Abstract
This study explores the applicability of the metaheuristic algorithm for calculating the building period. Firefly algorithm (FA) employing the feed-forward (FF) model is applied to an existing period dataset of several wood buildings, whose motions were recorded at ambient conditions. The composition of the considered artificial neural network (ANN) is optimized employing the firefly algorithm, and the fixed weights are determined with the least error for the model. The model's precision is evaluated by comparing the results with the multiple linear regression (MLR) model, the ANN model combined with the genetic algorithm (GA-ANN), particle swarm optimization algorithm (PSO-ANN), and the models existing in building code. The results are also compared with the models presented in the literature for the period estimate required for the seismic design of wood buildings. The paper concludes that the proposed informational model can predict the fundamental period of light-frame wood buildings more accurately than the other available models.
Similar content being viewed by others
Data availability
The data of this study will be available upon request.
Abbreviations
- ANN:
-
Artificial neural network
- FA:
-
Firefly algorithm
- FF:
-
Feed forward
- FA-ANN:
-
Artificial neural network model combined with firefly algorithm
- NBCC:
-
The National Building Code of Canada
- T :
-
The fundamental period of vibration (T)
- h :
-
Height
- ATC 1978:
-
Applied technology council-1978
- NEHRP 94:
-
National Earthquake Hazards Reduction Program
- \({A}_{\mathrm{e}}\) :
-
The equal shear area
- I :
-
The second moments per wall in the considered direction
- I 0 :
-
Maximum brightness
- β :
-
The attractiveness of the fireflies
- β 0 :
-
Maximum attractiveness
- ϵ i :
-
A Gaussian-distributed random number
- P-P :
-
Probability plot
- \({R}^{2}\) :
-
Coefficient of determination
- \({N}_{\mathrm{H}}\) :
-
Number of hidden layer nodes
- SLR:
-
Simple linear regression
- ANNs:
-
Artificial neural networks
- GA:
-
Genetic algorithm
- MLR:
-
Multiple linear regression
- GA-ANN:
-
Artificial neural network model combined with genetic algorithm
- UBC-97:
-
The uniform building code-1997
- USH:
-
Uniform hazards spectra
- N :
-
Number of stories
- OSB:
-
Oriented strand board
- SEAOC 96 :
-
Structural engineers association of California
- L w :
-
Total wall width per section plan area
- LMA:
-
Levenberg–Marquardt algorithm
- γ :
-
Light absorption coefficient
- I(r) :
-
Light intensities
- r :
-
Distance between two fireflies
- α :
-
A randomization parameter
- AAE:
-
Average absolute error
- VAF:
-
Variance account factor
- \({N}_{\mathrm{I}}\) :
-
Number of inputs
- PSO:
-
Particle swarm optimization
References
Asef F, Majidnezhad V, Feizi-Derakhshi M-R, Parsa S (2021) Heat transfer relation-based optimization algorithm (HTOA). Soft Comput 25:8129–8158. https://doi.org/10.1007/s00500-021-05734-0
Palo Alto, Applied Technology Council (ATC 3-06), Tentative provisions for the development of seismic regulations for buildings., California, (1978)
Balachennaiah P, Suryakalavathi M, Nagendra P (2018) Firefly algorithm based solution to minimize the real power loss in a power system. Ain Shams Eng J 9:89–100. https://doi.org/10.1016/j.asej.2015.10.005
Bardak S, Tiryaki S, Nemli G, Aydın A (2016) Investigation and neural network prediction of wood bonding quality based on pressing conditions. Int J Adhes Adhes 68:115–123. https://doi.org/10.1016/j.ijadhadh.2016.02.010
Bowden GJ, Dandy GC, Maier HR (2005) Input determination for neural network models in water resources applications. Part 1—background and methodology. J Hydrol 301:75–92. https://doi.org/10.1016/j.jhydrol.2004.06.021
Camelo V, Beck J, Hall J (2003) Dynamic characteristics of woodframe buildings
Eusuff M, Lansey K, Pasha F (2006) Shuffled frog-leaping algorithm: a memetic meta-heuristic for discrete optimization. Eng Optim 38:129–154. https://doi.org/10.1080/03052150500384759
Faridmehr I, Nehdi ML, Nikoo M, Valerievich KA (2021) Predicting embodied carbon and cost effectiveness of post-tensioned slabs using novel hybrid firefly ANN. Sustainability 13:12319. https://doi.org/10.3390/su132112319
Farsi MN, Bard P-Y (2004) Estimation des périodes propres de bâtiments et vulnérabilité du bâti existant dans l’agglomération de Grenoble. Rev Française Génie Civ 8:149–179. https://doi.org/10.1080/12795119.2004.9692601
Fathi H, Nasir V, Kazemirad S (2020) Prediction of the mechanical properties of wood using guided wave propagation and machine learning. Constr Build Mater 262:120848. https://doi.org/10.1016/j.conbuildmat.2020.120848
Fister I, Fister I, Yang X-S, Brest J (2013) A comprehensive review of firefly algorithms. Swarm Evol Comput 13:34–46. https://doi.org/10.1016/j.swevo.2013.06.001
Gilles D, McClure G, Chouinard LE (2011) Uncertainty in fundamental period estimates leads to inaccurate design seismic loads. Can J Civ Eng 38:870–880. https://doi.org/10.1139/l11-055
Goel R, Chopra AK (1998) Period formulas for concrete shear wall buildings. J Struct Eng 94:426–433. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:4(426)
Hafeez G, Mustafa A, Doudak G, McClure G (2014) Predicting the fundamental period of light-frame wood buildings. J Perform Constr Facil 28:A4014004. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000519
Hafeez G, Doudak G, McClure G (2018a) Establishing the fundamental period of light-frame wood buildings on the basis of ambient vibration tests. Can J Civ Eng 45:752–765. https://doi.org/10.1139/cjce-2017-0348
Hafeez G, Doudak G, McClure G (2018b) Dynamic characteristics of light-frame wood buildings. Can J Civ Eng 46:1–12. https://doi.org/10.1139/cjce-2017-0266
Hafeez G (2017) Dynamic characteristics of light-frame wood buildings, University of Ottawa https://doi.org/10.20381/ruor-20503
Johari N, Zain A, Mustaffa N, Udin A (2013) Firefly algorithm for optimization problem. Appl Mech Mater 421:512–517. https://doi.org/10.4028/www.scientific.net/AMM.421.512
Khademi F, Akbari M, Jamal SM (2015) Prediction of compressive strength of concrete by data-driven models. I-Manager’s J. Civ. Eng. 5:16–23. https://doi.org/10.26634/jce.5.2.3350
Khademi F, Akbari M, Jamal SM, Nikoo M (2017) Multiple linear regression, artificial neural network, and fuzzy logic prediction of 28 days compressive strength of concrete. Front Struct Civ Eng 11:90–99. https://doi.org/10.1007/s11709-016-0363-9
Kivi ME, Majidnezhad V (2022) A novel swarm intelligence algorithm inspired by the grazing of sheep. J Ambient Intell Humaniz Comput 13:1201–1213. https://doi.org/10.1007/s12652-020-02809-y
Lagomarsino S (1993) Forecast models for damping and vibration periods of buildings. J Wind Eng Ind Aerodyn
Lee L-H, Chang K-K, Chun Y-S (2000) Experimental formula for the fundamental period of rc buildings with shear-wall dominant systems. Struct Desing Tall Spec Build 9:295–307
Li J, Heap AD, (2008) A review of spatial interpolation methods for environmental scientists, Geoscience Australia, Canberra
Nikoo M, Torabian Moghadam F, Sadowski Ł (2015) Prediction of concrete compressive strength by evolutionary artificial neural networks. Adv Mater Sci Eng 2015:1–9. https://doi.org/10.1155/2015/849126
Nikoo M, Hadzima-Nyarko M, Nyarko EK, Nikoo M (2018) Determining the natural frequency of cantilever beams using ANN and heuristic search. Appl Artif Intell 32:309–334. https://doi.org/10.1080/08839514.2018.1448003
NRC/IRC, National Building Code of Canada, National Research Council of Canada, Institute for Research in Construction, Ottawa, Ontario, 2020
Saatcioglu M, Morales M (2011) Computation of fundamental period for seismic design of reinforced concrete buildings. In: CSCE Annu. Gen. Meet. Conf., Ottawa, Ontario
Sadowski L, Nikoo M (2014) Corrosion current density prediction in reinforced concrete by imperialist competitive algorithm. Neural Comput Appl 25:1627–1638. https://doi.org/10.1007/s00521-014-1645-6
Saltelli A, Ratto M, Andres T, Francesca Campolongo JC, Gatelli D, Michaela Saisana ST (2007) Global sensitivity analysis. The Primer, John Wiley & Sons, Ltd, https://doi.org/10.1002/9780470725184
Shadbahr E, Aminnejad B, Lork A (2021) Determining post-fire residual compressive strength of reinforced concrete shear walls using the BAT algorithm. Structures 32:651–661. https://doi.org/10.1016/j.istruc.2021.03.002
Sobhani J, Najimi M, Pourkhorshidi AR, Parhizkar T (2010) Prediction of the compressive strength of no-slump concrete: a comparative study of regression, neural network and ANFIS models. Constr Build Mater 24:709–718. https://doi.org/10.1016/j.conbuildmat.2009.10.037
Tiryaki S, Aydın A (2014) An artificial neural network model for predicting compression strength of heat treated woods and comparison with a multiple linear regression model. Constr Build Mater 62:102–108. https://doi.org/10.1016/j.conbuildmat.2014.03.041
Yan F, Lin Z, Wang X, Azarmi F, Sobolev K (2017) Evaluation and prediction of bond strength of GFRP-bar reinforced concrete using artificial neural network optimized with genetic algorithm. Compos Struct 161:441–452. https://doi.org/10.1016/j.compstruct.2016.11.068
Yang XS (2010) A new metaheuristic bat-inspired algorithm. Stud Comput Intell. https://doi.org/10.1007/978-3-642-12538-6_6
Yang XS, Nature-inspired optimization algorithms (2014) https://doi.org/10.1016/C2013-0-01368-0
Acknowledgements
This research received no specific support from public, commercial, or not-for-profit funding organizations. The authors would like to thank Dr. Ghasan Doudak, Professor at the University of Ottawa and Dr. Gyhslaine McClure, Professor at McGill University, for their help and guidance in the data collection of wood buildings.
Funding
This research study did not receive any financial funding.
Author information
Authors and Affiliations
Contributions
MN contributed to conceptualization, methodology, investigation, formal analysis, validation, writing—original draft preparation, review and editing. GH contributed to supervision, data collection, conceptualization, methodology, investigation, visualization, writing, review and editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflicting interests concerning the publication of this article.
Ethical approval
This manuscript has not been published and is not under consideration for publication elsewhere.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Nikoo, M., Hafeez, G. Period estimate of wood buildings employing soft modelling techniques. Soft Comput 27, 16251–16264 (2023). https://doi.org/10.1007/s00500-023-08040-z
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-023-08040-z