Enhancements in analysis of beam-like structures using asymptotic methods

Variation asymptotic method;VAM;Geometrically Exact Beam Theory;GEBT;Composite;Nonlinear;Transient;Dynamic;Smart;Piezoelectric;Damping;Aperiodic;Inhomogeneous

Gupta, Mohit ; Hodges, Dewey H. Aerospace Engineering Kardomateas, George A. Ruzzene, Massimo Rimoli, Julian J. White, Donald W. ; Hodges, Dewey H.

University:Georgia Institute of Technology

Department:Aerospace Engineering

关键词: Variation asymptotic method;    VAM;    Geometrically Exact Beam Theory;    GEBT;    Composite;    Nonlinear;    Transient;    Dynamic;    Smart;    Piezoelectric;    Damping;    Aperiodic;    Inhomogeneous;   

Others  :  https://smartech.gatech.edu/bitstream/1853/61073/1/GUPTA-DISSERTATION-2019.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

As a complement to conventional FEA, state-of-the-art Variational Asymptotic Method (VAM) and a mixed formulation of Geometrically Exact Beam Theory (GEBT) are employed in this work, which is very fast, provides rigorous physics-based material models for composites while ensuring efficiency and accuracy. In the present work, some major issues with use of VAM-based framework for solving thin-walled structures have been identified and fixed, whose solution involved a theoretical modification in the existing VAM-based framework. Further, the overall framework has been facilitated with analysis of piezoelectric materials, analysis involving structural damping and a method to obtain, store and visualize time-histories of 3D stresses, strains and displacements.Finally, a method to use dimensional reduction techniques for solving beam-like structures, such as aircraft wings, involving complex and intricate 3-D geometries is demonstrated. Thus, the present work enhances the analysis of beams using asymptotic methods, expands the scope of VAM-based beam theory and provides extensive validation for implemented techniques with the commercially available 3-D FEM tools.