Implicit Geometry with Multi-Dimensional Bisection Method
2019-07-25 , Elm B

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


Co-authors

Henrik Sykora

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