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Topology optimization of frame structures with flexible joints
Volvo Car Corp., Göteborg, Sweden.
Volvo Technology Corp., Göteborg, Sweden.
Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.
2003 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 25, no 3, 199-214 p.Article in journal (Refereed) Published
Abstract [en]

A method for structural topology optimization of frame structures with flexible joints is presented. A typical frame structure is a set of beams and joints assembled to carry an applied load. The problem considered in this paper is to find the stiffest frame for a given mass. By introducing design variables for beams and joints, a mass distribution for optimal structural stiffness can be found. Each beam can have several design variables connected to its cross section. One of these is an area-type design variable which is used to represent the global size of the beam. The other design variables are of length ratio type, controlling the cross section of the beam. Joints are flexible elements connecting the beams in the structure. Each joint has stiffness properties and a mass. A framework for modelling these stiffnesses is presented and design variables for joints are introduced. We prove a theorem which can be interpreted as the fact that the removal of structural elements, e.g. joints or beams, can be modelled by a small strictly positive material amount assigned to the element. This is needed for the computations of sensitivities used in the applied gradient based iterative method. Both two and three dimensional problems, as well as multiple load cases and multiple mass constraints, are treated.

Place, publisher, year, edition, pages
2003. Vol. 25, no 3, 199-214 p.
Keyword [en]
Flexible joints, Frame structures, Joint modelling, Topology optimization
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46540DOI: 10.1007/s00158-003-0281-zOAI: oai:DiVA.org:liu-46540DiVA: diva2:267436
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-05-15
In thesis
1. Topology optimization of vehicle body structures: method, theory and applications
Open this publication in new window or tab >>Topology optimization of vehicle body structures: method, theory and applications
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This dissertation is concerned with topology optimization of vehicle body structures.

The first part of this thesis gives a summary of the research project. A design process for complex mechanical structures is presented. This design process includes an optimization step where simplified models are optimized. These simplified models are frame structures consisting of beams and joints. Joints are modelled as a collection of sub-elements to support for a topological change during optimization. Parameterization of beams and joint is also presented and design variables are introduced.

An application of this frame topology optimization method, concerning a vehicle body structure, is presented.

Two extensions to the theory are also presented. First, the possibility to penalize joints to support for easily realizable results is presented. This is followed by a two-material interpolation that introduces the possibility of using a mixed material structure.

This introductory part is followed by five appended papers produced within the framework of this research.

Abstract [sv]

Denna doktorsavhandling behandlar topologioptimering av fordonskarosser.

Första delen i avhandlingen ger en summering av forskningsprojektet. En produktutvecklingsprocess för komplexa mekaniska system presenteras. Denna process innefattar ett optimeringssteg där förenklade modeller optimeras. Dessa förenklade modeller är modellerade som ramstrukturer baserade på balkar och knutar. Knutarna är modellerade m.h.a. en uppsättning delelement för att möjliggöra en topologisk ändring under optimimeringsprocessen. Även balkars och knutars parameterisering och designvariabler beskrivs i den inledande delen. En tillämpning av topologioptimering får ramar presenteras på en fordonskarossmodell. Två utvecklingar av teorin gås också igenom. Först beskrivs möjligheten att tillämpa knutstraff vilket möjliggör skapandet av mer realiserbara modeller. Detta efterföljs av en tvåmaterialinterpolering vilken introducerar möjligheten att generera strukturer med optimalt materialval. Slutligen identifieras framtida forskning inom området.

Den inledande delen följs sedan av fem artiklar vilka har genererats under projektets gång.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2004. 43 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 885
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-22915 (URN)2270 (Local ID)91-7373-979-0 (ISBN)2270 (Archive number)2270 (OAI)
Public defence
2004-09-09, Sal C3, Hus C, Linköping Universitet, Linköping, 10:15 (Swedish)
Opponent
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-01-23
2. Topology optimization of vehicle structures
Open this publication in new window or tab >>Topology optimization of vehicle structures
2004 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns topology optimization of vehicle structures. Vehicle structures are considered to be composed of beams joined together and the work has been focused on a method for beam topology optimization including joints.

The method presented has been implemented in Matlab and simple examples as well as more realistic applications have been studied. The research work is presented in four papers.

Paper I presents beam topology opt imization with flexible joints. Design variables on beam cross sectional geometries and joint properties are introduced. A generic joint element is formulated in order to do topology optimization and the compliance topology optimization problem is described and solved.

Paper II is an extension of Paper I where the joints are more general with stiffness properties in different directions. The paper introduces also a way to find joint stiffness for the generic joints.

Paper III is a short application paper where a bus structure is optimized using the method presented in Paper l and II.

Paper IV, finally, presents an approach to optimize a frame structure with regard to cost as well as for compliance and mass as in previous papers. This multi-attribute optimization method is applied to a ten beam structure and to a larger application example.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2004. 6 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1088
Series
Linköping studies in science and technology. Thesis, 148
Keyword
topology optimization, frame structure, vehicle structure, flexible joint
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-22919 (URN)2274 (Local ID)91-7373-942-1 (ISBN)2274 (Archive number)2274 (OAI)
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-11-12

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Fredricson, HaraldKlarbring, AndersPetersson, Joakim

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