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球面扁壳是一种新型的大跨度楼盖形式。若要将这种楼盖应用于高温厂房,则必须要考虑它在室内外温度差作用下的温度应力问题。虽然,在1951年符拉索夫就管提出过扁壳热应力问题的理论,但是他的基本方程看来是可疑的。因此本文选择了胞罗金文章中提出的基本方程作为出发点重新作了推广。对于四边简支的矩形底球面需壳,我们把问题归结为求解三个独立无关的二阶偏微分方程的边值问题。而在内外温度都为常数
Spherical flat shell is a new type of large-span floor form. To apply this kind of floor cover to a high-temperature plant, it is necessary to consider the problem of temperature stress under the influence of indoor and outdoor temperature differences. Although, in 1951 Vlasov put forward the theory of the shallow shell thermal stress problem, his basic equation seems suspicious. Therefore, this paper chooses the basic equations proposed in the cell Luojin article as a starting point to promote it again. For the simple bottomed spherical bottom shell with four edges, we attribute the problem to solving the boundary value problem of three independent second-order partial differential equations. The internal and external temperatures are all constant