastic parameters with fractional order heat conduction will be constructed. Laplace transforms will be used to get the general solution for any consideration of boundary conditions. The solution will be obtained for a certain model when the beam is subjected to thermal load. Inversion of Laplace transforms will be obtained numerically, and the results will be presented graphically with some comparisons to study the impact of thermal load and the effect of the fractional order parameter on the speed of progress of mechanical and thermal waves through the beam.

机译：本文将构造具有恒定弹性参数的圆柱形纳米梁的数学模型，将构建具有分数级热传导的恒定弹性参数。拉普拉斯变换将用于获取任何对边界条件的通用解决方案。当梁经受热负荷时，将获得某种模型的溶液。 Laplace变换的反转将在数值上获得，结果将以图形方式呈现，以研究热负荷的影响和分数阶参数对通过光束的机械和热波的进度速度的影响。

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《Journal of computational and theoretical nanoscience》 |2015年第12期|共5页
作者
Hamdy M. Youssef; Khaled A. Elsibai; Alaa A. El-Bary;
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作者单位

Faculty of Engineering Mechanics Department UmmAl-Qura University P.O. 5555 Makkah 21955 KSA;

Faculty of Applied Sciences Mathematics Department UmmAl-Qura University Makkah 21955 KSA;

Basic and Applied Sciences Arab Academy of Science and Technology P.O. 1029 Alexandria Egypt;

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正文语种 eng
中图分类薄膜技术;
关键词
Vibration; Gold Nano-Beam; Fractional Order; Thermoelastic Waves;

机译：振动;金纳米梁;分数级;热弹性波;

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1. Vibration of Cylindrical Gold Nano-Beam with Fractional Order Thermoelastic Waves Subjected to Thermal Shock [J] . Hamdy M. Youssef, Khaled A. Elsibai, Alaa A. El-Bary Journal of computational and theoretical nanoscience . 2015,第12期

机译：圆柱形金纳米梁的振动，分数级热弹性波进行热冲击
2. The Vibration of Nano-Beam Subjected to Thermal Shock and Moving Heat Source with Constant Speed [J] . Alghamdi Najat A. Journal of nano research . 2020,第期

机译：纳米梁的振动经受恒定速度的热冲击和移动热源
3. Vibration of Gold Nano-Beam with Variable Young’s Modulus Due to Thermal Shock [J] . Eman A. N. Al-Lehaibi, Hamdy M. Youssef World Journal of Nano Science and Engineering . 2015,第4期

机译：由于热冲击而具有可变杨氏模量的金纳米束的振动
4. (V08CT09A010)Fractional Order Thermoelastic Waves of Cylindrical Gold Nano-Beam [C] . Hamdy M. Youssef, Khaled A. Elsibai, Alaa A. El-Bary International Mechanical Engineering Congress and Exposition . 2014

机译：（V08CT09A010）圆柱形金纳米梁的分数序热弹性波
5. Laser generated thermoelastic waves in finite and infinite transversely isotropic cylinders. [D] . Chitikireddy, Ravi. 2012

机译：激光在有限和无限的横向各向同性圆柱体中产生热弹性波。
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

机译：基于局部/非本地应力梯度理论的多孔FG纳米梁的Hygro-热振动
7. Vibration of Gold Nano-Beam with Variable Young’s Modulus Due to Thermal Shock [O] . Eman A. N. Al-Lehaibi, Hamdy M. Youssef 2015

机译：由于热冲击导致变量杨氏模量的金纳米梁的振动

Vibration of Cylindrical Gold Nano-Beam with Fractional Order Thermoelastic Waves Subjected to Thermal Shock

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