Implicit Geometry with Multi-Dimensional Bisection Method
In the proposed talk an efficient root finding algorithm is presented through engineering applications, which are formed as implicit non-linear equation systems.
Multi-Dimensional Bisection Method (MDBM.jl) is an efficient and robust root-finding package, which can be used to determine whole high-dimensional submanifolds (points, curves, surfaces…) of the roots of implicit non-linear equation systems, especially in cases, where the number of unknowns surpasses the number of equations.
Engineering application will be presented from the different fields
- determination of the workspace of a robot arm with collision avoidance
- stability (stabilizability) chart computations
- constrained parameter optimisation
Daniel Bachrathy
Workplace
- 2014- Assistant professor at Budapest University of Technology and Economics, Department of Applied Mechanics
Education
- 2006 – 2013 PhD Programme
Budapest University of Technology and Economics, Department of Applied Mechanics
Research topic: Cutting dynamics and surface quality - 2001 – 2006 Mechanical Engineer
Interests
- Professional: Stability, Time-Delay, Machining, Dynamics, Vibration
- Hobbies: American Football player, 3D computer graphics, Arduino Project, 3D printing, travelling, photography