TORSIONAL VIBRATIONS OF RIGID CIRCULAR PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL

• Published in: Applied mathematics and mechanics Vol. 27; no. 11; pp. 1541 - 1548
• Main Author: 吴大志 蔡袁强 徐长节 占宏
• Format: Journal Article
• Language: English
• Published: Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China 01.11.2006; Department of Civil Engineering, Zhejiang Sci-Tech University,Hangzhou 310018, P. R. China%Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
• Subjects: Circular plates; Dynamics; Foundations; Integral equations; Mathematical analysis; Soil (material); Torsional vibration; Transforms; 刚性循环平板; 动态刚度系数; 扭转振动; 接触剪切应力; 横断等方性渗透土壤; transversely isotropic saturated soil; rigid circular plate; dynamical compliance coefficient; contact shear stress; torsional vibration
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-006-1112-z

An analytical method was presented for the torsional vibrations of a rigid disk resting on transversely isotropic saturated soil. By Hankel transform, the dynamic governing differential equations for transversely isotropic saturated poroelastic medium were solved. Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established. By appropriate transform, the dual integral equations were converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficient, the torsional angular amplitude of the foundation and the contact shear stress were expressed explicitly. Selected examples were presented to analyse the influence of saturated soil＇s anisotropy on the foundation＇s vibrations.