Integrated mechanically based CAE system using B-Spline finite elements

Kagan, Pavel; Fischer, Anath

doi:10.1016/s0010-4485(00)00041-5

Cited by 53 publications

(27 citation statements)

References 22 publications

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“…Stress analyses of a three dimensional curved composite panel with curved stiffeners demonstrated the effectiveness of the proposed integrated CAD-FEA framework. It facilitates the design of composite panels by allowing (1) CAD data to be directly used in a FEA package, (2) parameter studies in which the number of plies, the ply thickness can be easily varied and (3) an automatic generation of cohesive interface elements for delamination analysis [23]. Preliminary proof-of-concept examples were provided to demonstrate the capabilities of the offset algorithm and isogeometric analysis in the context of design and analysis of composite panels.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm

Nguyen

Kerfriden

Bordas

et al. 2014

Computer-Aided Design

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We present an integrated design-analysis framework for three dimensional composite panels. The main components of the proposed framework consist of (1) a new curve/surface offset algorithm and (2) the isogeometric concept recently emerged in the computational mechanics community. Using the presented approach, finite element analysis of composite panels can be performed with the only input being the geometry representation of the composite surface. In this paper, non-uniform rational B-splines (NURBS) are used to represent the panel surfaces. A stress analysis of curved composite panel with stiffeners is provided to demonstrate the proposed framework.We present an integrated design-analysis framework for three dimensional composite panels. The main components of the proposed framework consist of (1) a new curve/surface offset algorithm and (2) the isogeometric concept recently emerged in the computational mechanics community. Using the presented approach, finite element analysis of composite panels can be performed with the only input being the geometry representation of the composite surface. In this paper, non-uniform rational Bsplines (NURBS) are used to represent the panel surfaces. A stress analysis of curved composite panel with stiffeners is provided to demonstrate the proposed framework. abstract.pdfDear Profs. Editors-in-Chief, Please find enclosed a copy of the paper entitled "An integrated design-analysis framework for three dimensional composite panels", co-authored with VP Nguyen, P Kerfriden and T Rabczuk, which we would like to submit to Computer Aided Design. This is an original paper which has neither previously, nor simultaneously, in whole or in part been submitted anywhere else. We look forward to hearing if it is considered of interest for CAD. Best regards,Stephane Bordas cover.pdf1. An integrated CAD-FEA framework for composite panels is described 2. Algorithms to compute offsets of NURBS curves/surfaces are presented that allow to build analysis-suitable trivariate NURBS representation of CAD surfaces hightlights.pdfAn integrated design-analysis framework for three dimensional composite panels AbstractWe present an integrated design-analysis framework for three dimensional composite panels. The main components of the proposed framework consist of (1) a new curve/surface offset algorithm and (2) the isogeometric concept recently emerged in the computational mechanics community. Using the presented approach, finite element analysis of composite panels can be performed with the only input being the geometry representation of the composite surface. In this paper, non-uniform rational B-splines (NURBS) are used to represent the panel surfaces. A stress analysis of curved composite panel with stiffeners is provided to demonstrate the proposed framework.

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Section: Resultsmentioning

confidence: 99%

“…It is probably that the first work that attempted to link CAD and FEA was the work of Kagan and his co-workers [1,2]. In the referred works, B-splines were utilized to represent the solid geometry in the FE model.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm

Nguyen

Kerfriden

Bordas

et al. 2014

Computer-Aided Design

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“…B-Spline basis functions are calculated by using recursive functions, given in Eqs (1) and (2). Basis functions are calculated with the use of Matlab function (appendix 7.1).…”

Section: Basis Functionmentioning

confidence: 99%

Static Structural and Modal Analysis Using Isogeometric Analysis

Gondegaon¹,

Voruganti²

2016

Journal of Theoretical and Applied Mechanics

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Isogeometric Analysis (IGA) is a new analysis method for unification of Computer Aided Design (CAD) and Computer Aided Engineering (CAE). With the use of NURBS basis functions for both modelling and analysis, the bottleneck of meshing is avoided and a seamless integration is achieved. The CAD and computational geometry concepts in IGA are new to the analysis community. Though, there is a steady growth of literature, details of calculations, explanations and examples are not reported. The content of the paper is complimentary to the existing literature and addresses the gaps. It includes summary of the literature, overview of the methodology, step-by-step calculations and Matlab codes for example problems in static structural and modal analysis in 1-D and 2-D. At appropriate places, comparison with the Finite Element Analysis (FEM) is also included, so that those familiar with FEM can appreciate IGA better.KEY WORDS: Isogeometric analysis, B-spline, finite element analysis, computer aided design, Matlab.

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“…Theoretically derived mathematical models may often be inaccurate, in particular when dealing with complex structures. Several papers on FE models based on B-spline shape functions have been published in recent years (Kagan & Fischer, 2000;Hughes et al, 2005). Some papers showed the superior accuracy of B-spline FE models compared with classic polynomial FE models, especially when dealing with vibration problems (Hughes et al, 2009).…”

Section: Introductionmentioning

confidence: 99%