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J. Wolf (1997)
Spring‐dashpot‐mass models for foundation vibrationsEarthquake Engineering & Structural Dynamics, 26
G. Weissmann (1966)
A mathematical model of a vibrating soil-foundation systemBell System Technical Journal, 45
T. Sung (1954)
Vibrations in Semi-Infinite Solids Due to Periodic Surface Loading
R. Whitman, F. Richart (1967)
Design procedures for dynamically loaded foundationsJournal of the Soil Mechanics and Foundations Division, 93
J. Luco, R. Westmann (1971)
Dynamic Response of Circular FootingsJournal of Engineering Mechanics-asce, 97
J. Meek, J. Wolf (1992)
CONE MODELS FOR HOMOGENEOUS SOIL. IJournal of Geotechnical Engineering, 118
G. Bycroft (1956)
Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratumPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 248
Wen-Hwa Wu, Wen-How Lee (2002)
Systematic lumped‐parameter models for foundations based on polynomial‐fraction approximationEarthquake Engineering & Structural Dynamics, 31
A. Veletsos, Yau-Teh Wei (1971)
LATERAL AND ROCKING VIBRATION OF FOOTINGSJournal of the Soil Mechanics and Foundations Division, 97
Philosophical Transactions of the Royal Society, London, Ser. A, 203
E. Reissner (1936)
Stationäre, axialsymmetrische, durch eine schüttelnde Masse erregte Schwingungen eines homogenen elastischen HalbraumesIngenieur-Archiv, 7
P. Pradhan, D. Baidya, D. Ghosh (2004)
Dynamic response of foundations resting on layered soil by cone modelSoil Dynamics and Earthquake Engineering, 24
J. Meek, J. Wolf (1993)
Cone models for nearly incompressible soilEarthquake Engineering & Structural Dynamics, 22
Shi-Shuenn Chen, Jun‐Yang Shi (2006)
Simplified Model for Vertical Vibrations of Surface FoundationsJournal of Geotechnical and Geoenvironmental Engineering, 132
Anestis Veletosos, V. Nair (1974)
Response of Torsionally Excited FoundationsJournal of Geotechnical and Geoenvironmental Engineering, 100
J. Wolf (1991)
Consistent lumped‐parameter models for unbounded soil: Physical representationEarthquake Engineering & Structural Dynamics, 20
W. Jean, Tsung‐Wu Lin, J. Penzien (1990)
System parameters of soil foundations for time domain dynamic analysisEarthquake Engineering & Structural Dynamics, 19
N. Kobayashi, H. Takeuchi (1954)
Propagation of Tremors over the Surface of an Elastic Solid.Journal of physics of the earth, 3
Journal of Geotechnical Engineering, 97
J. Wolf, Dario Somaini (1986)
Approximate dynamic model of embedded foundation in time domainEarthquake Engineering & Structural Dynamics, 14
J. Lysmer (1965)
Vertical motion of rigid footings
J. Wolf (1991)
Consistent lumped‐parameter models for unbounded soil: Frequency‐independent stiffness, damping and mass matricesEarthquake Engineering & Structural Dynamics, 20
M. Nagendra, A. Sridharan (1984)
Footing Response to Horizontal VibrationJournal of Engineering Mechanics-asce, 110
P. Shah (1968)
ON THE DYNAMIC RESPONSE OF FOUNDATION SYSTEMS
(1967)
Coupled rocking and sliding oscillations of rigid circular footings
Journal of The Engineering Mechanics Division, 93
(1975)
Dynamics of structure-foundation systems
Wen-Hwa Wu, Wen-How Lee (2004)
Nested lumped‐parameter models for foundation vibrationsEarthquake Engineering & Structural Dynamics, 33
(1962)
Foundation vibrations
P. Quinlan (1954)
The Elastic Theory of Soil Dynamics
A. Veletsos, V. Nair (1974)
Torsional Vibration of Viscoelastic FoundationsJournal of Geotechnical and Geoenvironmental Engineering, 100
(1974)
Simple models for foundations in lateral and rocking motion
F. Barros, J. Luco (1990)
Discrete models for vertical vibrations of surface and embedded foundationsEarthquake Engineering & Structural Dynamics, 19
J. Lysmer, F. Richart (1966)
DYNAMIC RESPONSE OF FOOTINGS TO VERTICAL LOADINGJournal of the Soil Mechanics and Foundations Division, 92
Wen-Hwa Wu, Cheng‐Yin Chen (2001)
Simple lumped‐parameter models of foundation using mass‐spring‐dashpot oscillatorsJournal of the Chinese Institute of Engineers, 24
J. Roesset, R. Whitman, R. Dobry (1973)
Modal Analysis for Structures with Foundation InteractionJournal of the Structural Division, 99
This paper aims to simplify a new frequency-independent model to calculate vertical vibration of rigid circular foundation resting on homogenous half-space and subjected to vertical harmonic excitation is presented in this paper.Design/methodology/approachThe proposed model is an oscillator of single degree of freedom, which comprises a mass, a spring and a dashpot. In addition, a fictitious mass is added to the foundation. All coefficients are frequency-independent. The spring is equal to the static stiffness. Damping coefficient and fictitious mass are first calculated at resonance frequency where the response is maximal. Then, using a curve fitting technique the general formulas of damping and fictitious mass frequency-independent are established.FindingsThe validity of the proposed method is checked by comparing the predicted response with those obtained by the half-space theory. The dynamic responses of the new simplified model are also compared with those obtained by some existing lumped-parameter models.Originality/valueUsing this new method, to calculate the dynamic response of foundations, the engineer only needs the geometrical and mechanical characteristics of the foundation (mass and radius) and the soil (density, shear modulus and the Poisson’s ratio) using just a simple calculator. Impedance functions will no longer be needed in this new simplified method. The methodology used for the development of the new simplified model can be applied for the resolution of other problems in dynamics of soil and foundation (superficial and embedded foundations of arbitrary shape, other modes of vibration and foundations resting on non-homogeneous soil).
World Journal of Engineering – Emerald Publishing
Published: Sep 20, 2019
Keywords: Circular foundation; Frequency-independent; Homogeneous half-space; Simplified model; Vertical dynamic response half-space
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