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Isogeometric analysis
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This work focuses on the free vibration of the functionally graded porous (FGP) sandwich microplates using the isogeometric approach (IGA). The FGP sandwich plate comprises the homogeneous core and the FG porous face sheets. The material properties of the FGP face sheets are supposed to vary through the thickness direction according to the power-law function and modified rule of a mixture of the volume fraction with three different types of porosity distribution: homogeneous porous, X porous and V porous distributions.
11p
dathienlang1012
03-05-2024
2
0
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This article investigates the free vibration of the porous metal foam plates resting on an elastic foundation based on the isogeometric approach (IGA). The elastic foundation is modeled as a two-parameter of Winkler and Pasternak foundations. The pores are assumed to vary through the thickness direction in three types: uniform, symmetric and asymmetric distributions.
11p
dathienlang1012
03-05-2024
2
0
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This paper is aimed at quickly predicting the dynamic behavior of functionally graded plates using nontraditional computational approaches consisting of artificial neural networks (ANN) and extreme gradient boosting (XGBoost).
11p
viohoyo
25-04-2024
4
2
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This paper investigates the bending behavior of beams by considering: (1) the EulerBernoulli beam model, (2) Mindlin’s strain gradient elasticity theory, (3) the von Kármán strain assumptions. The principle of virtual work is used to derive the non-linear governing equations in form of a six-order partial differential equation.
7p
viohoyo
25-04-2024
5
2
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This enables the use of straightforward methods for isogeometric analysis in conventional finite element systems. A SOCP problem is created from the limit analysis problem, which may then be solved using Mosek optimization software. The numerical results indicate the correctness and effectiveness of the current technique by contrasting it with other approaches mentioned in the literature.
8p
vijeff
27-11-2023
4
4
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In this paper, a study on the free vibration analysis based on isogeometric approach of truss structures is presented. Three refinement schemes such as h-, p- and k- refinement are used to obtain the accuracy of solution.
8p
vidoctorstrange
06-05-2023
4
1
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This paper is further extended NURBS-based isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied.
10p
vidoctorstrange
06-05-2023
7
2
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This study investigates the static bending and free vibration behaviour of Multi-directional Functionally Graded plates having a variable thickness. With this regard, the third-order shear deformation plate theory is used to describe the kinematic relation. Material properties of MFGM are assumed to be graded in spatial direction within the plate’s volume and the effective material properties are calculated based on the power-law approach.
20p
vimclaren
12-10-2022
4
3
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This study presents an effective method based on long short-term memory to reduce the computational cost in nonlinear static analysis of functionally graded plates. Data points representing a load-deflection curve in a dataset are generated through isogeometric analysis.
17p
vimclaren
12-10-2022
3
2
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In this paper, effect of porosity on nonlinear analysis of plate structures is presented. Two porous distributions are considered. Governing equations are expressed by using isogeometric analysis (IGA) and the third-order shear deformation theory (TSDT). With these approaches, it is easy to fulfil the C1-continuity requirement of the plate model.
3p
viwilliamleiding
10-12-2021
8
1
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In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) for geometrically nonlinear analysis of retaining walls. The geometrical nonlinearity is formed in the total Lagrange approach; Whereas, the material is linear elastic. Deformations are large to use finite deformation theory.
4p
vivacation2711
23-10-2021
13
1
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In addition, the displacement field of THSDT needs the high continuity in approximated formulation with high-order derivatives for a weak form of fourth order equation. According to IGA formulation based on the generalized THSDT, the shear locking phenomenon is free. The variables of THSDT are less than HSDTs which contain five DOFs per node. The influences of weight fractions, the coefficient porosity, dispersion patterns of GPLs and distribution types of porosity on structure’s natural frequencies are studied through some numerical examples.
16p
chauchaungayxua12
09-07-2021
11
2
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In this research, the isogeometric finite element method is used to discretise the displacement domain of strutures in the first step. The primal-dual algorithm based upon the von Mises yield criterion and a Newton-like iteration is used in the second step to solve optimization problem.
157p
capheviahe28
01-03-2021
5
2
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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 presented for the first time. The present approach reduces one variable when comparing with the original first-order shear deformation theory (FSDT) within five variables and only considers three material length scale parameters (MLSPs) to capture size effects.
13p
trinhthamhodang9
10-12-2020
15
0
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This paper present, as examples of challenging computations performed, computational analysis of horizontaland vertical-axis wind turbines and ow-driven string dynamics in pumps.
32p
nguathienthan9
08-12-2020
11
4
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This paper presents free vibration analysis of functionally graded (FG) porous nanoplates based on isogeometric approach. Based on a modified power-law function, material properties are given. The nonlocal elasticity is used to capture size effects. According to a combination of the Hamilton’s principle and the higher order shear deformation theory, the governing equations of the porous nanoplates are derived.
11p
angicungduoc5
13-06-2020
16
0
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In this paper, an efficient computational approach is developed to investigate the free-vibration behavior of functionally graded plates. The problem is developed based on a three-dimensional elasticity theory, which is expected to capture the structural response accurately. Isogeometric analysis is employed as a discretion tool to solve the problems.
11p
elandorr
05-12-2019
14
2
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In this study, for the first time an isogeometric finite element formulation for bending analysis of functionally graded porous (FGP) plates reinforced by graphene platelets (GPLs) embedded in piezoelectric layers is presented. It is named as PFGP-GPLs for a short. The plates are constituted by a core layer, which contains the internal pores and GPLs dispersed in the metal matrix either uniformly or non-uniformly according to three different patterns, and two piezoelectric layers perfectly bonded on the top and bottom surfaces of host plate.
15p
elandorr
05-12-2019
13
1
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The main advantages of the present method are capable of handling the exact geometry of conic sections and making the flexibility of refinement and degree elevation with an arbitrary continuity of basic functions. These features results in high accuracy of approximate solutions for practical applications, especially piezoelectric problems. Three numerical examples are provided to validate excellent performance of the present method.
15p
thienthanquydu
19-10-2018
30
0
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We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form of response analysis model for laminated composite plates is used to obtain the discrete system of equations.
17p
thienthanquydu
19-10-2018
52
0
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