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Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis [PDF]

Heliyon
This study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams.
Farzad Abdi, Aazam Ghasemi, Alireza Ariaei, S. Ali Eftekhari, Mehrdad Nasr, Mohamad Khaje Khabaz, Soheil Salahshour   +6 more
doaj   +2 more sources

Isogeometric analysis of wing structures using multipatch parametrization and penalty-based coupling method [PDF]

Scientific Reports
Geometric parametrization and structural analysis play a pivotal role in aircraft structural design. Isogeometric analysis utilizes high-order, high-continuity spline basis functions for field variable discretization, offering superior solution accuracy ...
Dawei Wang, Xian Cao, Yang Xue, Wei Wang, Xiaoxiao Du   +4 more
doaj   +2 more sources

Isogeometric boundary element method analysis for dielectric target shape optimization in electromagnetic scattering [PDF]

Science Progress
In order to optimize the overall form of electromagnetic scattering in two-dimensional dielectric media, this work offers a frequency-domain boundary element method based on isogeometric analysis. The Isogeometric boundary element method (IGABEM) is used
Chengmiao Liu, Qingxiang Pei, Ziyu Cui, Zelu Song, Gaochao Zhao, Yang Yang   +5 more
doaj   +2 more sources

Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials

Mathematics, 2022
In this study, a Monte Carlo simulation (MCs)-based isogeometric stochastic Finite Element Method (FEM) is proposed for uncertainty quantification in the vibration analysis of piezoelectric materials.
Yanming Xu, Haozhi Li, Leilei Chen, Juan Zhao, Xin Zhang   +4 more
doaj   +1 more source

Isogeometric Topology Optimization of Continuum Structures using an Evolutionary Algorithm [PDF]

Journal of Applied and Computational Mechanics, 2019
Topology optimization has been an interesting area of research in recent years.  The main focus of this paper is to use an evolutionary swarm intelligence algorithm to perform Isogeometric Topology optimization of continuum structures.  A two-dimensional
N.S.S. Sahithi, K.N.V. Chandrasekhar
doaj   +1 more source

Linear Independence of T-Spline Blending Functions of Degree One for Isogeometric Analysis

Mathematics, 2021
Linear independence of the blending functions is a necessary requirement for T-spline in isogeometric analysis. The main work in this paper focuses on the analysis about T-splines of degree one, we demonstrate that all the blending functions of such T ...
Aizeng Wang, Ling Li, Wei Wang, Xiaoxiao Du, Feng Xiao, Zhanchuan Cai, Gang Zhao   +6 more
doaj   +1 more source

Size-Dependent Buckling Analysis of Microbeams by an Analytical Solution and Isogeometric Analysis

Crystals, 2022
This paper proposes an analytical solution and isogeometric analysis numerical approach for buckling analysis of size-dependent beams based on a reformulated strain gradient elasticity theory (RSGET).
Shuohui Yin, Zhibing Xiao, Gongye Zhang, Jingang Liu, Shuitao Gu   +4 more
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NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics [PDF]

Journal of Applied and Computational Mechanics, 2019
An interaction integral method for evaluating mixed-mode stress intensity factors (SIFs) for two dimensional crack problems using NURBS-based isogeometric analysis method is investigated. The interaction integral method is based on the path independent J-
Abdolghafour Khademalrasoul
doaj   +1 more source

A Survey on Isogeometric Collocation Methods with Applications

Mathematics, 2023
Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided design and engineering, which has been widely applied in various aspects of computational mechanics. IGA involves Galerkin and collocation formulations. Exploiting
Jingwen Ren, Hongwei Lin
doaj   +1 more source

A simple size-dependent isogeometric approach for bending analysis of functionally graded microplates using the modified strain gradient elasticity theory

Vietnam Journal of Mechanics, 2020
In this study, a simple size-dependent isogeometric approach for bending analysis of functionally graded (FG) microplates using the modified strain gradient theory (MSGT), simple first-order shear deformation theory (sFSDT) and isogeometric analysis is ...
Chien H. Thai, H. Nguyen-Xuan
doaj   +1 more source