Abstract




 
   

IJE TRANSACTIONS C: Aspects Vol. 31, No. 3 (March 2018) 495-503    Article in Press

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  SURFACE ENERGY AND ELASTIC MEDIUM EFFECTS ON TORSIONAL VIBRATIONAL BEHAVIOR OF EMBEDDED NANORODS
 
R. Nazemnezhad
 
( Received: July 26, 2017 – Accepted in Revised Form: October 12, 2017 )
 
 

Abstract    In this paper surface energy and elastic medium effects on torsional vibrational behavior of nanorods are studied. The surface elasticity theory is used to consider the surface energy effects and the elastic medium is modeled as torsional springs attached to the nanorod. At the next step, Hamilton’s principle is utilized to derive governing equations and boundary conditions. Then, with the aid of an analytical method, natural frequencies are obtained and effects of various parameters on torsional frequencies are studied in details. It is concluded from the present study that the surface energy can make nanorods unstable depending on the nanorod dimension and frequency number. Results of the present study can be useful in design of nanoelectromechanical systems like drive shafts.

 

Keywords    Surface energy, Elastic medium, Torsional vibration, Nanorod, Natural frequency.

 

چکیده    در این مقاله، اثرات انرژی سطح و محیط الاستیک بر رفتار ارتعاشات آزاد پیچشی نانومیله‌ها مطالعه شده است. به منظور در نظر گرفتن تاثیر انرژی سطح، از تئوری الاستیسیته سطحی استفاده شده است و محیط الاستیک بصورت فنرهای پیچشی متصل به نانومیله مدل شده است. در گام بعدی، با استفاده از اصل همیلتون معادله حرکت و شرایط مرزی استخراج شده است. سپس فرکانس‌های طبیعی با استفاده از روش تحلیلی استخراج شده و تاثیر پارامترهای مختلف بر روی فرکانس‌های پیچشی مطالعه شده است. نتایج این پژوهش نشان می‌دهد که انرژی سطح می‌تواند سبب ناپایداری نانومیله شود که این ناپایداری بستگی به ابعاد و شماره فرکانس نانومیله دارد. نتایج این پژوهش می‌تواند در طراحی سیستم‌های نانوالکترومکانیکی مانند شافت‌های محرک مفید باشد.

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