Title

Variational Analysis of a Two Link Slider-Crank Mechanism Using Polynomial Chaos Theory

Document Type

Conference Proceeding

Language

eng

Publication Date

8-6-2017

Publisher

American Society of Mechanical Engineers

Source Publication

ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

Source ISSN

9780791858172

Abstract

Variation occurs in many closed loop multi-body dynamic (MBD) systems in the geometry, mass, or forces. Understanding how MBD systems respond to variation is imperative for the design of a robust system. However, simulation of how variation propagates into the solution is complicated as most MBD systems cannot be simplified into to a system of ordinary differential equations (ODE). This paper investigates polynomial chaos theory (PCT) as a means of quantifying the effects of uncertainty in a closed loop MBD system governed by differential algebraic equations (DAE). To demonstrate how PCT could be used, the motion of a two link slider-crank mechanism is simulated with variation in the link lengths. To validate and show the advantages and disadvantages of PCT in closed loop MBD systems, the PCT approach is compared to Monte Carlo simulations.

Comments

Published as a part of ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 5A: 41st Mechanisms and Robotics Conference. Cleveland, Ohio, USA, August 6–9, V05AT08A0262017. DOI.

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