Analysis of nonlinear Timoshenko-Ehrenfest beam problems with von Kármán nonlinearity using the theory of functional connections

DOI10.1016/j.matcom.2022.10.015OpenAlexW4306811885MaRDI QIDQ2104377

Daniele Mortari, Christopher Yassopoulos, J. N. Reddy

Publication date: 7 December 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.10.015

zbMATH Keywords

nonlinear finite element methodnonlinear theory of functional connectionsnonlinear Timoshenko-Ehrenfest beam

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Optics, electromagnetic theory (78-XX)

Uses Software

• SciPy
• Python
• GitHub
• TFC

Cites Work

• GitHub
• Least-squares solution of linear differential equations
• The theory of connections: connecting points
• High accuracy least-squares solutions of nonlinear differential equations
• Analysis of Timoshenko-Ehrenfest beam problems using the theory of functional connections
• Least-squares solutions of boundary-value problems in hybrid systems
• Theory of functional connections applied to quadratic and nonlinear programming under equality constraints
• Isogeometric analysis: an overview and computer implementation aspects
• A TFC-based homotopy continuation algorithm with application to dynamics and control problems
• Variational differential quadrature: a technique to simplify numerical analysis of structures
• An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams

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