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DEMİR, D., SİNİR, B. G., BİLDİK, N.. (1394). DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW. , 39(M2), 283-290. doi: 10.22099/ijstm.2015.3240
D. DÖNMEZ DEMİR; B. G. SİNİR; N. BİLDİK. "DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW". , 39, M2, 1394, 283-290. doi: 10.22099/ijstm.2015.3240
DEMİR, D., SİNİR, B. G., BİLDİK, N.. (1394). 'DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW', , 39(M2), pp. 283-290. doi: 10.22099/ijstm.2015.3240
DEMİR, D., SİNİR, B. G., BİLDİK, N.. DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW. , 1394; 39(M2): 283-290. doi: 10.22099/ijstm.2015.3240

DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW

Iranian Journal of Science and Technology Transactions of Mechanical Engineering
مقاله 1، دوره 39، M2، دی 2015، صفحه 283-290    اصل مقاله (479.03 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22099/ijstm.2015.3240
نویسندگان
D. DÖNMEZ DEMİR* 1؛ B. G. SİNİR2؛ N. BİLDİK1
1Dept. of Math., Faculty of Art & Sciences, Celal Bayar University, 45047, Manisa, Turkey
2Dept. of Civil Eng., Faculty of Engineering, Celal Bayar University, 45140 Manisa, Turkey
چکیده
In this paper, the dynamical behavior of an axially moving string modeled by fractional derivative is investigated. The governing equation represented motion is solved by the method of multiple scales. Considering principal parametric resonance, the stability boundaries for string with simple supports are obtained. Numerical results indicate the effects of fractional damping on stability.
کلیدواژه‌ها
Axially moving string؛ Fractional differentiation؛ Method of multiple scales؛ Principal parametric resonance
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