عنوان مقاله :
آناليز مجانبي ارتعاشات آزاد تير يكسر گيردار با يك ترك خستگي
عنوان به زبان ديگر :
Asymptotic Analysis of the Free Vibration of a Cantilever Beam with a Fatigue Crack
پديد آورندگان :
حسن نژاد، رضا نويسنده دانشگاه تبريز,دانشكده مهندسي مكانيك Hassannejad, R , رضائي، موسي نويسنده Rezaee, M
اطلاعات موجودي :
فصلنامه سال 1389
كليدواژه :
تير يكسر گيردار , حل مجانبي , روش اغتشاشات , ارتعاشات آزاد , ترك خستگي
چكيده لاتين :
In this paper the free vibration of a cantilever beam containing a breathing crack is investigated. Generally, the researchers have applied numerical methods to study the vibrational behavior of a cracked beam. In this research the governing equation of the motion for free vibration of the cracked beam is derived, and by applying suitable modifications and variable changes is expressed as the multiplication of a decaying exponential function by the Mathieu equation. By analyzing the parameters of the governing equation, this equation is solved by employing perturbation method. Presented method makes it possible to estimate damping characteristic of the system. The result shows that the system damping depends on the crack parameters, geometric dimensions, mechanical properties of the beam, and an increase in the crack depth results in an increase in the system damping. In order to validate the results, a comparison is made between the response of the cracked beam with a given crack depth and location obtained by the proposed analytical solution and that of the numerical method. Also, changes in fundamental frequency ratios versus crack severities are compared with those of the experimental results available in the literature. The obtained results from the proposed method agree well with the experimental results presented in the literature.
عنوان نشريه :
مهندسي مكانيك اميركبير
عنوان نشريه :
مهندسي مكانيك اميركبير
اطلاعات موجودي :
فصلنامه با شماره پیاپی سال 1389
كلمات كليدي :
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