کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
773510 1463193 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear thermal dynamic buckling of FGM beams
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Nonlinear thermal dynamic buckling of FGM beams
چکیده انگلیسی


• Budiansky–Roth criterion is implemented for dynamic buckling analysis.
• FGM beams without elastic foundation contact do not buckle under sudden thermal loading.
• Unbounded motion type of dynamic buckling occurs in a thermally loaded FGM beam resting of sufficiently soft elastic foundation.
• Thermally loaded FGM beam on soft elastic foundation is imperfection sensitive.

Based on the nonlinear dynamic analysis, dynamic buckling and imperfection sensitivity of the FGM Timoshenko beam subjected to sudden uniform temperature rise are studied. Initial geometric imperfection of the beam is also taken into account. It is assumed that during deformation the beam is resting over a conventional three-parameter elastic foundation with softening/hardening cubic non-linearity. The analysis is performed with considering temperature dependency assumption of each thermo-mechanical property of the FGM beam. The governing nonlinear dynamic equations are derived based on the generalized Hamilton principle. In the spatial approximation of the problem, a set of ordinary differential equations in time is obtained by the conventional multi-term Ritz method. These equations are converted into a set of algebraic equations by utilizing the Newmark family of time approximation scheme. The obtained non-linear algebraic equations are solved via the well known Newton–Raphson iterative scheme. The Budiansky–Roth criterion is used to detect the unbounded motion type of dynamic buckling. Results reveal that for beams with stable post-buckling equilibrium path, no dynamic buckling occurs according to the Budiansky–Roth criterion. However, dynamic buckling may occur for the FGM beams resting on sufficiently stiff softening elastic foundation due to their unstable post-buckling equilibrium paths.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 54, November–December 2015, Pages 232–242
نویسندگان
, , ,