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Discrete time variational mechanics of multidomain systems: Applications to coupled electronic, hydraulic, and multibody systems
Umeå University, Faculty of Science and Technology, Department of Physics.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Today there exist few non-smooth multi-domain simulation tools using time-discretized Lagrangian mechanics for circuits.The main goal is to show that itis possible to use a semi-implicit, parameter free non-smooth variational timestepper to simulate the circuits with time-steps proportional to the system timescales.This is demonstrated by implementing and performing extensive numericaltests for various types of electrical, mechanical and hydraulic components anddemonstrate that the components are stable, with the correct behavior whenthe system is solved using a modified block pivot solver.Simulation results shows that piecewise linear models are enough for thesimple switching circuits in this thesis.

Abstract [sv]

Idag finns det få simulatorer för icke-släta multidomän kretsar som bygger på tidsdiskretisering av Lagranges ekvationer.

Huvudmålet är att visa att det är möjligt att använda en semi-implicit, parameter fri icke-slät diskret lösare för att simulera kretsar med tidssteg proportionella mot systemens tidsskalor.

Detta visas genom att implementera olika typer av elektriska, mekaniska och hydrauliska komponenter samt att visa att komponenterna är stabila och har rätt beteende när systemet simuleras av en modifierad block pivot lösare.

Simulerings resultaten visar att icke-släta Newton metoder med styckvis-linjära komponenter och komplementära villkor är tillräkligt för att simulera brytande komponponenter i de simulerande kretsarna.

Place, publisher, year, edition, pages
2012. , 179 p.
National Category
Other Physics Topics Other Computer and Information Science Mathematics Discrete Mathematics
URN: urn:nbn:se:umu:diva-61701OAI: diva2:571583
Subject / course
Examensarbete i teknisk fysik
Educational program
Master of Science Programme in Engineering Physics
2012-11-09, Universitetsklubben, Umeå universitet, 901 87 Umeå, Umeå, 11:00 (English)
Physics, Chemistry, Mathematics
Available from: 2012-11-26 Created: 2012-11-23 Last updated: 2012-11-26Bibliographically approved

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Other Physics TopicsOther Computer and Information ScienceMathematicsDiscrete Mathematics

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