دانلود رایگان مقاله لاتین کمانش و ارتعاشات هدفمند ستون از سایت الزویر
عنوان فارسی مقاله:
کمانش و ارتعاشات هدفمند ستون مواد اشتراک گذاری حالت شکل دانکن، و موارد جدید
عنوان انگلیسی مقاله:
Buckling and Vibration of Functionally Graded Material Columns Sharing Duncan's Mode Shape, and New Cases
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Duncan [3] devoted his study to efficacy of the Bubnov-Galerkin method. Inter alia, he communicated, without derivation, closed-form solution for buckling of inhomogeneous columns. As is known, the closed form solutions for inhomogeneous structures are extremely rare. Therefore, it is interesting to know how Duncan obtained his solution. Moreover, a pertinent question arises if there are other columns or beams for which Duncan's mode shape is valid, or if there are other similar examples. This study addresses above issues. It shows how one can derive Duncan's classic solution, and constructs analogous solutions for the vibration problems. Remarkably, it turns out, that there exists a vibrating column whose vibration mode coincides with Duncan's buckling mode. Note that monograph by Elishakoff [5] contains analysis for other candidate mode shapes of beams in vibratory or buckling conditions. The present study is apparently the first one that addresses Duncan's mode shape directly.
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کلمات کلیدی:
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