کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
288284 509616 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simplified description of out-of-plane waves in thin annular elastic plates
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
Simplified description of out-of-plane waves in thin annular elastic plates
چکیده انگلیسی

Dispersion relations are derived for the out-of-plane wave propagation in planar elastic plates with constant curvature using the classical Kirchhoff thin plate theory. The dispersion diagrams and the mode shapes are compared with their counterparts for a straight plate strip and the role of curvature is assessed for plates with unconstrained edges. Elementary Bernoulli–Euler theory for a beam of rectangular cross-section with the circular shape of its axis is also employed to analyze the wave guide properties of this structure in its out-of-plane deformation. The applicability range of the elementary beam theory is validated. The wave finite element method in the formulation of the three-dimensional elasticity theory is used to ensure that the comparison of dispersion diagrams is performed in the frequency range, where the classical thin plate theory is valid. Thus, the paper summarizes the effects brought to the propagation of out-of-plane waves in thin elastic plates by their constant curvature and the models of these plates.


► Out-of-plane waves in annular elastic plates are described by Kirchhoff theory.
► Comparisons with simplified models are made.
► Verification of the method is made through Wave Finite Element.
► Computationally expensive model of a curved elastic plate is proven marginal.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 332, Issue 4, 18 February 2013, Pages 894–906
نویسندگان
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