کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5500537 | 1534261 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Effective wave propagation along a rough thin-elastic beam
ترجمه فارسی عنوان
انتشار موج موثر در امتداد یک پرتو نازک الاستیک
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کلمات کلیدی
ضعیف شدن موج، تعداد موثر موثر، پرتو الاستیک در واژن، تقریبی قدم، معادله انتگرال، رویکرد چندگانه،
موضوعات مرتبط
مهندسی و علوم پایه
علوم زمین و سیارات
زمین شناسی
چکیده انگلیسی
Two methods for computing the complex-valued effective wavenumber of a rough beam in the context of linear time-harmonic theory are presented. The roughness of the beam is modelled as a continuous random process of known characteristic length and root-mean-square amplitude for either the beam mass or the beam rigidity. The first method is based on a random sampling method, with the effective wave field calculated as the mean of a large ensemble of wave fields for individual realisations of the roughness. The individual wave fields are calculated using a step approximation, which is validated for a deterministic problem via comparison to results produced by an integral equation approach. The second method assumes a splitting of the length scale of the fluctuations and an observation scale, employing a multiple-scale approximation to derive analytical expressions for the effective attenuation rate and phase change. Numerical comparisons show agreement of the results of the random sampling method and the multiple-scale approximation for a wide range of parameters. It is shown that the effective wavenumbers only differ by a real constant between the cases of varying beam mass and rigidity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 70, April 2017, Pages 3-14
Journal: Wave Motion - Volume 70, April 2017, Pages 3-14
نویسندگان
Sebastian Rupprecht, Luke G. Bennetts, Malte A. Peter,