Finite strip method

TL;DR: In this article, the authors present a method for the analysis of folded-plates and box-girders by Classical Finite Strip analysis, which is based on the theory of free vibration and stability matrix.

Abstract: Introduction Interpolation Shape Functions Choice of Interpolation Shape Functions Available Interpolation Functions for Classical Finite Strips Longitudinal Functions for Spline Finite Strips Computed Shape Function Strips Constant Strain Conditions Plate Bending Problems Introduction Formulation for Thin Plate Bending Classical Plate Strips Spline Bending Strips Computed Shape Function (COMSFUN) Strips Curved Plate Strips Skew Plates Analysis of Moderately Thick Plates Least Square Formulation of Plate Bending Problems Plane Stress Analysis Introduction Classical Plane Stress Strips Spline Plane Stress Strips Computed Shape Function Strip (COMSFUN) Curved Plane Stress Strips Examples Mixed Formulation of Plane Stress Analysis Vibration and Stability Matrix Theory of Free Vibration Derivation of Consistent Mass Matrix of Classical Strips Derivation of Consistent Mass Matrix of Spline Strip Examples Linear Instability and Geometric (Stress) Stiffness Matrix Vibration Analysis of Moderately Thick Plates Modelling of Three Dimensional Solids: Finite Prism and Finite Layer Methods Introduction Finite Prism Method Finite Layer Method Domain Transformation: Treatments for Arbitrarily Shaped Structures Introduction Parametric Representation of Arbitrary Plane Curves Transformation for Arbitrarily Shaped Quadrilateral Plates Transformation of Arbitrarily Shaped Shells Transformation for Longitudinally Arbitrarily Curved Box Girders Applications to Shell Structures and Bridges Shell Structures Bridges Applications to Tall Buildings General Consideration and Structural Idealization Strip Elements Line Elements Discrete Beam Model Examples Applications to Layered Systems in Structural and Geotechnical Engineering Sandwich and Laminated Plates Geotechnical Problems Non-Linear Analysis Introduction Solution for Non-Linear System Material Non-Linearity Geometric Non-Linearity Non-Linear Vibration Transformation Approach: Fourier and Hankel Transforms Introduction Plane Strain Analysis Circular Loading Three-Dimensional Problem Viscoelastic Material (Creep) Consolidation Analysis Transport Problems Appendix: Program for the Analysis of Folded Plates and Box Girder Bridges by Classical Finite Strip Index