کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
774240 1463209 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method
چکیده انگلیسی

The continuous-mass transfer matrix method (CTMM) is one of the few practical approaches to yield the “exact” solutions for free vibrations of a non-uniform beam carrying any number of concentrated elements. However, most of the existing CTMM does not consider the effects of shear deformation (SD), rotary inertia (RI), joint action term of SD and RI, and axial load. Thus, the objective of this paper is to present a simple formulation so that one can easily obtain the “exact“ natural frequencies and the associated mode shapes of a multi-step beam carrying arbitrary various concentrated elements (including eccentric lumped masses with rotary inertias, linear springs, rotational springs and spring-mass systems) in various boundary conditions with all the above-mentioned effects considered by using the modified CTMM. In addition to comparing with the existing relevant data, most of the numerical results obtained from the modified CTMM are also compared with those of the conventional finite element method (FEM) and good agreements are achieved.


► Exact solutions for free vibrations of axial-loaded Timoshenko beam are obtained.
► The new shear deformation function can simplify the formulations significantly.
► Non-classical boundary conditions (BCs) enable one to obtain various BCs easily.
► Rigid-attached lumped masses do not affect the critical buckling load of a beam.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 38, March–April 2013, Pages 20–37
نویسندگان
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