1. bookVolume 15 (2020): Issue 1 (September 2020)
Journal Details
License
Format
Journal
eISSN
1338-7278
First Published
29 Mar 2013
Publication timeframe
2 times per year
Languages
English
Open Access

An analytical model for predicting the natural frequency of retaining structures

Published Online: 24 Nov 2020
Volume & Issue: Volume 15 (2020) - Issue 1 (September 2020)
Page range: 7 - 12
Journal Details
License
Format
Journal
eISSN
1338-7278
First Published
29 Mar 2013
Publication timeframe
2 times per year
Languages
English
Abstract

The importance of the retaining structures is crucial in geotechnical engineering and the accurate determination of static and seismic earth pressures and natural frequency is important for study the dynamic behavior of these structures. Usually analytical formulas which do not consider the earth pressures behind retaining structure are used. An analytical model for predicting the natural frequency of retaining structures including the earth pressures by failure wedges is proposed in the present analysis. The model considers the effect of Coulomb and Mononobe Okabe failure wedges. Backfill material is considered in the analysis as cohesionless. The failure wedge is an important factor which should be considered in determining the natural frequency of retaining structures. As the weight of failure wedge increases the natural frequency decreases significantly. The current model is validated using several analytical models reported in the literature of the earlier researcher.

Keywords

[1] Yaghoobi, M. Mazaheri, S. & Dabbari, E. (2012). Determining natural frequency of free spanning offshore pipelines by considering the seabed soil characteristics. J. Par. Gulf. Mar. Scie. 3, 25-34. DOI: .Search in Google Scholar

[2] Ahn. J. Biscontin, G. & Roësset, J.M. (2011). Natural frequency and damping ratio of a vertically vibrated surface foundation. Soil. Dyn. Earth. Eng. 31, 674-681. DOI: .10.1016/j.soildyn.2010.12.006Search in Google Scholar

[3] Bhattacharya, S. (2014). Challenge in design of foundations for Offshore wind turbines. Eng. Tech. Ref, 31, 1-9. DOI: .10.1049/etr.2014.0041Search in Google Scholar

[4] Coulomb, C. (1776). Essai sur une application des règles de Maximis & Minimis à quelques problèmes de statique relatives à l’architecture. Mémoires de Mathématiques et de physique, Académie Royale des sciences, Paris, France.Search in Google Scholar

[5] Okabe, S. (1926). General theory of earth pressure. J. Jap. Soc. Civ. Eng, 12(1). DOI: .Search in Google Scholar

[6] Mononobe, N. (1929). On the determination of earth pressure during earthquakes. In Proceedings of the IX world Engineering Congress.Search in Google Scholar

[7] Scott, R.F. (1973). Earthquake-induced earth pressures on retaining walls. In 5th World Conference on Earthquake Engineering. Rome, Italy.Search in Google Scholar

[8] Ghanbari, A. Hoomaan, E. & Mojallal, M. (2013). An analytical method for calculating the natural frequency of retaining walls. Inter. J. Civ. Eng. Geotech. 11, 1-9. DOI: .Search in Google Scholar

[9] Sitar, N. & Wagner, N (2015). On Seismic Response of Stiff and Flexible Retaining Structures. In 6th International Conference on Earthquake Geotechnical Engineering, New Zealand.Search in Google Scholar

[10] Xu, Q. (2017). Investigation of Stability Alarming for Retaining Wall Structures with Damage. Shock. Vib, 1-12. DOI:org/10.1155/2017/4691947.10.1155/2017/4691947Search in Google Scholar

[11] Bakhtiari-Nejad, F. Khorram, A. & Rezaeian, M. (2014). Analytical estimation of natural frequencies and mode shapes of a beam having two cracks. Inter. J. Mech. Scie. 78, 193-202. DOI: .10.1016/j.ijmecsci.2013.10.007Search in Google Scholar

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