Condensed Isogeometric Analysis for Plate and Shell Structures
Condensed Isogeometric Analysis for Plates and Shell Structures proposes a novel technique for plate and shell governing equations based on isogeometric analysis, which condenses the dynamic equilibrium equation for plate and shell structures—suitable for reducing the computation cost of large degrees of freedom due to the adoption of Non-Uniform Rational Basis Spline (NURBS) models in the plate and shell element formulations. It features useful guidance for understanding the isogeometric approach and includes accompanying MATLAB® source code in each chapter to deepen readers' understanding of the fundamental theories and methods of civil, architectural, and mechanical engineering.
- Adopts a progressive and rigorous presentation of relevant topics to facilitate use by students, academics, and professionals
- Seamlessly integrates the CAD geometrical data into the conventional FE plate and shell classical element codes
- Allows computation of analytical solutions of plate and shell theories based on a newly-introduced condensation method, not approximation theory
- Includes relevant MATLAB® codes
Representing a Surface Using Nonuniform Rationalized B-Spline. Numerical Integrations on a Surface. Theory of Plate and Shell Elements. Theories of Thick Plate and Shell Elements. Finite Element Formulation for Plate and Shell. Isogeometric Analysis for Plate and Shell. Recoverable Sandwich Condensation. Square Flat Plate Example. Free Surface Plate Example.