i-manager Publications

Effect of Geometry over the Fundamental Period of Vibration

S. G. Joshi*, Naveen Kwatra**

*Department of Civil Engineering, Vishwakarma Institute of Information Technology, Pune, India.

**Department of Civil Engineering, Thapar University, Patiala, Punjab, India.

Periodicity:March - May'2019
DOI : https://doi.org/10.26634/jste.8.1.15440

Abstract

Two techniques are employed to study the effect of geometry of the building over the fundamental period of vibration. Fundamental period is determined using Stodola method for eighty reinforced concrete buildings of different configurations and a linear relationship is observed between the period and the height of the building. The relation between, constant of proportionality and aspect ratio of the building, is observed to be nonlinear. A data driven technique in the form of Genetic Programming (GP) is used to obtain the equations of the fundamental period and a linear relationship is observed between the period value and the height of the building along shorter direction of building. It is observed that GP technique gives the equations similar to those suggested by other researchers and different codes. It is also noticed that up to 40 m height of the building the equation given is exactly similar to the one recommended by many building codes. Empirical equations are suggested to determine the fundamental period of vibration using GP technique.

Keywords

Genetic Programming, Fundamental Period of Vibration, Stodola Method, Data Driven Tools

How to Cite this Article?

Joshi, S. G., & Kwatra, N. (2019). Effect of Geometry over the Fundamental Period of Vibration, i-manager's Journal on Structural Engineering, 8(1), 29-38. https://doi.org/10.26634/jste.8.1.15440

References

[1]. Ahamadi, N., Kamyab, M. R., & Lavaei, A. (2008). Dynamic analysis of structures using neural network. American Journal of Applied Sciences, 5(9), 1251-1256. https://doi.org/10.3844/ajassp.2008.1251.1256

[2]. Annan, C. D., Youssef, M. A., & El Naggar, M. H. (2009). Seismic vulnerability assessment of modular steel buildings. Journal of Earthquake Engineering, 13(8), 1065-1088. https://doi.org/10.1080/136324609029 33881

[3]. BIS. (2002). Criteria for Earthquake Resistant Design of Structures-Part 1: General Provisions and Buildings (fifth revision) (IS 1893 (Part 1): 2016), New Delhi, India.

[4]. Crowley, H., & Pinho, R. (2006, September). Simplified equations for estimating the period of vibration of existing buildings. In First European Conference on Earthquake Engineering and Seismology, (1122).

[5]. Crowley, H., & Pinho, R. (2010). Revisiting Eurocode 8 formulae for periods of vibration and their employment in linear seismic analysis. Earthquake Engineering & Structural Dynamics, 39(2), 223-235. https://doi.org/10. 1002/eqe.949

[6]. Elgohary, H., & Assas, M. (2013, April). New Empirical Formula for the Determination of the fundamental period th of vibration of multi-storey RC buildings. In RASD 2013 11 International Conference on Recent Advances in Structural Dynamics.

[7]. Gaur, S., & Deo, M. C. (2008). Real-time wave forecasting using genetic programming. Ocean Engineering, 35(11-12), 1166-1172. https://doi.org/10. 1016/j.oceaneng.2008.04.007

[8]. Gilles, D., & McClure, G. (2008, October). Development of a period database for buildings in Montreal using ambient vibrations. In Proceedings of the th 14 World Conference on Earthquake Engineering.

[9]. Goel, R. K., & Chopra, A. K. (1997). Period formulas for moment-resisting frame buildings. Journal of Structural Engineering, 123(11), 1454-1461. https://doi.org/10. 1061/(ASCE)0733-9445(1997)123:11(1454)

[10]. Heshmati, A. A. R., Salehzade, H., Alavi, A. H., Gandomi, A. H., Badkobeh, A., & Ghasemi, A. (2008). On the applicability of linear genetic programming for the formulation of soil classification. American-Eurasian Journal of Agricultural & Environmental Sciences, 45, 575-583.

[11]. Johari, A., Habibagahi, G., & Ghahramani, A. (2006). Prediction of soil–water characteristic curve using genetic programming. Journal of Geotechnical and Geoenvironmental Engineering, 132(5), 661-665. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5 (661)

[12]. Koza, J. R. (1992). Genetic Programming: On the Programming of Computers by means of Natural Selection. Cambridge, MA: MIT Press.

[13]. Kwon, O. S., & Kim, E. S. (2010). Evaluation of building period formulas for seismic design. Earthquake Engineering & Structural Dynamics, 39(14), 1569-1583. https://doi.org/10.1002/eqe.998

[14]. Londhe, S. N., & Dixit, P. R. (2012). Genetic programming: A novel computing approach in modeling water flows. In Genetic Programming-New Approaches and Successful Applications. InTech Open (pp.199-224). https://doi.org/10.5772/48179

[15]. Mehanny, S. S. (2012). Are theoretically calculated periods of vibration for skeletal structures error-free?. Earthquake and Structures, 3(1), 17-35. https:// doi.org/10.12989/eas.2012.3.1.017

[16]. Salama, M. I. (2015). Estimation of period of vibration for concrete moment-resisting frame buildings. HBRC Journal, 11(1), 16-21. https://doi.org/10.1016/j.hbrcj. 2014.01.006

[17]. Sangamnerkar, P., & Dubey, S. K. (2017). Equations to evaluate fundamental period of vibration of buildings in seismic analysis. Structural Monitoring and Maintenance, 4(4), 351-364. https://doi.org/10.12989/smm.2017. 4.4.351

[18]. Shaw, D., Miles, J., & Gray, A. (2004). Genetic programming within civil engineering. In Parmee, I. C. (Ed.) Adaptive Computing in Design and Manufacture VI (pp. 51-61). London: Springer.

[19]. Velani, P. D., & Ramancharla, P. K. (2017). New empirical formula for fundamental period of tall buildings in India by ambient vibration test. 16^th World Conference in Earthquake (16 WCEE, 2017), (218).

[20]. Verderame, G. M., Iervolino, I., & Manfredi, G. (2010). Elastic period of sub-standard reinforced concrete moment resisting frame buildings. Bulletin of Earthquake Engineering, 8(4), 955-972. https://doi.org/ 10.1007/s10518-010-9176-8

Effect of Geometry over the Fundamental Period of Vibration

Abstract

Keywords

How to Cite this Article?

References

If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Options for accessing this content:

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Pdf	35	35	200	20
Online	35	35	200	15
Pdf & Online	35	35	400	25