Eskandari Jam, J., Mirzaei, Y., Gheshlaghi, B. (2010). Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3(2), 39-46.
Jafar Eskandari Jam; Yaser Mirzaei; Behnam Gheshlaghi. "Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3, 2, 2010, 39-46.
Eskandari Jam, J., Mirzaei, Y., Gheshlaghi, B. (2010). 'Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3(2), pp. 39-46.
Eskandari Jam, J., Mirzaei, Y., Gheshlaghi, B. Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2010; 3(2): 39-46.
Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes
1Associated Professor, Composite Material and Technology Center, Tehran, Iran
2Professor, Department of mechanical engineering, Damavand branch, Islamic Azad University, Damavand, Iran
3- Lecturer, Department of mechanical engineering, Damavand branch, Islamic Azad University, Damavand, Iran
Abstract
In this work,The free nonlinear vibrations of nanotubes using the Euler-Bernoulli beam theory along with the von Kármán geometric nonlinearity in presence of surface effects has been investigated. Natural frequencies of a simply-supported nanotube in terms of the Jacobi elliptic functions are obtained by using the free vibration modes of the corresponding linear problem. The numerical results describe the imperative influence of surface effect, mode number, vibration amplitude, and the length and thickness of the nanotubes on the vibrational characteristics of the nanotubes. In addition the influence of surface effects on the system phase trajectory is considered. Finally, it is observed that the surface effects diminish by increasing in the dimension of nanotubes. The present study may be used to improve the design of different types of micro-nano sensors.
تأثیر کشش سطحی بر تحلیل ارتعاشات غیر خطی نانو لوله
Authors [Persian]
جعفر اسکندری جم, یاسر میرزایی, بهنام قشلاقی
Abstract [Persian]
در این مقاله به بررسی ارتعاشات غیرخطی نانو لوله ها با استفاده از تئوری اویلر برنولی تیر و با در نظر گرفتن مدل غیرخطی هندسی ون-کارمن به همراه اثرات کشش سطحی پرداخته شده است. با به‌کارگیری مدهای ارتعاشات آزاد مسئله خطی، فرکانس‌های طبیعی غیر خطی نانو لوله با شرایط مرزی ساده بر حسب توابع بیضوی ژاکوبی به‌دست آورده شده است. نتایج عددی نشان می‌دهد که کشش سطح، شماره مود، دامنه ارتعاشات و طول نانو لوله اثرات مورد توجهی بر خواص ارتعاشی نانو لوله‌ها دارند. همچنین تأثیر کشش سطح بر روی نمودار فاز مورد بررسی قرار گرفته است. در نهایت، مشاهده شده است که تأثیر کشش سطح با افزایش ابعاد نانو لوله از بین می‌رود. مطالعه حاضر را می‌توان در بهبود طراحی انواع مختلف میکرو- نانو سنسورها مورد استفاده قرار داد.
Keywords [Persian]
ارتعاشات غیرخطی، کشش سطح، نانو لوله
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