کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4924245 1430840 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamic equations for an isotropic spherical shell using the power series method and surface differential operators
ترجمه فارسی عنوان
معادلات دینامیکی برای یک پوسته کروی ایزوتروپیک با استفاده از روش سری قدرت و اپراتورهای دیفرانسیل سطح
کلمات کلیدی
پوسته کروی، معادلات شل، اپراتورهای دیفرانسیل سطح اختصاصی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی
Dynamic equations for an isotropic spherical shell are derived by using a series expansion technique. The displacement field is split into a scalar (radial) part and a vector (tangential) part. Surface differential operators are introduced to decrease the length of all equations. The starting point is a power series expansion of the displacement components in the thickness coordinate relative to the mid-surface of the shell. By using the expansions of the displacement components, the three-dimensional elastodynamic equations yield a set of recursion relations among the expansion functions that can be used to eliminate all but the four of lowest order and to express higher order expansion functions in terms of those of lowest orders. Applying the boundary conditions on the surfaces of the spherical shell and eliminating all but the four lowest order expansion functions give the shell equations as a power series in the shell thickness. After lengthy manipulations, the final four shell equations are obtained in a relatively compact form which are given to second order in shell thickness explicitly. The eigenfrequencies are compared to exact three-dimensional theory with excellent agreement and to membrane theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 393, 14 April 2017, Pages 415-424
نویسندگان
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