An energy‐conserving co‐rotational procedure for the dynamics of shell structures

DOI10.1108/02644409810225715zbMath0936.74080OpenAlexW2028128507MaRDI QIDQ4241287

M. A. Crisfield, H. G. Zhong

Publication date: 18 May 2000

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409810225715

zbMATH Keywords

tangent stiffness matrixspin matrixcorotational procedureenergy-conserving mid-point time-integration schemelarge-scale rotations

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Shells (74K25) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Discrepancies of energy values in dynamics of three intersecting plates, Energy consistent algorithms for dynamic finite deformation plasticity, On shear correction factors in the nonlinear theory of elastic shells, Nonlinear dynamic analysis of shells with the triangular element TRIC., Generalized energy-momentum method for nonlinear adaptive shell dynamics, Energy-momentum conserving integration schemes for molecular dynamics, A large‐strain elasto–plastic shell formulation using the Morley triangle, A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics, 4-node combined shell element with semi-EAS-ANS strain interpolations in 6-parameter shell theories with drilling degrees of freedom, Rotation vector and its complement parameterization for singularity-free corotational shell element formulations, Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999), A robust composite time integration scheme for snap-through problems

Cites Work

• Finite rotation analysis and consistent linearization using projectors
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
• Nonlinear thin shell analysis using a curved triangular element
• Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
• Energy decaying scheme for nonlinear beam models
• Some aspects of the nonlinear finite element method
• An energy‐conserving planar finite beam element for dynamics of flexible mechanisms
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A consistent co-rotational formulation for shells using the constant stress/constant moment triangle
• Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
• Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
• A co‐rotational element/time‐integration strategy for non‐linear dynamics
• A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
• AN ENERGY-CONSERVING CO-ROTATIONAL PROCEDURE FOR THE DYNAMICS OF PLANAR BEAM STRUCTURES
• A FINITE ELEMENT FORMULATION FOR 3-D CONTINUA USING THE CO-ROTATIONAL TECHNIQUE