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Published in: Geotechnical and Geological Engineering 4/2008

01-08-2008 | Original Paper

Dynamic Response of Machine Foundation on Layered Soil: Cone Model Versus Experiments

Authors: P. K. Pradhan, A. Mandal, D. K. Baidya, D. P. Ghosh

Published in: Geotechnical and Geological Engineering | Issue 4/2008

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Abstract

This paper presents the experimental validation of analytical solution based on cone model for machine foundation vibration analysis on layered soil. Impedance functions for a rigid massless circular foundation resting on a two layered soil system subjected to vertical harmonic excitation are found using cone model. Linear hysteretic material damping is introduced using correspondence principle. The frequency-amplitude response of a massive foundation is then computed using impedance functions. To verify the solution field experiments are conducted in two different layered soil systems such as gravel layer over in situ soil and gravel layer over concrete slab (rigid base). A total 72 numbers of vertical vibration tests on square model footing were conducted using Lazan type mechanical oscillator, varying the influencing parameters such as depth of top layer, static weight of foundation and dynamic force level. The frequency-amplitude response in general and in particular the resonant frequencies and resonant amplitudes predicted by cone model is compared with the results of experimental investigation, which shows a close agreement. Thus the cone model is reliable in its application to machine foundation vibration on layered soil.

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Literature
go back to reference Baidya DK, Muralikrishna G (2001) Investigation of resonant frequency and amplitude of vibrating footing resting on a layered soil system. Geotech Test J ASTM 24(4):409–417 Baidya DK, Muralikrishna G (2001) Investigation of resonant frequency and amplitude of vibrating footing resting on a layered soil system. Geotech Test J ASTM 24(4):409–417
go back to reference Baidya DK, Rathi A (2004) Dynamic response of footing on a sand layer of finite thickness. J Geotech Geoenviron Eng ASCE 130(6):651–655CrossRef Baidya DK, Rathi A (2004) Dynamic response of footing on a sand layer of finite thickness. J Geotech Geoenviron Eng ASCE 130(6):651–655CrossRef
go back to reference Baidya DK, Sridharan A (2002) Foundation vibration on layered soil system. Indian Geotech J 32(2):235–257 Baidya DK, Sridharan A (2002) Foundation vibration on layered soil system. Indian Geotech J 32(2):235–257
go back to reference Crouse CB, Hushmand B, Luco JE, Wong HL (1990) Foundation impedance functions: theory versus experiment. J Geotech Eng ASCE 116(3):432–449CrossRef Crouse CB, Hushmand B, Luco JE, Wong HL (1990) Foundation impedance functions: theory versus experiment. J Geotech Eng ASCE 116(3):432–449CrossRef
go back to reference de Barros FCP, Luco JE (1990) Discrete models for vertical vibration of surface and embedded foundations. Earthquake Eng Struc Dyn 19(2):289–303CrossRef de Barros FCP, Luco JE (1990) Discrete models for vertical vibration of surface and embedded foundations. Earthquake Eng Struc Dyn 19(2):289–303CrossRef
go back to reference Ehlers G (1942) The effect of soil flexibility on vibrating systems. Beton and Eisen 41(21/22):197–203 Ehlers G (1942) The effect of soil flexibility on vibrating systems. Beton and Eisen 41(21/22):197–203
go back to reference Gazetas G (1983) Analysis of machine foundation vibrations: state of the art. Soil Dyn Earthquake Eng 2(1):2–42CrossRef Gazetas G (1983) Analysis of machine foundation vibrations: state of the art. Soil Dyn Earthquake Eng 2(1):2–42CrossRef
go back to reference Gazetas G (1987) Simple physical methods for foundation impedance. In: Banerjee PK, Butterfield R (eds) Dynamic behaviour of foundations and buried structures. Developments in soil mechanics and fundation engineering, vol 3, chapter 2. Elsevier Applied Science, London Gazetas G (1987) Simple physical methods for foundation impedance. In: Banerjee PK, Butterfield R (eds) Dynamic behaviour of foundations and buried structures. Developments in soil mechanics and fundation engineering, vol 3, chapter 2. Elsevier Applied Science, London
go back to reference Gazetas G, Dobry R (1984) Simple radiation damping model for piles and footings. J Geotech Eng ASCE 110(6):937–956 Gazetas G, Dobry R (1984) Simple radiation damping model for piles and footings. J Geotech Eng ASCE 110(6):937–956
go back to reference Gazetas G, Stokoe KH II (1991) Vibration of embedded foundations: theory versus experiment. J Geotech Eng ASCE, 117(9):1382–1401CrossRef Gazetas G, Stokoe KH II (1991) Vibration of embedded foundations: theory versus experiment. J Geotech Eng ASCE, 117(9):1382–1401CrossRef
go back to reference Jaya KP, Prasad AM (2002) Embedded foundation in layered soil under dynamic excitations. J Soil Dyn Earthquake Eng 22:485–498CrossRef Jaya KP, Prasad AM (2002) Embedded foundation in layered soil under dynamic excitations. J Soil Dyn Earthquake Eng 22:485–498CrossRef
go back to reference Mandal A, Baidya DK (2004) Effect of presence of rigid base within the soil on the dynamic response of rigid surface foundation. Geotech Test J ASTM 27(5):475–482 Mandal A, Baidya DK (2004) Effect of presence of rigid base within the soil on the dynamic response of rigid surface foundation. Geotech Test J ASTM 27(5):475–482
go back to reference Meek JW, Veletsos AS (1974) Simple models for foundations in lateral and rocking motions. In: Proceedings of 5th World Congress on Earthquake Engineering, vol 2. Rome, pp 2610–2613 Meek JW, Veletsos AS (1974) Simple models for foundations in lateral and rocking motions. In: Proceedings of 5th World Congress on Earthquake Engineering, vol 2. Rome, pp 2610–2613
go back to reference Meek JW, Wolf JP (1992a) Cone models for homogeneous soil. J Geotech Eng Div ASCE, 118(5):667–685CrossRef Meek JW, Wolf JP (1992a) Cone models for homogeneous soil. J Geotech Eng Div ASCE, 118(5):667–685CrossRef
go back to reference Meek JW, Wolf JP (1992b) Cone models for soil layer on rigid rock. J Geotech Eng Div ASCE 118(5):686–703CrossRef Meek JW, Wolf JP (1992b) Cone models for soil layer on rigid rock. J Geotech Eng Div ASCE 118(5):686–703CrossRef
go back to reference Meek JW, Wolf JP (1994) Cone models for an embedded foundation. J Geotech Eng Div ASCE 120:60–80CrossRef Meek JW, Wolf JP (1994) Cone models for an embedded foundation. J Geotech Eng Div ASCE 120:60–80CrossRef
go back to reference Pradhan PK, Baidya DK, Ghosh DP (2003) Impedance functions of circular foundation resting on layered soil using cone model. Electron J Geotech Eng 8(B) Pradhan PK, Baidya DK, Ghosh DP (2003) Impedance functions of circular foundation resting on layered soil using cone model. Electron J Geotech Eng 8(B)
go back to reference Pradhan PK, Baidya DK, Ghosh DP (2004) Dynamic response of foundations resting on layered soil by cone model. J Soil Dyn Earthquake Eng 24(6):425–434CrossRef Pradhan PK, Baidya DK, Ghosh DP (2004) Dynamic response of foundations resting on layered soil by cone model. J Soil Dyn Earthquake Eng 24(6):425–434CrossRef
go back to reference Sridharan A, Gandhi NSVVSJ, Suresh S (1990) Stiffness coefficients of layered soil system. J Geotech Eng ASCE 116(4):604–624CrossRef Sridharan A, Gandhi NSVVSJ, Suresh S (1990) Stiffness coefficients of layered soil system. J Geotech Eng ASCE 116(4):604–624CrossRef
go back to reference Veletsos AS, Nair VD (1974) Response of torsionally excited foundations. J Geotech Eng Div ASCE 100:476–482 Veletsos AS, Nair VD (1974) Response of torsionally excited foundations. J Geotech Eng Div ASCE 100:476–482
go back to reference Veletsos AS, Verbic B (1973) Vibration of viscoelastic foundations. Earthquake Eng Struc Dyn 2:87–102CrossRef Veletsos AS, Verbic B (1973) Vibration of viscoelastic foundations. Earthquake Eng Struc Dyn 2:87–102CrossRef
go back to reference Wolf JP (1994) Foundation vibration analysis using simple physical models. Prentice-Hall, Englewood Cliffs, NJ Wolf JP (1994) Foundation vibration analysis using simple physical models. Prentice-Hall, Englewood Cliffs, NJ
go back to reference Wolf JP, Deeks AJ (2004) Foundation vibration analysis: a strength-of-material approach, 1st edn. Elsevier Wolf JP, Deeks AJ (2004) Foundation vibration analysis: a strength-of-material approach, 1st edn. Elsevier
go back to reference Wolf JP, Meek JW (1993) Cone models for a soil layer on flexible rock half-space. Earthquake Eng Struc Dyn 22:185–193CrossRef Wolf JP, Meek JW (1993) Cone models for a soil layer on flexible rock half-space. Earthquake Eng Struc Dyn 22:185–193CrossRef
go back to reference Wolf JP, Meek JW (1994) Dynamic stiffness of foundation on or embedded in layered soil using cone frustums. Earthquake Eng Struc Dyn 23:1079–1095CrossRef Wolf JP, Meek JW (1994) Dynamic stiffness of foundation on or embedded in layered soil using cone frustums. Earthquake Eng Struc Dyn 23:1079–1095CrossRef
go back to reference Wolf JP, Somaini DR (1986) Approximate dynamic model of embedded foundation in time domain. Earthquake Eng Struc Dyn 14(5):683–703CrossRef Wolf JP, Somaini DR (1986) Approximate dynamic model of embedded foundation in time domain. Earthquake Eng Struc Dyn 14(5):683–703CrossRef
Metadata
Title
Dynamic Response of Machine Foundation on Layered Soil: Cone Model Versus Experiments
Authors
P. K. Pradhan
A. Mandal
D. K. Baidya
D. P. Ghosh
Publication date
01-08-2008
Publisher
Springer Netherlands
Published in
Geotechnical and Geological Engineering / Issue 4/2008
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-008-9181-8

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