Peter Betsch

Learn More
In this paper the results in [S. Leyendecker, P. Betsch, P. Steinmann, Energy-conserving integration of constrained Hamiltonian systems—a comparison of approaches, Comput. Mech. 33 (2004) 174–185] are extended to geometrically exact beams. The finite element formulation for nonlinear beams in terms of directors, providing a framework for the objective(More)
The present work aims at the incorporation of servo (or control) constraints into finite-dimensional mechanical systems subject to holonomic constraints. In particular, we focus on underactuated systems, defined as systems in which the number of degrees of freedom exceeds the number of inputs. The corresponding equations of motion can be written in the form(More)
Dynamic contact problems in elasticity are dealt with in the framework of nonlinear finite element methods. To this end, the mortar method is applied to take into account the constraint of impenetrability. A new energy-momentum conserving time-stepping scheme for the mortar contact formulation is presented. The proposed method relies on a reparametrization(More)
The development of complex simulation programs within a team of researchers requires not only knowledge of the underlying mechanics and the associated algorithms, but also a detailed planning of the interfaces within the program. In particular, an object oriented framework, used for the implementation in Matlab as well as in C++ and the combination thereof(More)
Noether’s theorem provides deep insight into the connection between analytical mechanics and the integrals of dynamic systems, specifically, showing how symmetries of the action integral are connected the integrals of motion. To demonstrate Noether’s theorem, the harmonic oscillator is often used as a simple example problem. Presentations in the literature,(More)
The present work deals with continuum mechanical considerations for deformable and rigid solids as well as for fluids. A common finite element framework is used to approximate all systems under considerations. In particular, we present a standard displacement based formulation for the deformable solids and make use of this framework for the transition of(More)
  • 1