Eipakchi, H., Seddighi, H. (2010). A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3(2), 13-21.
H.R. Eipakchi; H. Seddighi. "A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3, 2, 2010, 13-21.
Eipakchi, H., Seddighi, H. (2010). 'A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 3(2), pp. 13-21.
Eipakchi, H., Seddighi, H. A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2010; 3(2): 13-21.
A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads
1Assistant Professor, Mechanical Engineering Faculty, Shahrood University of Technology
2M.Sc. Student, Mechanical Engineering Faculty, Shahrood University of Technology
Abstract
In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under lateral and axial loads have been determined. The governing equations have been extracted using Euler and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by using the Euler and Timoshenko beam theories based on Kelvin and standard models. The results have been compared with the elastic case. The results show that the simulation of a viscoelastic beam with an elastic case, is not a reasonable approximation for moderately high damping. Also, the damping parameter has not been appeared explicitly in the buckling load determination, even though the buckling load of a viscoelastic beam is 50% more than an elastic beam.
بررسی کمانش و ارتعاشات تیر ویسکوالاستیک تحت بارهای عرضی گسترده و محوری
Authors [Persian]
حمید رضا ایپک چی, حمیده صدیقی
Abstract [Persian]
در این مقاله به بررسی پاسخ دینامیکی تیر ویسکوالاستیک و بار کمانش آن تحت بارهای عرضی و محوری به کمک مدل‌های کلوین و استاندارد خطی پرداخته شده است. معادلات حاکم بر اساس دو تئوری اویلر- برنولی و تیموشنکو استخراج شده و حل تحلیلی آنها به کمک بسط توابع ویژه به‌دست آمده است. بار کمانش و پاسخ براساس تئوریهای اویلر - برنولی و تیموشنکو و مدل‌های کلوین و استاندارد خطی محاسبه و با نتایج حالت الاستیک مقایسه شده است. نتایج نشان می‌دهد مدل سازی تیر ویسکوالاستیک با تیر الاستیک در استهلاک‌های متوسط، تقریب ضعیفی است. همچنین، پارامتر استهلاک به‌صورت صریح در تعیین بار کمانش ظاهر نمی‌شود ولی بار کمانش تیر ویسکو الاستیک، 50% بیش از تیر الاستیک است.
Keywords [Persian]
ارتعاش تیر ویسکوالاستیک، کمانش تیر ویسکوالاستیک، روش بسط توابع ویژه، بارگذاری عرضی و محوری
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