Dynamic Analysis of Laterally Loaded End-Bearing Piles in Homogeneous Viscoelastic Soil Using Timoshenko Beam Theory: Fid-Bau Portal

Dynamic Analysis of Laterally Loaded End-Bearing Piles in Homogeneous Viscoelastic Soil Using Timoshenko Beam Theory

Gupta, Bipin K. / Basu, Dipanjan

An approximate semi-analytical method is developed to obtain the dynamic response of laterally loaded end-bearing piles embedded in a homogeneous soil. In the analysis, the soil is modeled as a three-dimensional viscoelastic continuum, and the pile as an elastic Timoshenko beam with solid circular cross-section. The Timoshenko beam theory is used to include the effects of shear deformation and rotatory inertia of the pile cross-section that might be important for short stubby piles and for piles subjected to high frequency loading. In the analysis, the horizontal soil displacements are expressed as products of separable functions, and the extended Hamilton’s principle in conjunction with the calculus of variations is used to obtain two sets of coupled differential equations governing pile and soil motions, along with the relevant boundary conditions. The coupled equations are solved analytically and numerically following an iterative algorithm. The pile differential equations and boundary conditions can be simplified to obtain the Euler-Bernoulli beam theory representing the pile behavior. Complex dynamic pile-head impedances are obtained from the present analysis using the two beam theories.