کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7174193 1464977 2016 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Benchmark analytical solutions from beams with shared eigenpair
ترجمه فارسی عنوان
ارزیابی راه حل های تحلیلی از پرتوهای با پارامتر مشترک
کلمات کلیدی
تیرهای دوار، اشتراک خصوصی پرتو گرادیان بار، ارتعاش آزاد، توابع تست،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
Structures with governing equations having identical inertial terms but somewhat differing stiffness terms can be termed flexurally analogous. An example of such a structure includes an axially loaded non-uniform beam and an unloaded uniform beam, for which an exact solution exists. We find that there exist shared eigenpairs (frequency and mode shapes) for a particular mode between such structures. Non-uniform beams with uniform axial loads, gravity loaded beams and rotating beams are considered and shared eigenpairs with uniform beams are found. In general, the derived flexural stiffness functions (FSF׳s) for the non-uniform beams required for the existence of shared eigenpair have internal singularities, but some of the singularities can be removed by an appropriate selection of integration constants using the theory of limits. The derived functions yield an insight into the relationship between the axial load and flexural stiffness of axially loaded beam structures. The derived functions can serve as benchmark solutions for numerical methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Mechanical Sciences - Volume 106, February 2016, Pages 245-253
نویسندگان
, ,