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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 338, p. 333
Lie-group variational integrators of arbitrary order are developed using the Galerkin method, based on unit quaternion interpolation. To our knowledge,... 
Microelectromechanical systems | Interpolation | Nonlinear equations | Numerical analysis | Quaternions | Lagrange multipliers | Optimal control | Mechanical properties | Integrators | Galerkin method | Nonlinear systems | Symmetry
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 07/2019, Volume 126, pp. 590 - 608
In this paper, fuzzy uncertainty in forward dynamics simulation is considered. The output of the dynamical system – a fuzzy function – is determined on the... 
[formula omitted]-level optimisation | Epistemic uncertainty | Forward dynamics simulation | Fuzzy differential equations | α-level optimisation | alpha-level optimisation | TRANSFORMATION METHOD | ENGINEERING, MECHANICAL | Formulations | Uncertainty | Computer simulation | Time integration | Optimization | Fuzzy systems
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 04/2019, Volume 121, pp. 876 - 889
Journal Article
PAMM, ISSN 1617-7061, 11/2019, Volume 19, Issue 1, p. n/a
In order to model the behaviour of muscles that work around the joints in musculoskeletal simulations, information about the muscle paths are needed.... 
Journal Article
Computational Mechanics, ISSN 0178-7675, 12/2019, Volume 64, Issue 6, pp. 1601 - 1619
This paper deals with the fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure. Macroscopic material properties are... 
Engineering | Epistemic uncertainty | alpha $$ α -cut-optimization | Forward dynamics simulation | Classical and Continuum Physics | Fuzzy numbers | Computational homogenization | Stochastic FEM | Theoretical and Applied Mechanics | Computational Science and Engineering
Journal Article
PAMM, ISSN 1617-7061, 12/2018, Volume 18, Issue 1, p. n/a
In musculoskeletal simulations muscle lengths and muscle force directions imply the characteristics of muscles acting around joints. Typically, the anatomical... 
Journal Article
PAMM, ISSN 1617-7061, 12/2018, Volume 18, Issue 1, p. n/a
In engineering applications, dynamic simulations are usually carried out with precisely defined input parameters. In this contribution, forward dynamics with... 
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 03/2018, Volume 45, Issue 1, pp. 1 - 21
In this work, we present a new derivation of higher order variational integration methods that exploit the phase lag properties for numerical integrations of... 
Discrete variational mechanics | Highly oscillatory problems | Phase lag analysis | Variational integrators | General N-body problem | MATHEMATICS, APPLIED | MULTISTEP METHODS | Usage | Frequency estimation | Research | Variational principles | Mathematical research
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 2014, Volume 574, Issue 1, pp. 12002 - 4
In the present work, we derive a family of higher order exponential variational integrators for the numerical integration of systems containing slow and fast... 
Intervals | Numerical integration | Approximation | Mathematical analysis | Mathematical models | Integrators | Quadratures
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 01/2019, Volume 99, Issue 1, pp. e201700221 - n/a
Today, a lot of mechanical systems have to operate with an improved performance compared to equal constructions decades ago. To stay competitive, engineers... 
optimal control | discrete Riccati equations | variational integrators | MATHEMATICS, APPLIED | MECHANICS | DISCRETE MECHANICS | Trajectory control | Computer simulation | Mathematical analysis | Optimal control | Control systems | Engineers | Feedback control | Deviation | Mechanical systems | Nonlinear systems | Optimization
Journal Article
PAMM, ISSN 1617-7061, 12/2017, Volume 17, Issue 1, pp. 149 - 150
An approach to minimize the control costs and ensuring a stable deviation control is the Riccati controller and we use it to control constrained dynamical... 
Journal Article
PAMM, ISSN 1617-7061, 12/2017, Volume 17, Issue 1, pp. 557 - 558
A wide‐spread lumped parameter model describing the electrostatic pressure is presented by Pelrine et. al. in 1998 [1]. In Pelrine's model, the electrostatic... 
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 338, pp. 333 - 361
Lie-group variational integrators of arbitrary order are developed using the Galerkin method, based on unit quaternion interpolation. To our knowledge,... 
Lie group method | Higher order | Variational integrators | RIGID-BODY DYNAMICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONSTRAINED MECHANICAL SYSTEMS | ALGORITHM | TIME INTEGRATION | NULL SPACE METHOD | ENERGY CONSISTENT INTEGRATION | Control systems
Journal Article
Journal of Chemical Information and Modeling, ISSN 1549-9596, 10/2018, Volume 58, Issue 10, p. 2108
Elastic network models (ENMs) and constraint-based, topological rigidity analysis are two distinct, coarse-grained approaches to study conformational... 
Dynamic structural analysis | Hydrogen-based energy | Topological manifolds | Computer simulation | Hydrogen | Enthalpy | Macromolecules | Molecular dynamics | Rigidity | Crystallography | Flexibility | Hydrogen bonding | Free energy | Proteins | Hydrogen bonds | Entropy (Information theory) | Kinematics | Constraint modelling | Stiffness
Journal Article
Proteins: Structure, Function, and Bioinformatics, ISSN 0887-3585, 10/2017, Volume 85, Issue 10, pp. 1795 - 1807
Journal Article
PAMM, ISSN 1617-7061, 10/2016, Volume 16, Issue 1, pp. 751 - 752
For the simulation of geometrically exact beam dynamics [4], a multisymplectic Lie‐group variational integrator [3] is derived. Based on the implementation of... 
Journal Article
PAMM, ISSN 1617-7061, 10/2016, Volume 16, Issue 1, pp. 55 - 56
An approach to minimize the control costs and ensuring a stable deviation control is the Riccati controller and we want to use it to control constrained... 
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 10/2015, Volume 83, pp. 36 - 47
Proteins operate and interact with partners by dynamically exchanging between functional substates of a conformational ensemble on a rugged free energy... 
Singular configuration | Protein collective motions | Rigidity | Conformational sampling | Protein | Nullspace | CONFORMATIONAL ENTROPY | PHYSICS, CONDENSED MATTER | MATERIALS SCIENCE, MULTIDISCIPLINARY | FLEXIBILITY | MECHANISMS | GRAPHS | SPACE | NMR | MECHANICS | DYNAMICS | REALIZATIONS | SYSTEMS | KINEMATICS | Proteins | Demand | Searching | Kinematics | Molecular dynamics | Biomolecules | Mathematical models
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 07/2017, Volume 1863, Issue 1
The presented constrained Galerkin variational integrators base on the higher order variational integrators in [1], now applied to holonomically constrained... 
Runge-Kutta method | Integrators | Galerkin method | Computing time
Journal Article
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