caa a22 4500 463243900 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s00158-006-0043-9 doi (NATIONALLICENCE)springer-10.1007/s00158-006-0043-9 Growth method for size, topology, and geometry optimization of truss structures [Elektronische Daten] [P. Martínez, P. Martí, O. Querin] The problem of optimally designing the topology of plane trusses has, in most cases, been dealt with as a size problem in which members are eliminated when their size tends to zero. This article presents a novel growth method for the optimal design in a sequential manner of size, geometry, and topology of plane trusses without the need of a ground structure. The method has been applied to single load case problems with stress and size constraints. It works sequentially by adding new joints and members optimally, requiring five basic steps: (1) domain specification, (2) topology and size optimization, (3) geometry optimization, (4) optimality verification, and (5) topology growth. To demonstrate the proposed growth method, three examples were carried out: Michell cantilever, Messerschmidt-Bölkow-Blohm beam, and Michell cantilever with fixed circular boundary. The results obtained with the proposed growth method agree perfectly with the analytical solutions. A Windows XP program, which demonstrates the method, can be downloaded from http://www.upct.es/~deyc/software/tto/ . Springer-Verlag, 2006 Optimal design of trusses nationallicence Growth methods nationallicence Size optimization nationallicence Geometry optimization nationallicence Topology optimization nationallicence Stress constraints nationallicence Martínez P. Structures and Construction Department, Technical University of Cartagena, Campus Muralla del Mar, Cartagena, 30202, Murcia, Spain aut Martí P. Structures and Construction Department, Technical University of Cartagena, Campus Muralla del Mar, Cartagena, 30202, Murcia, Spain aut Querin O. School of Mechanical Engineering, The University of Leeds, LS2 9JT, Leeds, UK aut Structural and Multidisciplinary Optimization Springer-Verlag 33/1(2007-01-01), 13-26 1615-147X 33:1<13 2007 33 158 https://doi.org/10.1007/s00158-006-0043-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0043-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Martínez P. Structures and Construction Department, Technical University of Cartagena, Campus Muralla del Mar, Cartagena, 30202, Murcia, Spain aut NATIONALLICENCE 700 1- Martí P. Structures and Construction Department, Technical University of Cartagena, Campus Muralla del Mar, Cartagena, 30202, Murcia, Spain aut NATIONALLICENCE 700 1- Querin O. School of Mechanical Engineering, The University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/1(2007-01-01), 13-26 1615-147X 33:1<13 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer