TY - GEN

T1 - Efficient model order reduction for the nonlinear dynamics of jointed structures by the use of trial vector derivatives

AU - Witteveen, Wolfgang

AU - Pichler, Florian

N1 - Funding Information:
This project was supported by the program “Regionale Wettbewerbsfähigkeit OÖ 2010–2013”, which is financed by the European Regional Development Fund and the Government of Upper Austria.
Publisher Copyright:
© The Society for Experimental Mechanics, Inc. 2014.

PY - 2014

Y1 - 2014

N2 - The dynamic response of a structure, which consists of jointed substructures, may be influenced by the nonlinear contact and friction forces inside the joints, even if the deformations are small. In case of joints with a large spatial distribution, like in car bodies or leaf springs, these nonlinearities dominate the overall system behavior. The use of the direct finite element method or a standard model order reduction technique leads to either huge computational costs or inaccurate results. So called ‘Joint Interface Modes’ (JIMs) overcome that problem. They represent a problem oriented extension of classical trial vectors for structures with bolted joints, spot welded seems and similar joints. The result quality is comparable to that one of a direct finite element analysis without losing the efficiency of model order reduction. In this paper a new approach for the computation of such JIMs is presented. The approach is based on so called trial vector derivatives which will be outlined in the theory part of the paper. At the end of the paper, the theory is applied to a static and dynamic example in order to underline the methods accuracy and efficiency.

AB - The dynamic response of a structure, which consists of jointed substructures, may be influenced by the nonlinear contact and friction forces inside the joints, even if the deformations are small. In case of joints with a large spatial distribution, like in car bodies or leaf springs, these nonlinearities dominate the overall system behavior. The use of the direct finite element method or a standard model order reduction technique leads to either huge computational costs or inaccurate results. So called ‘Joint Interface Modes’ (JIMs) overcome that problem. They represent a problem oriented extension of classical trial vectors for structures with bolted joints, spot welded seems and similar joints. The result quality is comparable to that one of a direct finite element analysis without losing the efficiency of model order reduction. In this paper a new approach for the computation of such JIMs is presented. The approach is based on so called trial vector derivatives which will be outlined in the theory part of the paper. At the end of the paper, the theory is applied to a static and dynamic example in order to underline the methods accuracy and efficiency.

KW - Interface reduction

KW - Jointed structures

KW - Lap joints

KW - Model reduction

UR - http://www.scopus.com/inward/record.url?scp=84988711992&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-04501-6_13

DO - 10.1007/978-3-319-04501-6_13

M3 - Conference contribution

SN - 9783319007700

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 147

EP - 155

BT - Dynamic Behavior of Materials - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics

PB - Springer

T2 - 32nd IMAC Conference and Exposition on Structural Dynamics, 2014

Y2 - 3 February 2014 through 6 February 2014

ER -