Multi-constrained optimization of reticulated shells and spatial trusses

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Nyilvántartási szám: 
23/02
Témavezető neve: 
Témavezető e-mail címe:
logo.janos@emk.bme.hu
A témavezető teljes publikációs listája az MTMT-ben:
A téma rövid leírása, a kidolgozandó feladat részletezése: 
Structural optimization is a powerful design tool to sketch lightweight components searching the design domain for the layout of material that minimizes a prescribed objective function, given a set of constraints. Size, shape, and topology optimization are extensively exploited in many branches of engineering, including applications in civil engineering and construction industry [1]. In these fields, techniques of large-scale additive manufacturing are well-suited to bring optimal layouts from concept to reality, since they considerably reduce restrictions imposed by traditional manufacturing techniques. However, peculiar features of the printing process should be accounted for, as well as constraints on the material strength and the prescribed structural performances [2].
In this research attention will be directed to the optimization of reticulated shells and spatial trusses, combining the force density method along with techniques of sequential convex programming. The former is a viable approach to handle the equilibrium of the loaded nodes of any spatial networks in terms of the ratio force to length in each branch [3]. The latter is an effective tool to solve multi-constrained problems of structural optimization, especially when used in conjunction with augmented Lagrangian approaches [4].
A classical formulation of optimization for elastic structures consists in the minimization of the structural compliance for a given amount of material. In this research this formulation will be endowed with additional sets of constraints to avoid structural collapse, due to yielding and buckling, and to meet geometric/manufacturing prescriptions. While yielding can be straightforwardly avoided by means of constraints at a local level, i.e. controlling the magnitude of the force in each branch [5], buckling must be carefully prevented considering both local and global instability. When a topology optimization problem is considered, i.e. when form-finding is coupled to the research of an optimal distribution of possibly vanishing cross-sections, singularity issues must be taken into account. Moreover, nodal instability may occur [6]. Suitable approaches will be tested to control the structural behavior in compression, mainly relying on energy-based methods [7] or eigenvalue-based approaches [8]. A standard optimization setting with continuous minimization variables will be considered. Suitable manufacturing constraints will be addressed to enforce limitations concerning the geometry of the design domain and/or the set of minimization variables. In more detail, the adoption of projection techniques will be considered to accommodate a discrete set of cross-sections, for instance related to a selection of available profiles or to the adoption of a given nozzle in additive manufacturing. 
The equilibrium will be investigated at first in the case of deterministic loading. The effect of probabilistic loads will be considered using Monte Carlo simulation, first order (FORM), second order (SORM, ) approaches and ad hoc formulations which allow to control the probability of failure through equivalent deterministic constraints [9,10, 11].  
A téma meghatározó irodalma: 
[1] Adriaenssens, S., Block, P., Veenendaal, D., & Williams, C. (2014). Shell structures for architecture: Form finding and optimization. Shell structures for architecture: Form finding and optimization. Taylor and Francis
[2] Wu, P., Wang, J., & Wang, X. (2016). A critical review of the use of 3-D printing in the construction industry. Automation in Construction, 68, 21-31
[3] Ohsaki, M., & Hayashi, K. (2017). Force density method for simultaneous optimization of geometry and topology of trusses. Structural and Multidisciplinary Optimization, 56(5), 1157-1168
[4] Giraldo-Londoño, O., & Paulino, G. H. (2021). PolyStress: A matlab implementation for local stress-constrained topology optimization using the augmented lagrangian method. Structural and Multidisciplinary Optimization, 63(4), 2065-2097
[5] Bruggi, M., Laghi, V., & Trombetti, T. (2023). Stress-based form-finding of gridshells for wire-and-arc additive manufacturing considering overhang constraints. Engineering Structures
[6] Descamps, B., & Filomeno Coelho, R. (2014). The nominal force method for truss geometry and topology optimization incorporating stability considerations. International Journal of Solids and Structures, 51(13), 2390-2399.
[7] Jiang, Y., Zegard, T., Baker, W. F., & Paulino, G. H. (2018). Form-finding of grid-shells using the ground structure and potential energy methods: A comparative study and assessment. Structural and Multidisciplinary Optimization, 57(3), 1187-1211
[8] Torii, A. J., Lopez, R. H., & Miguel, L. F. F. (2015). Modeling of global and local stability in optimization of truss-like structures using frame elements. Structural and Multidisciplinary Optimization, 51(6), 1187-1198
[9] Lógó, J. (2007). New type of optimality criteria method in case of probabilistic loading conditions. Mechanics Based Design of Structures and Machines, 35(2), 147-162
[10] Bruggi, M., Ismail, H., & Lógó, J. (2023). Topology optimization with graded infill accounting for loading uncertainty. Composite Structures, 311
A téma hazai és nemzetközi folyóiratai: 
1. ADVANCES IN ENGINEERING SOFTWARE 
2. COMPUTERS & STRUCTURES
3. MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
4. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
5. PERIODICA POLYTECHNICA-CIVIL ENGINEERING
A témavezető utóbbi tíz évben megjelent 5 legfontosabb publikációja: 
1. Tauzowski, P. ; Blachowski, B. ; Lógó, J.
Functor-oriented topology optimization of elasto-plastic structures
ADVANCES IN ENGINEERING SOFTWARE 135  Paper: 102690 , 11 p. (2019)
2. Bence, Balogh ; Matteo, Bruggi ; Janos, Logo
Optimal design accounting for uncertainty in loading amplitudes: A numerical investigation
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES 46 : 5 pp. 552-566. , 15 p. (2018)
3. János, Lógó ; Bence, Balogh ; Erika, Pintér
Topology Optimization Considering Multiple Loading
COMPUTERS & STRUCTURES 207 pp. 233-244. , 12 p. (2018)
4. Bruggi, Matteo ✉ ; Ismail, Hussein ; Lógó, Janos ; Paoletti, Ingrid
Lightweight design with displacement constraints using graded porous microstructures
COMPUTERS & STRUCTURES 272 Paper: 106873 , 19 p. (2022)
5. Bruggi, Matteo ; Ismail, Hussein ; Lógó, János
Topology optimization with graded infill accounting for loading uncertainty
COMPOSITE STRUCTURES 311 Paper: 116807 (2023)
A témavezető fenti folyóiratokban megjelent 5 közleménye: 
1. A, Csébfalvi ; J, Lógó
A critical analysis of expected-compliance model in volume-constrained robust topology optimization with normally distributed loading directions, using a minimax-compliance approach alternatively
ADVANCES IN ENGINEERING SOFTWARE 120 pp. 107-115. , 9 p. (2018)
2. János, Lógó ; Bence, Balogh ; Erika, Pintér
Topology Optimization Considering Multiple Loading
COMPUTERS & STRUCTURES 207 pp. 233-244. , 12 p. (2018)
3. Blachowski, B. , Tauzowski, P. ; Lógó, J.
Yield Limited Optimal Topology Design of Elasto-Plastic Structures
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 61, 1953-1976 (2020) (DOI: 10.1007/s00158-019-02447-9)
4. Logo, J
New type of optimality criteria method in case of probabilistic loading conditions
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES 35 : 2 pp. 147-162. , 16 p. (2007)
5. Pintér, Erika ; Lengyel, András ; Lógó, János
Structural Topology Optimization with Stress Constraint Considering Loading Uncertainties
PERIODICA POLYTECHNICA-CIVIL ENGINEERING 59 : 4 pp. 559-565. , 7 p. (2015)
Hallgató: 

A témavezető eddigi doktoranduszai

Balogh Bence (2014/2017/)
Pintér Erika (2012/2015/2019)
Merczel Dániel Balázs (2010/2013/2015)
Mohsen Ghaemi (2003//2010)
Movahedi Rad Majid (2007//2011)
Ismail Hussein (2020/2024/2024)
Tóth Bálint (2023//)
Ismail Hussein (2020/2024/2024)
Tóth Bálint (2023//)
Státusz: 
elfogadott