Non-rigid variation simulation using the Sherman-Morrison-Woodbury formulas
Paper i proceeding, 2017

Variation simulation is one important activity during early product development. It is used to simulate the statistical distribution of assemblies or sub assemblies in intended manufacturing process to assure that assembly, function and aesthetical properties comply with the requirements set. In non-rigid variation simulation, components or sub assemblies can deform during assembly. To simulate non-rigid variation the Method of Influence Coefficient (MIC) is typically used. Solving the necessary sensitivity matrices used by MIC is time consuming. In this article we will apply the Sherman-Morrison and Woodbury formula (SMW) for updating the sensitivity response in the different assembly steps. It is shown that SMW can lead to substantial saving in computation time, when compared to the standard MIC.

variation simulation

method of influence coefficient

Sherman-Morrison-Woodbury formula

Författare

Samuel C Lorin

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

Björn Lindau

Volvo Cars

Lars Lindkvist

Chalmers, Produkt- och produktionsutveckling, Produktutveckling

Rikard Söderberg

Industri- och materialvetenskap

PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION

Vol. 2 UNSP V002T02A111-1

ASME International Mechanical Engineering Congress and Exposition
Tampa, USA,

Ämneskategorier

Produktionsteknik, arbetsvetenskap och ergonomi

Teknisk mekanik

Övrig annan teknik

DOI

10.1115/IMECE2017-71456