Effect of Embedment on Dynamic Response of Block Foundation Under Coupled Vibration

Conference paper
Part of the Sustainable Civil Infrastructures book series (SUCI)


The dynamic response of a block foundation under machine-induced vibration depends on several parameters such as the shape and size of the foundation, depth of embedment, static load, dynamic excitation frequency and other geological parameters. In this present study, the dynamic response of embedded block foundation of aspect ratio L/B = 1.5 under coupled mode of vibration for different depth of embedment (D = 0, 0.25 and 0.5 m) has been studied. A number of block vibration tests are carried out using a Lazan-type mechanical oscillator under four different eccentric moments (We = 0.2, 0.8, 1.4 and 2.0 Nm) for a static load of 6.6 kN. The frequency amplitude responses of the block foundation for both translational and rotational motion for different embedded condition are also obtained using the half-space theory. The theoretical results are compared with the response obtained from the experimental investigations. The comparison showed encouraging agreement between the experimental test results and that obtained from the analysis. The frequency amplitude response of embedded block foundation indicates that as the embedment depth increases, the resonant amplitude decreases and resonant frequency increases.


Dynamic response Block foundation Resonant amplitude Resonant frequency 


  1. Gajan, S., et al.: Centrifuge modelling of load-deformation behaviour of rocking shallow foundations. Soil Dyn. Earthq. Eng. (2005). Scholar
  2. Gazetas, G., Stokoe, K.H.: Free vibration of embedded foundations: theory versus experiment. J. Geotech. Eng. (1991).
  3. Gupta, B.N.: Effect of foundation embedment on the dynamic behaviour of the foundation-soil system. Geotechnique (1972). Scholar
  4. Hanumantharao, C., Ramana, G.V.: Dynamic soil properties for Microzonation of Delhi. J. Earth Syst. Sci. (2008). Scholar
  5. Kaldjian, M.J.: Torsional Stiffness of embedded footings. J. Soil Mech. Found. Eng. (1971)Google Scholar
  6. Novak, M., Beredugo, Y.O.: Coupled horizontal and rocking vibration of embedded footings. Can. Geotech. J. (1972). Scholar
  7. Novak, M., Sachs, K.: Torsional and coupled vibrations of embedded footings. Earthq. Eng. Struct. Dyn. (1973). Scholar
  8. Pak, P.Y.S., et al.: Physical characteristics of dynamic vertical-horizontal-rocking response of surface foundations on cohesionless soils. Geotechnique (2011). Scholar
  9. Velestos, A.S., Wei, Y.T.: Lateral and rocking vibration of footings. J. Soil Mech. Found. Eng. (1971)Google Scholar
  10. Velestos, A.S., Verbic, B.: Vibration of viscoelastic foundation. J. Earthq. Eng. Struct. Dyn. (1973). Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringIIT DelhiNew DelhiIndia

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