Sensitivity analysis for dynamic mechanical systems with finite rotations
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Publication:3590350
DOI10.1002/nme.2232zbMath1195.70003OpenAlexW2087086151WikidataQ59899762 ScholiaQ59899762MaRDI QIDQ3590350
Publication date: 17 September 2010
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2232
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Dynamics of a rigid body and of multibody systems (70E99)
Related Items (11)
Weakly and fully coupled methods for structural optimization of flexible mechanisms ⋮ Numerical methods and parallel algorithms for computation of periodic responses of plates ⋮ Topology optimization of members of flexible multibody systems under dominant inertia loading ⋮ Inverse dynamics of serial and parallel underactuated multibody systems using a DAE optimal control approach ⋮ Sensitivity analysis for multibody systems formulated on a Lie group ⋮ A hybrid direct-automatic differentiation method for the computation of independent sensitivities in multibody systems ⋮ Optimization of Multibody Systems and Their Structural Components ⋮ System-based approaches for structural optimization of flexible mechanisms ⋮ Bifurcations of nonlinear normal modes via the configuration domain and the time domain shooting methods ⋮ Analysis of open-loop control design and parallel computation for underactuated manipulators ⋮ Efficient geometric linearization of moving-base rigid robot dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- The (symmetric) Hessian for geometrically nonlinear models in solid mechanics: Intrinsic definition and geometric interpretation
- Sensitivity analysis of constrained multibody systems
- Numerical integration of ordinary differential equations on manifolds
- Modeling and sensitivity analysis of multibody systems using new solid, shell and beam elements
- Sensitivity analysis of rigid-flexible multibody systems
- The vectorial parameterization of rotation
- The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
- An excursion into large rotations
- Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.
- Lie group methods for rigid body dynamics and time integration on manifolds
- Integrating finite rotations
- On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- Review of options for structural design sensitivity analysis. I: Linear systems
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Design sensitivity analysis in large deformation elasto-plastic and elasto-viscoplastic problems
- Time integration of the equations of motion in mechanism analysis
- A beam finite element non-linear theory with finite rotations
- Sensitivity analysis for non-linear constrained elastostatic systems
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
- Automatic differentiation of numerical integration algorithms
- Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticity
- On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory
- Constrained integration of rigid body dynamics
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