Energy Conserving and Numerical Stability in non Linear Dynamic Using Isogeometric Analysis

Abstract

An investigation about energy conserving and numerical stability related to non linear dynamic problems involving large rotations and large displacements is carried out within the framework of IsoGeometric Analysis. A corotational kinematics derived from the exact polar decomposition is used in order to deal with geometrically non linear behavior. The Generalized α (Gα) and Generalized Energy-Momentum Method (GEMM+ξ) are employed with consistent and lumped mass, for a large range of continuity class of basis function. A set of examples are presented in order to show the accuracy and efficiency as well as the improvement of energy conserving and numerical stability.