References
- Amzallag , C. 1994 . Standardization of the rainflow counting method for fatigue analysis . International Journal of Fatigue , 16 ( 4 ) : 287 – 293 . (doi:10.1016/0142-1123(94)90343-3)
- Bannantine , J. A. , Corner , J. J. and Handrock , J. L. 1990 . Fundamentals of metal fatigue analysis , Upper Saddle River , NJ : Prentice Hall .
- Barkey , M. 2002 . LMS FALANCS theory manual , Kaiserslautern , , Germany : LMS International .
- Brown , M. and Miller , K. 1973 . A theory for fatigue failure under multiaxial stress–strain conditions . Proceedings of the Institute of Mechanical Engineers , 187 ( 65 ) : 745 – 755 .
- Craig , R. and Bampton , M. 1968 . Coupling of substructures for dynamic analyses . AIAA Journal , 6 ( 7 ) : 1313 – 1319 . (doi:10.2514/3.4741)
- Craig , R. and Kurdila , A. 2006 . Fundamentals of structural dynamics , New York : Wiley .
- Dietz , S. 1999 . Vibration and fatigue analysis of vehicle systems using component modes , Düsseldorf , , Germany : VDI-Verlag . Fortschritt-Berichte VDI, Reihe 12 (Process Engineering/Vehicle Engineering), Nr. 401.
- Dietz , S. , Wallrapp , O. and Wiedemann , S. Nodal vs. modal representation in flexible multibody system dynamics . Multibody Dynamics 2003: Proceedings of ECCOMAS thematic conference on advances in computational multibody dynamics . July 1–4 , Lisbon , Portugal. Edited by: Ambrosio , J. A.C. Lisbon : APMTAC .
- Eichberger , A. and Dietz , S. 2004 . “ Fatigue analysis on a virtual test rig based on multi-body simulation ” . In Multi-body dynamics – monitoring and simulation techniques , Edited by: Rahnejat , H. and Rothberg , S. Vol. III , 73 – 82 . New York : Wiley . Part I, Chap. 6.
- Fembs . 2010 . Simpack reference guide, Fembs, Simpack Release 8.904 , Wessling , , Germany : Simpack AG .
- Fischer , P. , Witteveen , W and Schabasser , M. Integrated MBS–FE–durability analysis of truck frame components by modal stresses . ADAMS user meeting . November 15–17 , Rome . Santa Ana , CA : MSC Software Corp .
- Gaier , C. , Pramhas , G. and Steiner , W. An extended critical plane criterion for general load situations . June 3–7 2002 , Stockholm , Sweden. Proceedings of the 8th international fatigue congress , Edited by: Anders , Blom F. Beijing : Higher Education Press .
- Goodman , J. 1899 . Mechanics applied to engineering , London : Longmans & Co. .
- Harzheim , L. 2008 . Strukturoptimierung – Grundlagen und Anwendungen , Frankfurt , , Germany : Harri Deutsch . (in German).
- Haslinger , J. and Mäkinen , R. 2003 . Introduction to shape optimization: theory, approximation and computation , Philadelphia , PA : Society for Industrial and Applied Mathematics .
- Häußler , P. 2005 . Ein neuer Prozess zur parameterfreien Formoptimierung dynamisch beanspruchter Bauteile in mechanischen Systemen auf Basis von Lebensdaueranalysen und hybriden Mehrkörpersystemen , Vol. 20 , Karlsruhe , , Germany : Forschungsberichte aus dem Institut für Produktentwicklung und Konstruktion, Universität Karlsruhe . (in German).
- Häußler , P. and Albers , A. 2005 . Shape optimization of structural parts in dynamic mechanical systems based on fatigue calculations . Structural and Multidisciplinary Optimization , 29 : 361 – 373 . (doi:10.1007/s00158-004-0475-z)
- Heißing , B. and Ersoy , M. 2008 . Fahrwerkhandbuch – Grundlagen, Fahrdynamik, Komponenten, Systeme, Mechatronik, Perspektiven , Wiesbaden , , Germany : Vieweg + Teubner . (in German).
- Ilzhöfer , B. Shape optimization based on lifetime prediction measures . Proceedings of the 13th international conference on engineering design . August 21–23 2001 , Glasgow , UK. Edited by: Culley , S. London : Professional Engineering Publishing .
- Lehner , M. and Eberhard , P. 2007 . A two-step approach for model reduction in flexible multibody dynamics . Multibody System Dynamics , 17 ( 2-3 ) : 157 – 176 . (doi:10.1007/s11044-007-9039-5)
- Martini , K. and Tobias , C. Shape optimization of a steering system based on fatigue analysis . Proceedings of the 2nd international conference on engineering optimization . September 6–9 2010 , Lisbon , Portugal. Edited by: Rodrigues , H. Lisbon : APMTAC . Paper-ID 1057: 10pp.
- Mathworks . 2007 . Matlab, product help, Matlab release 2007b , Natick , MA : Mathworks Inc. .
- Matsuishi , M. and Endo , T. Fatigue of metals subjected to varying stress . Paper presented to the Japanese society of mechanical engineers . Fukuoka , Japan.
- Meske , R. , Sauter , J. and Schnack , E. 2005 . Nonparametric gradient-less shape optimization for real-world applications . Structural and Multidisciplinary Optimization , 30 : 201 – 218 . (doi:10.1007/s00158-005-0518-0)
- Miner , M. A. 1945 . Cumulative damage in fatigue . Journal of Applied Mechanics , 12 : A159 – A164 .
- Nastran . 2009 . Nx Nastran user guide, version 7.0 , Plano , TX : Siemens PLM Software Inc. .
- Pro/Engineer . 2008 . Pro/ENGINEER documentation, Wildfire 4.0 , Needham , MA : PTC (Parametric Technology Corporation .
- Rulka , W. 1998 . “ Effiziente Simulation der Dynamik mechantronischer Systeme für industrielle Anwendungen (in German) ” . Department of Mechanical Engineering, Vienna University of Technology . Thesis (PhD).
- Sauter , J. Beanspruchungsminimierung von Bauteilen durch Gestaltoptimierung mit biologischer Intelligenz (in German) . Tagungsband zum ANSYS user meeting . October 23–25 , Bamberg , Germany. Darmstadt , , Germany : ANSYS, Inc. .
- Schiehlen , W. 2007 . Recent trends in multibody system dynamics . Multibody System Dynamics , 18 ( 1 ) : 3 – 13 . (doi:10.1007/s11044-007-9064-4)
- Schiehlen , W. and Eberhard , P. 2004 . Technische Dynamik – Modelle für Regelung und Simulation , Wiesbaden , , Germany : Teubner . (in German).
- Schnack , E. , Spörl , U. and Iancu , G. 1988 . Gradientless shape optimization with FEM , Düsseldorf , , Germany : VDI-Verlag . Forschungsheft VDI, Nr. 647.
- Schwertassek , R. and Wallrapp , O. 1999 . Dynamik flexibler Mehrkörpersysteme , Braunschweig , , Germany : Vieweg . (in German).
- Shabana , A. 1991 . “ Theory of vibration ” . In Discrete and continuous systems , Vol. II , New York : Springer .
- Simpack . 2010 . Simpack reference guide, Simpack release 8.904 , Wessling , , Germany : Simpack AG .
- Tobias , C. and Eberhard , P. Durbility-based topology optimization of a steering system . Proceedings of the 8th world congress on structural and multidisciplinary optimization . June 1–5 2009 , Lisbon . Edited by: Rodrigues , H. pp. 10pp Lisbon , , Portugal : APMTAC .
- Tobias , C. and Eberhard , P. 2011 . Stress recovery with Krylov-subspaces in reduced elastic multibody systems . Multibody System Dynamics , 25 ( 4 ) : 377 – 393 . (doi:10.1007/s11044-010-9239-2)
- Tosca . 2009 . Tosca structure general documentation, revision 6.2.1 , Karlsruhe , , Germany : FE-Design GmbH .
- Virtual. Lab . 2010 . LMS Virtual.Lab online help, Rev9-SL1 , Leuven , , Belgium : LMS International .
- Wallrapp , O. 1994 . Standardization of flexible body modeling in multibody system codes. Part I. Definition of standard input data . Mechanics of Structures and Machines , 22 ( 3 ) : 283 – 304 . (doi:10.1080/08905459408905214)
- Wallrapp , O. 2004 . Review of past developments in multibody system dynamics at DLR – from Fadyna to Simpack . Vehicle System Dynamics , 41 ( 5 ) : 339 – 348 . (doi:10.1080/00423110412331300327)
- ZF Lenksysteme GmbH . 2010 . ZF Servolectric® electric power steering system for passenger cars and light commercial vehicles [online]. Available from: http://www.zf-lenksysteme.com [Accessed 19 July 2011].