弹性半空间地基板的求解  

On solution of system of half-space elastic foundation plate with principle of minimum potential energy

作　　者：李忠洁 

机构地区：[1]河南理工大学土木工程学院,河南焦作454003

出　　处：《河南城建学院学报》2014年第6期17-22,共6页Journal of Henan University of Urban Construction

摘　　要：将地基板和地基之间的接触分布力视为地基的外力,并将接触分布力进行离散化,依次加载到地基上,利用弹性力学中的叠加原理,推导出了地基中储存的弹性势能公式,建立了地基和地基板体系的势能表达式,并利用最小势能原理求解出了地基和地基板的沉降。推导出的势能公式可作为研究建筑结构与地基共同作用原理的理论基础。The contact stress between the foundation and plates is regarded as external force to foundation in this paper. The contract stress is discrete and exerts on elastic foundation sequentially. The potential energy function of foundation is derived by using superposition theorem. The potential energy functions are given for the whole system of foundation and plates. The displacement and stress state can be calculated with the principle of minimum potential energy. The potential energy function formulas presented in this paper can be used as the theory foundation to study the interaction principle of structure and foundation.

关 键 词：弹性半空间地基 弹性地基板 最小势能原理 叠加原理 

分 类 号：TU470.3[建筑科学—结构工程]