Leitz, Thomas
Dipl.-Ing.
Thomas Leitz
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- 2011 Dipl.-Ing., Diploma in Mechanical Engineering, Friedrich-Alexander-Universität Erlangen-Nürnberg
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- 2011 – 2019 Doctoral candidate, Institute of Applied Dynamics, Friedrich-Alexander-Universität Erlangen-Nürnberg
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theses
2022
Galerkin Lie group variational integrators (Dissertation, 2022)
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2011
Ein numerisches Verfahren zur Berechnung des elastohydrodynamischen Kontakts rauer Oberflächen (Diploma thesis, 2011)
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reviewed journal publications
2021
Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation — no shear locking
In: Computer Methods in Applied Mechanics and Engineering 374 (2021), p. 113475
ISSN: 0045-7825
DOI: 10.1016/j.cma.2020.113475
URL: https://www.sciencedirect.com/science/article/pii/S0045782520306605
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2018
Galerkin Lie-group variational integrators based on unit quaternion interpolation
In: Computer Methods in Applied Mechanics and Engineering 338 (2018), p. 333-361
ISSN: 0045-7825
DOI: 10.1016/j.cma.2018.04.022
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2014
Variational Lie group formulation of geometrically exact beam dynamics: synchronous and asynchronous integration
In: Computational Methods in Applied Sciences, Berlin: Springer, 2014, p. 175-203
DOI: 10.1007/978-3-319-07260-9_8
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conferences and proceedings
2021
Galerkin variational integration of the geometrically exact beam via unit dual quaternion interpolation
conference, GAMM Annual Meeting (Kassel, 2021-03-15 - 2021-03-19)
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2017
On unit-quaternion based Galerkin Lie group variational integrators
Foundations of Computational Mathematics (FoCM) (Barcelona, 2017-07-10 - 2017-07-12)
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2016
Multisymplectic variational (Lie group) integrators for PDEs of geometrically exact beam dynamics using algorithmic differentiation
GAMM Annual Meeting (Braunschweig, 2016-03-07 - 2016-03-11)
In: Proc. Appl. Math. Mech (PAMM) 2016
DOI: 10.1002/pamm.201610364
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2014
Simulating underactuated multibody dynamics using servo constraints and variational integrators
GAMM Annual Meeting (Erlangen, 2014-03-10 - 2014-03-14)
In: Proc. Appl. Math. Mech. (PAMM) 2014
DOI: 10.1002/pamm.201410018
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Variational integrators for dynamical systems with rotational degrees of freedom
WCCM XI – ECCM V – ECFD VI (Barcelona, 2014-07-20 - 2014-07-25)
In: Proceedings of WCCM XI – ECCM V – ECFD VI 2014
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2013
Asynchronous variational Lie group integration for geometrically exact beam dynamics
GAMM Annual Meeting (Novi Sad, 2013-03-18 - 2013-03-22)
In: Proc. Appl. Math. Mech (PAMM) 2013
DOI: 10.1002/pamm.201310018
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Asynchronous variational Lie group integration for geometrically exact beam dynamics
ECCOMAS Thematic Conference on Mutlibody Dynamics (Zagreb, 2013-07-01 - 2013-07-04)
In: Proceedings of the ECCOMAS Thematic Conference on Mutlibody Dynamics 2013
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2012
Simulation of the elastohydrodynamic contact with a piezo-viscous fluid
GAMM Annual Meeting (Darmstadt, 2012-03-26 - 2012-03-30)
In: Proc. Appl. Math. Mech. (PAMM) 2012
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further publications
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Space time discretization for flexible multibody systems and multisymplectic variational integrators
(Own Funds)
Term: 2011-10-01 - 2018-09-30Variational integrators are based on the discretization of the variational principle. It is applied to an approximation of the action functional and results in the discrete Euler-Lagrange equations. If space time is discretized in one step, the resulting integrator is multisymplectic, i.e. symplectic in both space and time.Those integrators are suitable for the simulation of flexible multibody systems including beams, shells and 3D continua. Some of the symmetries present in the continuous system are carried over to the discrete setting which leads to the conservation of the associated discrete momentum maps. Furthermore, variational integrators show a very good energy behaviour, i.e. they do not artificially dissipate or gain total energy in a conservative system.
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