Impedance of Bucket Foundations: Torsional, Horizontal and Rocking Motion

Modern offshore wind turbines are flexible structures with natural frequencies near the excitation frequencies related to wave and wind-induced loads. In order to obtain a reliable prediction of the structural response, the dynamic stiffness of the foundation must be evaluated accurately. This paper concerns the analysis of bucket foundations with focus on torsional motion and coupled horizontal sliding and rocking. The frequency-dependent stiffness is found by means of a three-dimensional coupled boundary-element/finite-element scheme. Comparisons are made with known analytical and numerical solutions, finding that the present boundary-element–finite-element model provides accurate results. The influence of the soil properties as well as the skirt length of the foundation is analysed, and each dynamic stiffness component is computed as function of a non-dimensional frequency.

[1]  John P. Wolf,et al.  Lumped‐parameter model for a rigid cylindrical foundation embedded in a soil layer on rigid rock , 1992 .

[2]  Anestis S. Veletsos,et al.  Torsional Vibration of Viscoelastic Foundations , 1974 .

[3]  Lars Vabbersgaard Andersen,et al.  Lumped-Parameter Models for Wind-Turbine Footings on Layered Ground , 2007 .

[4]  Lars Vabbersgaard Andersen,et al.  BEASTS - A computer program for boundary element analysis of soil and three-dimensional structures , 2001 .

[5]  Ricardo Dobry,et al.  Simple Radiation Damping Model for Piles and Footings , 1984 .

[6]  Lars Vabbersgaard Andersen,et al.  Impedance of Surface Footings on Layered Ground , 2005 .

[7]  Chris Jones,et al.  TEA - a suite of computer programs for elastodynamic analysis using coupled boundary and finite elements , 1999 .

[8]  J. Domínguez Boundary elements in dynamics , 1993 .

[9]  Luis Eduardo Pérez-Rocha,et al.  A simplified procedure for torsional impedance functions of embedded foundations in a soil layer , 1996 .

[10]  J. E. Luco,et al.  Tables of impedance functions for square foundations on layered media , 1985 .

[11]  Milos Novak,et al.  Torsional and coupled vibrations of embedded footings , 1973 .

[12]  George Gazetas,et al.  Horizontal Damping of Arbitrarily Shaped Embedded Foundations , 1987 .

[13]  Anestis S. Veletsos,et al.  LATERAL AND ROCKING VIBRATION OF FOOTINGS , 1971 .

[14]  George Gazetas,et al.  Rocking Damping of Arbitrarily-Shaped Embedded Foundations , 1989 .

[15]  José Domínguez,et al.  Dynamic response of axisymmetric embedded foundations , 1989 .

[16]  J. E. Luco,et al.  Dynamic Response of Circular Footings , 1971 .

[17]  Suhol Bu,et al.  COUPLED HORIZONTAL-ROCKING IMPEDANCE FUNCTIONS FOR EMBEDDED SQUARE FOUNDATIONS AT HIGH FREQUENCY FACTORS , 1999 .

[18]  Akira Mita,et al.  IMPEDANCE FUNCTIONS AND INPUT MOTIONS FOR EMBEDDED SQUARE FOUNDATIONS , 1989 .