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EFFECTS OF STRUCTURAL OPTIMIZATION ON PRACTICAL ROOF TRUSS CONSTRUCTION
Authors:
Nenad Petrović1
, Nenad Kostić1, Nenad Marjanović1, Jelena Živković1, Ioana I Cofaru2
1University of Kragujevac, Faculty of Engineering, Serbia
2University “Lucian Blaga” of Sibiu Department of Industrial Machines and Equipment, Romania
Received: 13.05.2020.
Accepted: 02.06.2020.
Available: 30.06.2020.
Abstract:
In truss structural optimization the most frequently optimized factor of a structure is its weight. The minimization of weight contributes not only to savings in material, but also in other aspects of the structure such as number of elements used, number of welds needed, outer surface area, etc. This research aims to show the difference in optimal solutions for four different topological cases of a typical trapezoidal roof truss looking at their effects on overall outer surface area. The truss layouts are optimized for sizing, and a combination of sizing and shape with a minimal weight objective function. In order to ensure the most practically applicable solutions the example optimized in this paper uses dynamic constraints for buckling, stress constraints, and nodal displacement constraints. The overall outer surface area for all cases is compared, as surface protection accounts for a substantial part of the total cost of roof truss construction. Optimal solutions show a lack of correlation between weight and surface area, which is discussed in the conclusion.
Keywords:
Roof truss, structural optimization, Euler buckling, dynamic constraints, genetic algorithm
References:
[1] G.G. Tejani, V.J. Savsani, V.K. Patel, P.V. Savsani, Size, shape, and topology optimization of planar and space trusses using mutation-based improved metaheuristics. Journal of Computational Design and Engineering, 5 (2), 2018: 198-214.
https://doi.org/10.1016/j.jcde.2017.10.001
[2] T.E. Müller, E.v.d. Klashorst, A Quantitative Comparison Between Size, Shape, Topology and Simultaneous Optimization for Truss Structures. Latin American Journal of Solids and Structures, 14 (12), 2017: 2221-2242.
http://dx.doi.org/10.1590/1679-78253900
[3] M.S. Gonçalves, R.H. Lopez, L.F.F. Miguel, Search group algorithm: A new metaheuristic method for the optimization of truss structures. Computers & Structures, 153, 2015: 165-184. https://doi.org/10.1016/j.compstruc.2015.03.003
[4] H. Assimi, A. Jamali, A hybrid algorithm coupling genetic programming and Nelder– Mead for topology and size optimization of trusses with static and dynamic constraints. Expert Systems with Applications, 95, 2018: 127-141.
https://doi.org/10.1016/j.eswa.2017.11.035
[5] E. Grande, M. Imbimbo, V. Tomei, Role of global buckling in the optimization process of grid shells: Design strategies. Engineering Structures, 156, 2018: 260-270. https://doi.org/10.1016/j.engstruct.2017.11.049
[6] H. Madah, O. Amir, Truss optimization with buckling considerations using geometrically nonlinear beam modelling. Computers & Structures, 192, 2017: 233-247. https://doi.org/10.1016/j.compstruc.2017.07.023
[7] A. Xiao, B. Wang, C. Sun, S. Zhang, Z. Yang, Fitness Estimation Based Particle Swarm Optimization Algorithm for Layout Design of Truss Structures. Mathematical Problems in Engineering, 2014, 2014: 1-11. https://doi.org/10.1155/2014/671872
[8] A. Ahrari, A.A. Atai, Fully Stressed Design Evolution Strategy for Shape and Size Optimization of Truss Structures. Computers & Structures, 123, 2013: 58-67. https://doi.org/10.1016/j.compstruc.2013.04.013
[9] G. Janevski, M. Stamenković, M. Seabra, The Critical Load Parameter of a Timoshenko Beam with One-Step Change in Cross Section. Facta Universitatis, Series: Mechanical Engineering, 12 (3), 2014: 261-276.
[10] N. Petrovic, N. Marjanovic, N. Kostic, M. Blagojevic, M. Matejic, S. Troha, Effects of introducing dynamic constraints for buckling to truss sizing optimization problems. FME Transaction, 46 (1), 2018: 117-123.
https://doi.org/10.5937/fmet1801117P
[11] H. Ozbasaran, solveTruss v1.0: Static, global buckling and frequency analysis of 2D and 3D trusses with Mathematica. SoftwareX, 6, 2017: 135-140. https://doi.org/10.1016/j.softx.2017.05.004
[12] N. Petrovic, N. Kostic, N. Marjanovic, Discrete Variable Truss Structural Optimization Using Buckling Dynamic Constraints. Machine Design, 10 (2), 2018: 51-56. https://doi.org/10.24867/MD.10.2018.2.51-56
[13] N. Petrović, N. Kostić, N. Marjanović, V. Marjanović, Influence of Using Discrete CrossSection Variables for All Types of Truss Structural Optimization with Dynamic Constraints for Buckling. Applied Engineering Letters, 3 (2), 2018: 78-83.
https://doi.org/10.18485/aeletters.2018.3.2.5
[14] M. Reda, T. Sharaf, A. ElSabbagh, M. ElGhandour, Behavior and design for component and system of cold-formed steel roof trusses. Thin-Walled Structures, 135 2019: 21-32. https://doi.org/10.1016/j.tws.2018.10.038
[15] J.L. Dawe, Y. Liu, J.Y. Li, Strength and behaviour of cold-formed steel offset trusses. Journal of Constructional Steel Research, 66 (4), 2010: 556-565. https://doi.org/10.1016/j.jcsr.2009.10.015
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 1
March 2025
Last Edition
Volume 10
Number 1
March 2025
How to Cite
N. Petrović, N. Kostić, N. Marjanović, J. Živković, I.I. Cofaru, Effects of Structural Optimization on Practical Roof Truss Construction. Applied Engineering Letters, 5(2), 2020: 39–45.
https://doi.org/10.18485/aeletters.2020.5.2.1
More Citation Formats
Petrović, N., Kostić, N., Marjanović, N., Živković, J., & Cofaru, I. I. (2020). Effects of Structural Optimization on Practical Roof Truss Construction. Applied Engineering Letters, 5(2), 39–45. https://doi.org/10.18485/aeletters.2020.5.2.1
Petrović, Nenad, et al. “Effects of Structural Optimization on Practical Roof Truss Construction.” Applied Engineering Letters, vol. 5, no. 2, 2020, pp. 39–45, https://doi.org/10.18485/aeletters.2020.5.2.1.
Petrović, Nenad, Nenad Kostić, Nenad Marjanović, Jelena Živković, and Ioana I Cofaru. 2020. “Effects of Structural Optimization on Practical Roof Truss Construction.” Applied Engineering Letters 5 (2): 39–45. https://doi.org/10.18485/aeletters.2020.5.2.1.
Petrović, N., Kostić, N., Marjanović, N., Živković, J. and Cofaru, I.I. (2020). Effects of Structural Optimization on Practical Roof Truss Construction. Applied Engineering Letters, 5(2), pp.39–45. doi:10.18485/aeletters.2020.5.2.1.
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EFFECTS OF STRUCTURAL OPTIMIZATION ON PRACTICAL ROOF TRUSS CONSTRUCTION
Authors:
Nenad Petrović1
, Nenad Kostić1, Nenad Marjanović1, Jelena Živković1, Ioana I Cofaru2
1University of Kragujevac, Faculty of Engineering, Serbia
2University “Lucian Blaga” of Sibiu Department of Industrial Machines and Equipment, Romania
Received: 13.05.2020.
Accepted: 02.06.2020.
Available: 30.06.2020.
Abstract:
In truss structural optimization the most frequently optimized factor of a structure is its weight. The minimization of weight contributes not only to savings in material, but also in other aspects of the structure such as number of elements used, number of welds needed, outer surface area, etc. This research aims to show the difference in optimal solutions for four different topological cases of a typical trapezoidal roof truss looking at their effects on overall outer surface area. The truss layouts are optimized for sizing, and a combination of sizing and shape with a minimal weight objective function. In order to ensure the most practically applicable solutions the example optimized in this paper uses dynamic constraints for buckling, stress constraints, and nodal displacement constraints. The overall outer surface area for all cases is compared, as surface protection accounts for a substantial part of the total cost of roof truss construction. Optimal solutions show a lack of correlation between weight and surface area, which is discussed in the conclusion.
Keywords:
Roof truss, structural optimization, Euler buckling, dynamic constraints, genetic algorithm
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 1
March 2025
Last Edition
Volume 10
Number 1
March 2025