A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Axisymmetric Vibration of an Elastic Circular Plate in an Inhomogeneous Half-Space
The response of foundations in soil is a complicated problem due to the inhomogeneity of the soil and inertial effects of the ground. A wide range of applications exist in geotechnical design of foundations and piles. The present work introduces a rigorous solution methodology to obtain the response of a rigid circular foundation under the effect of a torque. Due to the action of the evolving torsional moment, the ground beneath the foundation undergoes a complicated state of stress and displacement. It is shown mathematically that the initial boundary value problem can be formulated to a set of time dependent displacement-stress boundary conditions. A novel treatment of the arising dual integrals describing the state of displacement and stress leads to an evolving set of linear algebraic Fredholm integral equations of second kind where the problem is solved numerically. A rigorous parametric study is carried out to illuminate the effect of inhomogeneity and the interaction of the elastostatic vs elastodynamic simulations. The proposed analytical and numerical methodology serves as a unified guide for solving a wide class of foundation structure interaction problems.
Axisymmetric Vibration of an Elastic Circular Plate in an Inhomogeneous Half-Space
The response of foundations in soil is a complicated problem due to the inhomogeneity of the soil and inertial effects of the ground. A wide range of applications exist in geotechnical design of foundations and piles. The present work introduces a rigorous solution methodology to obtain the response of a rigid circular foundation under the effect of a torque. Due to the action of the evolving torsional moment, the ground beneath the foundation undergoes a complicated state of stress and displacement. It is shown mathematically that the initial boundary value problem can be formulated to a set of time dependent displacement-stress boundary conditions. A novel treatment of the arising dual integrals describing the state of displacement and stress leads to an evolving set of linear algebraic Fredholm integral equations of second kind where the problem is solved numerically. A rigorous parametric study is carried out to illuminate the effect of inhomogeneity and the interaction of the elastostatic vs elastodynamic simulations. The proposed analytical and numerical methodology serves as a unified guide for solving a wide class of foundation structure interaction problems.
Axisymmetric Vibration of an Elastic Circular Plate in an Inhomogeneous Half-Space
Yaghmaie, Reza (author) / Asgari, Hamidreza (author)
Fourth Geo-China International Conference ; 2016 ; Shandong, China
Geo-China 2016 ; 65-72
2016-07-21
Conference paper
Electronic Resource
English
Axisymmetric Vibration of an Elastic Circular Plate in an Inhomogeneous Half-Space
| British Library Conference Proceedings | 2016
| British Library Conference Proceedings | 1995