 
          2692
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          2 EXPERIMENTAL BACKGROUND
        
        
          The vertical vibration tests on the full-scale single pile were
        
        
          conducted at I.I.T. Kharagpur Extension Centre, Block No. HC,
        
        
          Plot. 7, Sector - III, Salt Lake City, Kolkata, India (Manna and
        
        
          Baidya, 2009). In the field three bore holes were made and soil
        
        
          samples were collected. The depth of exploration below ground
        
        
          level was 30.45 m. Disturbed representative soil samples and
        
        
          undisturbed soil samples were collected from the field. During
        
        
          boring ground water was encountered in all the three boreholes
        
        
          and it was found that the position of standing water table was at
        
        
          1.25 m below the ground level. Standard penetration tests (SPT)
        
        
          were carried out in the field and the SPT -
        
        
          N
        
        
          value was
        
        
          determined at different depths of the soil strata. Based on
        
        
          different laboratory observations and field test results the site
        
        
          soil was divided into six different layers. The RCC piles were
        
        
          constructed at site using cast in situ technique. The diameter and
        
        
          length of the pile were 0.45 m and 22 m respectively. Forced
        
        
          vibration tests were conducted on the piles in vertical direction.
        
        
          The mechanical oscillator (Lazan type) was used to induce
        
        
          unidirectional vibrations on pile foundation. The mechanical
        
        
          oscillator was connected by means of a flexible shaft with a
        
        
          motor and its speed was controlled by a speed control unit. The
        
        
          vibration measuring equipment consisted of a piezoelectric
        
        
          acceleration pickup and the associated vibration meter. The
        
        
          complete dynamic test set up is shown in Figure. 1. The
        
        
          amplitudes were measured at different frequencies for each
        
        
          eccentric setting. Tests were conducted for four different
        
        
          exciting moments (0.278, 0.366, 0.45, and 0.529 Nm) under
        
        
          different static loads (8 kN and 10 kN).
        
        
          Figure. 1 Complete setup of vertical vibration test on full-scale pile
        
        
          3 THREE DIMENSIONAL FINITE ELEMENT
        
        
          MODELLING
        
        
          A 3-D FE model was developed to study the nonlinear soil-pile
        
        
          interaction using the finite element software, ABAQUS/CAE
        
        
          6.11 (2010). A harmonic vibration load was applied i.e., rotating
        
        
          mass type machine at the top of a 0.45 m diameter single pile
        
        
          having 22 m length. Both the pile and soil mass were meshed
        
        
          using tetrahedral solid elements (10 nodded) where elements
        
        
          were more closely spaced near the pile compared to the outer
        
        
          region shown in Figure. 2(a). Boundary conditions were applied
        
        
          to those regions of the model where the displacements and/or
        
        
          rotations were known. Bottom soil boundary nodes were
        
        
          considered as fixed against displacements and rotations at all
        
        
          directions. At the side soil boundary, nodes displacement and
        
        
          rotation were allowed only in vertical Z direction.
        
        
          The soil-pile interaction was modelled using surface-to-
        
        
          surface contact algorithm, where relative movement between
        
        
          soil and pile was allowed for considering friction. The
        
        
          tangential contact between the pile and the surrounding soil was
        
        
          defined using Coulomb's Law with a friction coefficient
        
        
          estimated by the tangent of the friction angle between the two
        
        
          materials. The normal behaviour was considered to be hard (no
        
        
          penetration to each other) allowing separation after contact.
        
        
          Figure 2. Three Dimensional Finite Element Model of Soil-Pile System:
        
        
          (a) 3-D view and (b) Sectional view.
        
        
          The whole system was modelled in six layers of soil as
        
        
          found in site investigation (Manna and Baidya, 2009) and the
        
        
          sectional view of the model is shown in Figure. 2(b). The
        
        
          phreatic level was considered 1.25 m below the ground surface
        
        
          and the effective soil pressure was applied in the whole
        
        
          geometry according to this phreatic line. Soil behaviour was
        
        
          considered as elasto-plastic. The displacement of soil had both a
        
        
          recoverable and non-recoverable component under load.
        
        
          Therefore, there was a need to include a failure criterion in the
        
        
          elastic models to define the stress states that would cause the
        
        
          plastic deformation. Mohr-Coulomb model was adopted for soil
        
        
          to simulate the elasto-plastic behaviour. For analysis the FE
        
        
          model material damping was considered. The Rayleigh damping