A simultaneous space‐time discretization approach to the inverse dynamics of geometrically exact strings

DOI10.1002/nme.6951zbMath1527.74075OpenAlexW4213127902MaRDI QIDQ6090714

Peter Betsch, Timo Ströhle

Publication date: 17 November 2023

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.6951

zbMATH Keywords

feedforward controlmethod of characteristicstrajectory trackingspace-time Galerkin finite element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Strings (74K05)

Related Items

Application of stable inversion to flexible manipulators modeled by the absolute nodal coordinate formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics and control of mechanical systems in partly specified motion
• A geometric approach to solving problems of control constraints: Theory and a DAE framework
• Analysis and control of nonlinear systems. A flatness-based approach
• Solution of linear elastodynamics problems with space-time finite elements on structured and unstructured meshes
• Continuous and discontinuous Galerkin methods with finite elements in space and time for parallel computing of viscoelastic deformation
• Real-time trajectory control of an overhead crane using servo-constraints
• Numerical integration for the inverse dynamics of a large class of cranes
• Combined open-loop and funnel control for underactuated multibody systems
• Variational space-time elements for large-scale systems
• A numerical approach to space-time finite elements for the wave equation
• Index reduction by minimal extension for the inverse dynamics simulation of cranes
• Flatness of Heavy Chain Systems
• Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope
• Simulating Hamiltonian Dynamics
• An Introduction to the Mathematical Theory of Inverse Problems
• Simplex space–time meshes in finite element simulations
• On finite elements simulatenously in space and time
• Isogeometric Analysis
• A Flatness-Based Approach to the Control of Distributed Parameter Systems Applied to Load Transportation with Heavy Ropes
• Non-linear Modeling and Analysis of Solids and Structures
• Nonlinear problems of elasticity
• Essential boundary conditions and multi-point constraints in finite element analysis