Buckling Analysis of Functionally Graded Timoshenko Beams


Buckling Analysis of Functionally Graded Timoshenko Beams
Published in:	Engineering, Integration, and Alliances for a Sustainable Development. Hemispheric Cooperation for Competitiveness and Prosperity on a Knowledge-Based Economy: Proceedings of the 18th LACCEI International Multi-Conference for Engineering, Education and Technology
Date of Conference:	July 27-31, 2020
Location of Conference:	Virtual
Authors:	Roman Arciniega (Universidad Peruana de Ciencias Aplicadas, PE) Shammely Ayala (Universidad Peruana de Ciencias Aplicadas, PE) Augusto Vallejos (Universidad Peruana de Ciencias Aplicadas, PE)
Full Paper:	#512

Abstract: A finite element model based on the Timoshenko theory is developed to compute the critical buckling loading of functionally graded beams. The Trefftz criteria is used for the stability analysis considering both fundamental and incremental states. A finite element formulation is derived from the principle of virtual work. The Lagrange interpolation functions are used to approximate the field variables. Numerical results are validated with several benchmark problems found in literature.