A Ground Structure Method to Minimize the Total Installed Cost of Steel Frame Structures
This paper presents a ground structure method to optimize the topology and discrete member sizing of steel frame structures in order to minimize total installed cost, including material, fabrication and erection components. The proposed method improves upon existing cost-based ground structure methods by incorporating constructability considerations well as satisfying both strength and serviceability constraints. The architecture for the method is a bi-level Multidisciplinary Feasible (MDF) architecture in which the discrete member sizing optimization is nested within the topology optimization process. For each structural topology generated, the sizing optimization process seek to find a set of discrete member sizes that result in the lowest total installed cost while satisfying strength (member utilization) and serviceability (node deflection and story drift) criteria. To accurately assess cost, the connection details for the structure are generated automatically using accurate site-specific cost information obtained directly from fabricators and erectors. Member continuity rules are also applied to each node in the structure to improve constructability. The proposed optimization method is benchmarked against conventional weight-based ground structure optimization methods resulting in an average cost savings of up to 30% with comparable computational efficiency.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1315821Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 847
 J. Agte, O. de Weck, J. Sobieszczanski-Sobieski, P. Arendsen, A. Morris, and M. Spieck, MDO: assessment and direction for advancement - an opinion of one international group, Structural and Multidisciplinary Optimization(2010) 40:17-33.
 Dorn W. S., et al., Automatic Design of Optimal Structures, Journal de Mecanique, 1964, 3(1): p. 25-52.
 Liang, Q. Q., Xie, Y. M., Steven, G.P., Optimal Topology Design of Bracing Systems for Multistory Steel Frames, J. Struct. Engrg. (2000) 126(7) pp823-829.
 L. L. Stromberg, A. Beghini, W. F. Baker, G. H. Paulino Topology Optimization For Braced Frames: Combining Continuum and Beam/Column Elements, Engineering Structures 37 (2012) 106-124.
 R. Baldock et al.,Evolving Optimized Braced Steel Frameworks for Tall Buildings Using Modified Pattern Search, Computing in Civil Engineering (2005).
 Paulson, B. C., Designing to reduce construction costs, Journal of the Construction Division, 1976. 102(4): p.587-592.
 W. Tang, L. Tong, Y. Gu, Improved Genetic Algorithm for Design Optimization of Truss Structures with Sizing, Shape and Topology Variables, Int. J. Numer. Meth. Engng 2005; 62:1737-1762.
 S.D. Rajan, Sizing, Shape and Topology Design Optimization of Trusses Using Genetic Algorithm, Journal of Structural Engineering/ October 1995/ 1480-1487.
 K. Deb, S. Gulati, Design of truss-structures for minimum weight using genetic algorithms, Finite Elements in Analysis and Design 37 (2001) 447-465.
 Achtziger W. and Stolpe M., Truss topology optimization with discrete design variables Guaranteed global optimality and benchmark examples, Struct Multidisc Optim (2007) 34, 1-20.
 T. Zegard, G.H. Paulino, GRAND - Ground structure based topology optimization for arbitrary 2D domains using MATLAB, Struct Multidisc Optim (2014) 50:861-882.
 A. Asadpoure, J. K. Guest, L. Valdevit, Incorporating fabrication cost into topology optimization of discrete structures and lattices, Struct Multidisc Optim (2015) 51:385-396.
 P. Havelia, A Ground Structure Method to Optimize Topology and Sizing of Steel Frame Structures to Minimize Material, Fabrication and Erection Cost, M.Eng. Thesis, Stanford University, 2016.
 S.Kodiyalam and J.Sobieski, Multidisciplinary Design Optimization - Some Formal Methods, Framework Requirements, and Application to Vechicle Design, Int. J. Vehicle Design, Vol.25, Nos , Special Issue, 2001.
 C. D. Barrar, Structural Optimization Using the Principle of Virtual Work and an Analytical Study on Metal Buildings, M.S. Thesis, Virginia Polytechnic Institute, 2009.