In March 2024, the THREAD project was completed successfully. This list of publications summarises essential scientific project results.
Articles in peer-reviewed scientific journals
- Holger Lang, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker (2025): A discrete mechanics approach to the Cosserat rod theory – Part II: Geometric insights about static equilibria on vertex and staggered grids; International Journal for Numerical Methods in Engineering 126, e70190; DOI: 10.1002/nme.70190
- Konstantina Ntarladima, Michael Pieber, Johannes Gerstmayr (2025): Coupling of bending and damping with axial motion for beams modeled with arbitrary Lagrangian–Eulerian formulation; Acta Mechanica 236, 4087–4105; DOI: 10.1007/s00707-025-04365-y
- Aurélien Grolet, Alessandra Vizzaccaro, Marielle Debeurre, Olivier Thomas (2025): High order invariant manifold model reduction for systems with non-polynomial non-linearities: Geometrically exact finite element structures and validity limit; International Journal of Non-Linear Mechanics 178, 105138; DOI: 10.1007/s11044-024-09999-9, see also link
- Indrajeet Patil, Olivier Brüls (2025): Numerical simulation of nonsmooth multibody systems with switching bilateral constraints; Nonlinear Dynamics 113, 22651–22678; DOI: 10.1007/s11071-025-11288-9, see also link
- Martina Stavole, Rodrigo Sato Martín de Almagro, Vanessa Dörlich, Sigrid Leyendecker (2025): On the determination of effective stiffness properties of multilayered axisymmetric beams via analytic and experimental approaches; International Journal of Solids and Structures 317, 113407; DOI: 10.1016/j.ijsolstr.2025.113407
- José Escalona (2025): Rope-sheave contact transient analysis in hoisting operations with a bristle model and an arbitrary Lagrangian-Eulerian approach; Multibody System Dynamics 63, 477–509; DOI: 10.1007/s11044-024-10000-w
- Marielle Debeurre, Aurélien Grolet, Olivier Thomas (2025): Quaternion-based finite element computation of nonlinear modes and frequency responses of geometrically exact beam structures in three dimensions; Multibody System Dynamics 63, 557–594; DOI: 10.1007/s11044-024-09999-9, see also link
- Denise Tumiotto, Martin Arnold (2025): Local coordinates on Lie groups for half-explicit time integration of Cosserat rod models with constraints; Multibody System Dynamics 63, 595–613; DOI: 10.1007/s11044-024-10002-8, see also link
- Sudhanva Kusuma Chandrashekhara, Dejan Zupan (2025): Static and dynamic analysis of material and geometrically nonlinear frame-like structures with softening; ASCE Journal of Structural Engineering 151, 04025058; DOI: 10.1061/JSENDH.STENG-13711, see also link
- Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo Sato Martín de Almagro, Martina Stavole (2025): Neural networks for the approximation of Euler's elastica; Computer Methods in Applied Mechanics and Engineering 435, 117584; DOI: 10.1016/j.cma.2024.117584, see also link
- Urban Rodman, Dejan Zupan, Tomaž Šuštar, Jože Korelc (2025): Geometrically nonlinear analysis of layered beams using symbolic approach; Composite Structures 351, 118583; DOI: 10.1016/j.compstruct.2024.118583, see also link
- Olivier Devigne, Alejandro Cosimo, Olivier Brüls (2024): A quasistatic ALE cable formulation for multibody systems applications; Multibody System Dynamics 65, 173–201; DOI: 10.1007/s11044-024-10033-1, see also link
- Mohammad Ali Saadat, Damien Durville (2024): A rheological constitutive model to predict the anisotropic biaxial bending behavior of spiral strands subjected to variable axial force; International Journal of Solids and Structures 305, 113082; DOI: 10.1016/j.ijsolstr.2024.113082, see also link
- Sudhanva Kusuma Chandrashekhara, Dejan Zupan (2024): Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation; Computers & Structures 301, 107464; DOI: 10.1016/j.compstruc.2024.107464, see also link
- Marielle Debeurre, Simon Benacchio, Aurélien Grolet, Clément Grenat, Christophe Giraud-Audine, Olivier Thomas (2024): Phase resonance testing of highly flexible structures: measurement of conservative nonlinear modes and nonlinear damping identification; Mechanical Systems and Signal Processing 215, 111423; DOI: 10.1016/j.ymssp.2024.111423, see also link
- Narges Mohammadi, Asko Rouvinen, Pasi Korkealaakso, José Escalona (2024): Real-time explicit co-simulation of wire-rope systems for industrial mobile harbor cranes; Nonlinear Dynamics 112, 13095–13114; DOI: 10.1007/s11071-024-09752-z, see also link
- Ergys Çokaj, Halvor Gustad, Andrea Leone, Per Thomas Moe, Lasse Moldestad (2024): Supervised time series classification for anomaly detection in subsea engineering; Journal of Computational Dynamics 11, 376–408; DOI: 10.3934/jcd.2024019, see also link
- Stefan Holzinger, Martin Arnold, Johannes Gerstmayr (2024): Evaluation and implementation of Lie group integration methods for rigid multibody systems; Multibody System Dynamics 62, 273–306; DOI: 10.1007/s11044-024-09970-8, see also link
- Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto (2024): B-stability of numerical integrators on Riemannian manifolds; Journal of Computational Dynamics 11, 92–107; DOI: 10.3934/jcd.2024002, see also link
- Jan Tomec, Gordan Jelenić (2024): Momentum and near-energy conserving / decaying time integrator for beams with higher-order interpolation on SE(3); Computer Methods in Applied Mechanics and Engineering 419, 116665; DOI: 10.1016/j.cma.2023.116665, see also link
- Jan Tomec, Gordan Jelenić (2024): Frictionless line-to-line contact: comparison of mortar and unbiased formulation in combination with Lagrange-multiplier and penalty method; International Journal of Solids and Structures 286–287, 112586; DOI: 10.1016/j.ijsolstr.2023.112586, see also link
- Matthias Schubert, Rodrigo Sato Martín de Almagro, Karin Nachbagauer, Sigrid Leyendecker (2024): Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics; Multibody System Dynamics 60, 447–474; DOI: 10.1007/s11044-023-09934-4, see also link
- Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. Reinout W. Quispel (2024): Using aromas to search for preserved measures and integrals in Kahan's method; Mathematics of Computation 93, 1633–1653; DOI: 10.1090/mcom/3921, see also link
- Davide Manfredo, Vanessa Dörlich, Joachim Linn, Martin Arnold (2024): Data based constitutive modelling of rate independent inelastic effects in composite cables using Preisach hysteresis operators; Multibody System Dynamics 62:581-596; DOI: 10.1007/s11044-023-09910-y, see also link
- Elena Celledoni, Helge Glöckner, Jørgen N. Riseth, Alexander Schmeding (2023): Deep neural networks on diffeomorphism groups for optimal shape reparametrization; BIT Numerical Mathematics 63, 50; DOI: 10.1007/s10543-023-00989-5, see also link
- Konstantina Ntarladima, Michael Pieber, Johannes Gerstmayr (2023): A model for contact and friction between beams under large deformation and sheaves; Nonlinear Dynamics 111, 20643–20660; DOI: 10.1007/s11071-023-08973-y, see also link
- Juliano Todesco, Olivier Brüls (2023): Highly accurate differentiation of the exponential map and its tangent operator; Mechanism and Machine Theory 190, 105451; DOI: 10.1016/j.mechmachtheory.2023.105451, see also link
- Marielle Debeurre, Aurélien Grolet, Olivier Thomas (2023): Extreme nonlinear dynamics of cantilever beams: effect of gravity and slenderness on the nonlinear modes; Nonlinear Dynamics 111, 12787–12815; DOI: 10.1007/s11071-023-08637-x, see also link
- Armin Bosten, Vincent Denoël, Alejandro Cosimo, Joachim Linn, Olivier Brüls (2023): A beam contact benchmark with analytic solution; ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 103, e202200151; DOI 10.1002/zamm.202200151, see also link
- Sudhanva Kusuma Chandrashekhara, Dejan Zupan (2023): Path following using velocity-based approach in quasi-static analysis; International Journal of Solids and Structures 275, 112292; DOI 10.1016/j.ijsolstr.2023.112292, see also link
- José Escalona (2023): An analytical solution of the rope-sheave contact in static conditions based on a bristle model; Mechanism and Machine Theory 185, 105334; DOI: 10.1016/j.mechmachtheory.2023.105334, see also link
- Mohammad Ali Saadat, Damien Durville (2023): A mixed stress-strain driven computational homogenization of spiral strands; Computers & Structures 279, 106981; DOI: 10.1016/j.compstruc.2023.106981, see also link
- Marielle Debeurre, Aurélien Grolet, Bruno Cochelin, Olivier Thomas (2023): Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures; Journal of Sound and Vibration 548, 117534; DOI: 10.1016/j.jsv.2022.117534, see also link
- Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren (2023): Learning Hamiltonians of constrained mechanical systems; Journal of Computational and Applied Mathematics 417, 114608; DOI: 10.1016/j.cam.2022.114608, see also link
- Maedeh Ranjbar, Leo Škec, Gordan Jelenić, Dragan Ribarić (2022): Mixed-mode delamination of layered structures modeled as Timoshenko beams with linked interpolation; International Journal for Numerical Methods in Engineering 124 (8), 1773–1797; DOI: 10.1002/nme.7187, see also link
- Grzegorz Orzechowski, José Escalona, Oleg Dmitrochenko, Narges Mohammadi, Aki M. Mikkola (2022): Modeling viscous damping for transverse oscillations in reeving systems using the Arbitrary Lagrangian-Eulerian Modal approach; Journal of Sound and Vibration 534, 117009; DOI: 10.1016/j.jsv.2022.117009, see also link
- Jan Tomec, Gordan Jelenić (2022): Analysis of static frictionless beam-to-beam contact using mortar method; Multibody System Dynamics 55, 293–322; DOI: 10.1007/s11044-022-09823-2, see also link
- José Escalona, Narges Mohammadi (2022): Advances in the modeling and dynamic simulation of reeving systems using the arbitrary Lagrangian-Eulerian modal method; Nonlinear Dynamics 108, 3985–4003; DOI: 10.1007/s11071-022-07357-y, see also link
- Michael Pieber, Konstantina Ntarladima, Robert Winkler, Johannes Gerstmayr (2022): A Hybrid Arbitrary Lagrangian Eulerian Formulation for the Investigation of the Stability of Pipes Conveying Fluid and Axially Moving Beams; Journal of Computational and Nonlinear Dynamics 17(5): 051006 (13 pages); DOI: 10.1115/1.4053505, see also link
- Stefan Hante, Denise Tumiotto, Martin Arnold (2022): A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model; Multibody System Dynamics 54, 97–123; DOI: 10.1007/s11044-021-09807-8, see also link
- Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren (2022): Lie group integrators for mechanical systems; International Journal of Computer Mathematics 99(1), 58–88; DOI: 10.1080/00207160.2021.1966772, see also link
- Helge I. Andersson, Elena Celledoni, Laurel Ohm, Brynjulf Owren, Benjamin K. Tapley (2021): An integral model based on slender body theory, with applications to curved rigid fibers; Physics of Fluids 33, 41904; DOI: 10.1063/5.0041521, see also link
Publications in conference proceedings
- Davide Manfredo, Mohammad Ali Saadat, Vanessa Dörlich, Joachim Linn, Damien Durville, Martin Arnold (2023): Modelling the inelastic constitutive behaviour of multi-layer spiral strands: comparison of hysteresis operator approach to rheological model. In: Jorge Ambrósio, Paulo Flores, Carlos Quental, Hugo Magalhães (eds.): Proceedings of Multibody Dynamics 2023 (ECCOMAS Thematic Conference), Lisbon, Portugal, 24 - 28 July, 2023; pdf, see also link
- Marielle Debeurre, Aurélien Grolet, Pierre-Olivier Mattei, Bruno Cochelin, Olivier Thomas (2023): Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments. In: Matthew R.W. Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso (eds.): Nonlinear Structures & Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, Springer, Cham, pp. 245–248; DOI: 10.1007/978-3-031-04086-3_35, see also link
- Martina Stavole, Rodrigo Sato Martín de Almagro, Margus Lohk, Sigrid Leyendecker (2022): Homogenization of the constitutive properties of composite beam cross-sections. In: ECCOMAS Congress 2022 - 8th European Congress on Computational Methods in Applied Sciences and Engineering / Oslo, Norway; DOI: 10.23967/eccomas.2022.139, see also link
- Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren (2022): Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. In: Matthias Ehrhardt, Michael Günther (eds.): Progress in Industrial Mathematics at ECMI 2021. Mathematics in Industry, vol 39. Springer Cham, pp. 297–304; DOI: 10.1007/978-3-031-11818-0_39, see also link
- Davide Manfredo, Vanessa Dörlich, Joachim Linn, Martin Arnold (2022): Modeling and Simulation of Inelastic Effects in Composite Cables. In: Matthias Ehrhardt, Michael Günther (eds.): Progress in Industrial Mathematics at ECMI 2021. Mathematics in Industry, vol 39. Springer Cham, pp. 267–272; DOI: 10.1007/978-3-031-11818-0_35, see also link
- Davide Manfredo, Vanessa Dörlich, Joachim Linn, Martin Arnold (2021): First steps in data based constitutive modelling of inelastic effects in composite cables using Preisach hysteresis operators. - In Jozsef Kövecses, Gábor Stépán, Ambrus Zelei (eds.): Proceedings of Multibody Dynamics 2021 (ECCOMAS Thematic Conference), Budapest, Hungary, 12 - 25 June, 2021, pp. 380–390; DOI: 10.3311/ECCOMASMBD2021-156, see also link
- Narges Mohammadi, José Escalona (2021): Dynamic Simulation of Reeving Systems With the Extension of the Modal Approach in the Axial Direction. In: Proceedings of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 9: 17th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC); DOI: 10.1115/DETC2021-71078, see also link
- Konstantina Ntarladima, Michael Pieber, Johannes Gerstmayr (2021): Investigation of the Stability of Axially Moving Beams With Discrete Masses. In: Proceedings of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 9: 17th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC); DOI: 10.1115/DETC2021-70302, see also link
- Jan Tomec, Gordan Jelenić (2021): Geometrijski točni 3D gredni element: SE(3) formulacija (Eng.: Geometrically exact 3D beam element: SE(3) formulation). In: Marino Brčić, Ante Skoblar, Dragan Ribarić (eds.): Proceedings of the 11th Meeting of the Croatian Society of Mechanics / Rijeka, Croatia: Croatian Society of Mechanics, 2021, pp. 293–297; link
- Sudhanva Kusuma Chandrashekhara, Dejan Zupan (2021): Velocity based elements for the quasi-static analysis of beams and frames. In: Janko Slavič, Martin Česnik (eds.): Proceedings of the National Congress of Slovenian Society of Mechanics – Kuhelj days / Bohinj, Slovenia: Slovenian Society of Mechanics, 2021, pp. 23–30; link
- Jan Tomec, Gordan Jelenić (2020): Statička analiza geometrijski točnim 3D grednim elementom (Eng.: Static analysis with geometrically exact 3D element). In: Darko Damjanović, Dražan Kozak, Pejo Konjatić, Marko Katinić (eds.): Proceedings of the 10th Meeting of the Croatian Society of Mechanics / Slavonski Brod, Croatia: Croatian Society of Mechanics, 2020, pp. 271–276; link
Special issue of Multibody System Dynamics
- Martin Arnold, Johannes Gerstmayr, Gordan Jelenić, José L. Escalona (eds.): Numerical Modelling of Highly Flexible Structures. Special issue of Multibody System Dynamics 63(4), 475-668, 2025; link, see also Preface
HFSS 2023 Book of Extended Abstracts
- Martin Arnold, Gordan Jelenić, Edita Papa Dukić (eds.): HFSS 2023 International Conference on Highly Flexible Slender Structures: Book of Extended Abstracts. ISBN 978-953-6953-60-8, University of Rijeka, Faculty of Civil Engineering, September 2023; link
