An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures

Keyphrases

• Shell Structures 100%
• Geometric Uncertainty 100%
• Isogeometric Approach 100%
• High Order Perturbation 100%
• Nth Order 66%
• B-spline 66%
• Stochastic Response 66%
• Geometrical Thickness 66%
• Thickness Uncertainty 66%
• Proposed Formulation 66%
• Monte Carlo Simulation 33%
• Direct Simulation Monte Carlo 33%
• High-order 33%
• Automobile 33%
• Numerical Examples 33%
• Computation Time 33%
• Coefficient of Variation 33%
• Deterministic Solution 33%
• Engineering Application 33%
• Response Accuracy 33%
• Small Perturbation 33%
• Shear Locking 33%
• Random Inputs 33%
• Shell Element 33%
• First-order Perturbation 33%
• Stochastic Formulation 33%
• Shell Geometry 33%
• Taylor Series 33%
• Isogeometric 33%
• Second-order Perturbation 33%
• Perturbation Approach 33%
• State Function 33%
• Perturbation Parameter 33%
• Uncertainty Problem 33%
• Thin Shell Structures 33%
• Inherent Drawbacks 33%
• B-pillar 33%
• Kirchhoff-Love Shells 33%
• Matrix Laboratory (MATLAB) 33%
• Element-based 33%

Engineering

• Shells (Structures) 100%
• Non-Uniform Rational B-Splines 50%
• Numerical Example 25%
• Kirchhoff 25%
• Shell Element 25%
• Engineering Application 25%
• Computational Time 25%
• Shear Locking 25%
• State Function 25%
• Spline Basis Function 25%
• Deterministic Solution 25%
• Perturbation Approach 25%
• Coefficient of Variation 25%
• Taylor Series 25%