87 research outputs found

    Mesh morphing and smoothing by means of radial basis functions (RBF): A practical example using fluent and RBF morph

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    Radial Basis Functions (RBF) mesh morphing, its theoretical basis, its numerical implementation, and its use for the solution of industrial problems, mainly in Computer Aided Engineering (CAE), are introduced. RBF theory is presented showing the mathematical framework for a basic RBF fit, its MathCAD implementation, and its usage. The equations required for a 2D case comparing RBF smoothing and pseudosolid smoothing based on Finite Elements Method (FEM) structural solution are given; RBF exhibits excellent performance and produces high quality meshes even for very large deformations. The industrial application of RBF morphing to Computational Fluid Dynamics (CFD) is covered presenting the RBF Morph software, its implementation, and a description of its working principles and performance. Practical examples include: physical problems that use CFD, shape parameterisation strategy, and modelling guidelines for setting-up a well posed RBF problem. Future directions explored are: transient shape evolution, fluid structure interaction modelling, and shape parameterization in multi-physics, multi-objective design optimization.</jats:p

    Online quality control of corrugated board panel by image processing

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    In this work a quality control procedure for corrugated board is presented. Mechanical performances of corrugated board panels are mainly influenced by the starting material, corrugation shape, panel thickness and adhesive joint quality. The actual shape of the corrugated board is acquired by a camera online and digitised to obtain a mathematical representation suitable for the calculation of actual shape parameters and the manufacturing error introduced. The mathematical model of actual shape is then used to generate a Finite Element Model of material microstructure that allows the calculation of stiffness and strength parameters of the panel giving a direct estimation of material performances. Extracted parameters can be introduced in a control system that tunes the input parameters related to the shape error detected and maintains the performances within the desired range. Copyright © 2005 Inderscience Enterprises Ltd

    Evaluation of equivalent stiffness properties of corrugated board

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    A numerical approach to evaluate the stiffness parameters for corrugated board is presented in this paper. The method is based on a detailed micromechanical representation of a region of corrugated board modelled by means of finite elements. In order to define the stiffness properties, energy equivalency is imposed between the discrete model and the equivalent plate. Exploiting a transformation matrix capable to map a constant strain/curvature vector for the equivalent plate in a displacement field of the FEM boundary nodes, it is possible to express an equivalent ABD matrix as a function of the boundary condensed stiffness matrix of the FEM model. Practical examples dealing with the computation of stiffness properties of paperboard are presented. (c) 2004 Elsevier Ltd. All rights reserved

    Fast Radial Basis Functions for Engineering Applications

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    This book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF. Radial basis functions (RBF) are a mathematical tool mature enough for useful engineering applications. Their mathematical foundation is well established and the tool has proven to be effective in many fields, as the mathematical framework can be adapted in several ways. A candidate application can be faced considering the features of RBF:  multidimensional space (including 2D and 3D), numerous radial functions available, global and compact support, interpolation/regression. This great flexibility makes RBF attractive – and their great potential has only been partially discovered. This is because of the difficulty in taking a first step toward RBF as they are not commonly part of engineers’ cultural background, but also due to the numerical complexity of RBF problems that scales up very quickly with the number of RBF centers. Fast RBF algorithms are available to alleviate this and high-performance computing (HPC) can provide further aid. Nevertheless, a consolidated tradition in using RBF in engineering applications is still missing and the beginner can be confused by the literature, which in many cases is presented with language and symbolisms familiar to mathematicians but which can be cryptic for engineers. The book is divided in two main sections. The first covers the foundations of RBF, the tools available for their quick implementation and guidelines for facing new challenges; the second part is a collection of practical RBF applications in engineering, covering several topics, including response surface interpolation in n-dimensional spaces, mapping of magnetic loads, mapping of pressure loads, up-scaling of flow fields, stress/strain analysis by experimental displacement fields, implicit surfaces, mesh to cad deformation, mesh morphing for crack propagation in 3D, ice and snow accretion using computational fluid dynamics (CFD) data, shape optimization for external aerodynamics, and use of adjoint data for surface sculpting. For each application, the complete path is clearly and consistently exposed using the systematic approach defined in the first section

    Il metodo 50:50:50: ottimizzazione aerodinamica della Volvo XC60

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    Il ruolo del mesh morphing nella simulazione emodinamica

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    Il mesh morphing è impiegato con successo in molte applicazioni CAE poiché consente di rappresentare nuove forme modificando direttamente la griglia di calcolo senza dover intervenire sul modello CAD. Le variazioni di forma sono in genere mirate all’ottimizzazione del sistema (cambiamenti di forma o di posizionamento relativo fra componenti) o allo studio multi-fisico (interazione fluido struttura, evoluzione di pareti dovuta a crescita di ghiaccio e neve)

    Il metodo 50:50:50: ottimizzazione aerodinamica della Volvo XC60

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    Mesh morphing accelerates design optimization

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