Analysis of metallic and functionally graded beams using isogeometric approach and Carrera Unified Formulation

This paper investigates the bending and vibration characteristics of metallic and functionally graded (FG) beam structures. The weak form of governing equations and boundary conditions are derived using Carrera unified formulation (CUF). The isogeometric analysis (IGA) is employed to solve the stati...

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Bibliographic Details
Published in:Mechanics of advanced materials and structures 2023-02, Vol.30 (4), p.894-911
Main Authors: Rahmani, Farshad, Kamgar, Reza, Rahgozar, Reza
Format: Article
Language:English
Subjects:
Aspect ratio
Basis functions
beam structures
Beams (structural)
Boundary conditions
Carrera Unified Formulation
Free vibration
functionally graded
Functionally gradient materials
isogeometric analysis
Mathematical analysis
NURBS
Vibration analysis
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Summary:This paper investigates the bending and vibration characteristics of metallic and functionally graded (FG) beam structures. The weak form of governing equations and boundary conditions are derived using Carrera unified formulation (CUF). The isogeometric analysis (IGA) is employed to solve the static and free vibration problems. NURBS basis functions approximate the displacement field unknowns and material gradations in cross-section. In contrast, the axial displacements are evaluated by either NURBS or Lagrange basis functions. In this framework, the equations are extracted in the form of a fundamental nucleus, which allows the study of different beam theories in a constant formulation. Several numerical examples are presented and compared with results available in the literature to address the accuracy and effectiveness of the current approach. It is found that the present results are validated for different aspect ratios, boundary conditions, and material distribution with more accuracy and low computational cost.
ISSN:1537-6494
1537-6532
DOI:10.1080/15376494.2022.2028042