Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space
Abstract The precise integration method (PIM) is proposed for the dynamic response analysis of rigid strip footing resting on arbitrary anisotropic multi-layered half-space. In the frequency domain, the governing equation of wave motion is converted into dual vector form of first-order ordinary differential equations which is solved by PIM. Each layer is divided into a large number (say, 2N) of mini-layers of equal thickness, within which characteristic matrices are assumed to vary following the Taylor series expansion to the fourth order. As a result, any desired accuracy of the displacements and stresses can be achieved by PIM. In addition, dual vector form equation makes it quite easily to combine two adjacent mini-layers into a new one. Each pass of combination reduces the total number of mini-layers by a half. The computational effort for the evaluation of the dynamic impedance of rigid strip footing can be reduced to a great extent. Numerical examples are provided to validate the efficiency and accuracy of the proposed approach.
Highlights ► A new approach for the dynamic response analysis of soil-footing interaction. ► The soil can be any anisotropic multi-layered half-space. ► PIM can solve problem with less calculated effort and high accuracy. ► PIM can avoid the index overflow problems of transfer matrices method. ► No limitation is imposed on the thickness of the layer for the new approach.
A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space
Abstract The precise integration method (PIM) is proposed for the dynamic response analysis of rigid strip footing resting on arbitrary anisotropic multi-layered half-space. In the frequency domain, the governing equation of wave motion is converted into dual vector form of first-order ordinary differential equations which is solved by PIM. Each layer is divided into a large number (say, 2N) of mini-layers of equal thickness, within which characteristic matrices are assumed to vary following the Taylor series expansion to the fourth order. As a result, any desired accuracy of the displacements and stresses can be achieved by PIM. In addition, dual vector form equation makes it quite easily to combine two adjacent mini-layers into a new one. Each pass of combination reduces the total number of mini-layers by a half. The computational effort for the evaluation of the dynamic impedance of rigid strip footing can be reduced to a great extent. Numerical examples are provided to validate the efficiency and accuracy of the proposed approach.
Highlights ► A new approach for the dynamic response analysis of soil-footing interaction. ► The soil can be any anisotropic multi-layered half-space. ► PIM can solve problem with less calculated effort and high accuracy. ► PIM can avoid the index overflow problems of transfer matrices method. ► No limitation is imposed on the thickness of the layer for the new approach.
A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space
Lin, Gao (Autor:in) / Han, Zejun (Autor:in) / Zhong, Hong (Autor:in) / Li, Jianbo (Autor:in)
Soil Dynamics and Earthquake Engineering ; 49 ; 96-108
20.01.2013
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
| British Library Online Contents | 2013
An efficient approach for dynamic impedance of surface footing on layered half-space
| British Library Online Contents | 2013
An efficient approach for dynamic impedance of surface footing on layered half-space
| Online Contents | 2013