Torsional oscillations of a single pile embedded in isotropic elastic foundation are investigated by means of integral equation methods. Firstly

the fundamental solutions of the isotropic elastic foundation subjected to an embedded harmonic torque are obtained using integral transform methods. Then

based on the fundamental solutions and compatibility conditions

the Fredholm integral equation of the second kind is established. After the numerical solution of the integral equation

the torque

torsional angle and dynamic compliance coefficients of the pile can be obtained and parameterized. The conclusions obtained have some guidelines for the design

calculation and the low strain dynamic torsional wave testing of pile foundations.