کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5471074 1519387 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the flapping motion of a helicopter blade
ترجمه فارسی عنوان
در حرکت فلپینگ یک تیغه هلیکوپتر
کلمات کلیدی
طراحی تیغه روتور حرکت فلنج با تیغه راه حل های دوره ای ارتعاش هلیکوپتر،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
It is well known that the flapping motion β(t) of a helicopter blade can be modeled with an inhomogeneous linear differential equation with periodic coefficients. In this paper, we compare two methods that compute the Fourier coefficients of this motion. The first method provides an algorithm to numerically find the periodic solution β(t). We provide a method to numerically compute the initial conditions of this periodic solution. Having this solution allows us easily compute as many Fourier coefficients as we want. The second method consists of either assuming that β(t)=β0+βc1cos(Ωt)+βs1sin(Ωt) to find expressions for β0, βc1, βs1 or assuming that β(t)=β0+βc1cos(Ωt)+βs1sin(Ωt)+βc2cos(2Ωt)+βs2sin(2Ωt) to find expressions for β0, βc1, βs1, βc2, βs2. Or, in case more precision is needed, we assume β(t)=β0+βc1cos(Ωt)+βs1sin(Ωt)+⋯+βcmcos(mΩt)+βsmsin(mΩt) for some m > 2. It is interesting to point out that the expressions for β0, βc1, βs1 obtained by considering β(t)=β0+βc1cos(Ωt)+βs1sin(Ωt) are different from the ones obtained when we consider β(t)=β0+βc1cos(Ωt)+βs1sin(Ωt)+βc2cos(2Ωt)+βs2sin(2Ωt). The computation of blade flapping harmonics is extremely important for analyzing the helicopter harmonic content to gain a better understanding on how to achieve a better blade design. Blade design researchers who are unfamiliar with the first method will benefit immensely from using this method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 46, June 2017, Pages 299-311
نویسندگان
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