Free vibration investigation of nano mass sensor using differential transformation method

被引：0
|
作者：
Misagh Zarepour
S. Amirhosein Hosseini
Majid Ghadiri
机构：
[1] Guilan University,Department of Mechanical Engineering
[2] University of Zanjan,Department of Mechanical Engineering
[3] Imam Khomeini International University,Department of Mechanical Engineering
来源：
Applied Physics A | 2017年 / 123卷
关键词：
Elastic Foundation; Shear Deformation Theory; Nonlocal Parameter; Differential Transformation Method; Modify Couple Stress Theory;
D O I：
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摘要：
In the present study, transverse vibration of nano-cantilever beam with attached mass and two rotational and transverse springs at its end is studied. Resonance frequency of vibrating system is influenced by changing mass particle and stiffness coefficients. Euler–Bernoulli beam theory, nonlocal constitutive equations of Eringen, and Hamilton’s principle are used to develop equations of motion. Differential transformation method (DTM) is applied to solve the governing equations of the nanobeam with attached mass particle. Accurate results with minimum mathematical calculation are the advantages of DTM. A detailed parametric study is conducted to investigate the influences of nonlocal parameter. The results can be used in designing of nanoelectromechanical systems. To verify the results, some comparisons are presented between differential transform method results and open literature to show the accuracy of this new approach.
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