[00517] Numerical Modelling of Highly Flexible Structures for Industrial Applications
Session Time & Room : 3C (Aug.23, 13:20-15:00) @E606
Type : Proposal of Minisymposium
Abstract : Highly flexible slender structures like yarns, cables, hoses or ropes are essential parts of high-performance engineering systems. The complex response of such structures in real operational conditions is far beyond the capabilities of current modelling tools that are at the core of modern product development cycles. The European Training Network THREAD, see https://thread-etn.eu/, addresses this problem class by novel methods for modelling and numerical simulation and their application in medical engineering, ropeway system design, civil engineering and automotive industry. Three groups of the THREAD network report on modelling aspects and tailored geometric time integration methods in these fields of application.
Organizer(s) : Martin Arnold, Sigrid Leyendecker, Dejan Zupan
Abstract : In this work we show an application of an augmented Lagrangian formulation to simulate contact between an elastic curve and a narrow environment with rigid walls. Our goal is to provide fast and accurate simulations of endoscopic procedures.
[02324] The velocity-based formulation for static and dynamic analysis of non-linear three-dimensional frames
Format : Talk at Waseda University
Author(s) :
Dejan Zupan
Sudhanva Kusuma Chandrashekhara (Unversity of Ljubljana)
Eva Zupan (University of Ljubljana)
Abstract : The choice of primary interpolated variables is highly important in numerical formulations of three-dimensional frame-like structures. The crucial idea exploited in our approach is to employ velocities and angular velocities as the primary unknowns, which enables us the use of standard additive interpolation without violating the properties of configuration space. The main advantage of the proposed solution method is in its simplicity, robustness and long-term stability.
[02419] Half-explicit time integration of constrained mechanical systems on Lie groups
Format : Online Talk on Zoom
Author(s) :
Martin Arnold (Martin Luther University Halle-Wittenberg)
Abstract :
Recently, there has been new interest in the local coordinates approach to Lie group time integration. The present paper contributes a novel half-explicit Lie group integrator to this field of research. This half-explicit integrator combines an explicit Runge-Kutta Munthe-Kaas method with the index-2 formulation of the equations of motion for constrained mechanical systems. We construct methods of order up to $p=5$ and illustrate their favourable properties by numerical test results.
[02155] Frequency-dependent damping as forcing on multisymplectic integrators
Format : Online Talk on Zoom
Author(s) :
Rodrigo Takuro Sato Martín de Almagro (FAU - Lehrstuhl für Technische Dynamik)
Sigrid Leyendecker (FAU - Lehrstuhl für Technische Dynamik)
Abstract : Multisymplectic integrators are geometric integration methods with interesting conservation properties. However, for the temporal integration of flexible structures it may be desirable to dampen high-frequency modes. In this talk we propose a simple frequency-dependent damping model which can be considered as additional forcing. We implement it together with multisymplectic integrators and compare its performance with the generalized alpha method, a popular numerical method for this application due to its frequency-dependent numerical damping.
