Manuchehrifar, A., Abtahi, S. (2014). Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7(3), 23-33.
A. Manuchehrifar; S.F. Abtahi. "Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7, 3, 2014, 23-33.
Manuchehrifar, A., Abtahi, S. (2014). 'Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7(3), pp. 23-33.
Manuchehrifar, A., Abtahi, S. Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2014; 7(3): 23-33.
Effect of Bed and Crack on the Natural Frequency for the Timoshenko Beam Using Finite Element Method
1Assistant Prof., Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
2MSc Student, Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
Abstract
In this study, the natural frequencies and mode shapes of beams without cracks and cracked Timoshenko beams is calculated with different boundary conditions using finite element method. The energy method is used to solve the equations. Hardness and softness matrices for Timoshenko beam without crack are obtained by solving the potential and kinetic energy equations. Then for investigation of cracked condition, the cracked element stiffness matrix is used and the beam natural frequencies are obtained by entering the boundary conditions of the beam. After that the effect of bed is investigated by addition of it to the equations.
بررسی اثر بستر و ترک بر فرکانس طبیعی تیر تیموشنکو به روش اجزاء محدود
Authors [Persian]
افشین منوچهری فر, فرید ابطحی
Abstract [Persian]
در این تحقیق، محاسبه فرکانس‌های طبیعی و شکل مودهای ارتعاشات خمشی تیرهای بدون ترک و ترک‌دار تیموشنکو با شرایط مرزی مختلف به روش اجزاء محدود موردنظر است. روش مورداستفاده در این پژوهش، روش انرژی است. در اینجا با استفاده از روش انرژی و در نظر گرفتن تئوری تیر تیموشینکو، ماتریسهای سختی و نرمی برای تیر بدون ترک استخراج میشود. سپس به‌منظور اعمال شرایط ترک، از ماتریس سختی المان ترک‌دار استفاده میشود و با واردکردن شرایط مرزی دو طرف تیر، فرکانس‌های طبیعی تیر بدست میآیند. پس‌ازآن با اعمال اثر بستر در معادلات، تأثیر بستر بر فرکانس طبیعی موردبررسی قرار میگیرد
Keywords [Persian]
روش اجزاء محدود، تیر تیموشنکو، ترک، بستر
References
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]16[ چهارمحالیپور، ا.، نحوی، ح.، بررسی رفتار ارتعاشی تیرهای دارای ترک، دانشکده مکانیک، دانشگاه آزاد خمینی‌شهر، 1387.
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