Essays about: "Isogeometric Analysis"

Found 4 essays containing the words Isogeometric Analysis.

  1. 1. Isogeometric analysis as a tool for large deformation shape optimization

    University essay from Lunds universitet/Institutionen för byggvetenskaper; Lunds universitet/Hållfasthetslära

    Author : Max Kurki; [2021]
    Keywords : IGA; NURBS; Shape optimization; Large deformations; Topology optimization; Technology and Engineering;

    Abstract : The framework for isogeometric analysis (IGA) is presented, especially the construction and use of non-uniform rational B-splines (NURBS) to represent geometry, and a method utilizing IGA for structural optimization both for linear elastic and non-linear elastic deformations is implemented. Topology optimization of a linear elastic cantilever is performed, showing that IGA is inecient for topology optimization. READ MORE

  2. 2. A Matrix-less Method for Approximating the Eigenvectors of Toeplitz-like Matrices

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : David Meadon; [2021]
    Keywords : ;

    Abstract : Matrix-less methods (MLM) have successfully been used to efficiently approximate the eigenvalues of certain classes of structured matrices. Specifically, the method has been used to approximate the eigenvalues of Toeplitz and Toeplitz-like matrices. READ MORE

  3. 3. Implementation and validation of an isogeometric hierarchic shell formulation

    University essay from KTH/Bro- och stålbyggnad

    Author : Michael Loibl; [2019]
    Keywords : Isogeometric Analysis; Shell; Locking; Kirchho-Love; Reissner-Mindlin; Three-Dimensional Shell I;

    Abstract : Within this thesis, thin walled shell structures are discussed with modern element formulationsin the context of the Isogeometric Analysis (IGA). IGA was designed to achieve a directinterface from CAD to analysis. According to the concept of IGA, Non-Uniform RationalB-Splines (NURBS) are used as shape functions in the design and the analysis. READ MORE

  4. 4. Numerical Methods for the PDES on Curves and Surfaces

    University essay from Institutionen för datavetenskap

    Author : Dimitrios Kamilis; [2013]
    Keywords : ;

    Abstract : Curves and surfaces are manifolds that can be represented using implicit and parametric methods. With a representation in hand, one can define a partial differential equation on the manifold using differential tangential calculus. READ MORE