论文部分内容阅读
建筑物的沉降计算方法有:分层总和法、等值层法及叶果罗夫法等。其中叶果罗夫法,根据空间半无限体线性变形介质理论,考虑到了所有三个应力分量;这种方法在理论上是比较严密的。叶果罗夫法,给出了圆形、矩形柔性基础以及圆形、条形刚性基础的精确沉降计算式。而对于矩形刚性基础,其接触应力,因为数学上的困难,目前尚未获得解答,故只给出了沉降计算的近似解。这是叶果罗夫方法的不完整之处。对于薄壳基础来说,因几何形状复杂,接触应力的解,更难获得,故沉降计算尚属空白。为了填补这个空白,本文将突破传统的方法,按能量守恒的法则,推导矩形刚性基础及
Settlement calculation methods for buildings include stratified sum method, equivalent layer method, and Yegorov method. Among them, Yegorov’s method considers all three stress components according to the theory of linear semi-infinite linear deformation media; this method is theoretically more rigorous. The Yegorov method gives accurate settlement calculations for circular and rectangular flexible foundations as well as circular and strip-shaped rigid foundations. For the rectangular rigid foundation, the contact stress, because of its mathematical difficulties, has not yet been solved, so only the approximate solution to the settlement calculation is given. This is the incompleteness of the Yegorov method. For thin-shell foundations, due to the complex geometry, solutions to contact stresses are more difficult to obtain, so settlement calculations are still blank. In order to fill this gap, this article will break through the traditional method and deduce the rectangular rigid foundation and the principle of conservation of energy.