混凝土结构非稳态温度场的增维精细积分法

INCREMENT DIMENSION FINE INTEGRATION METHOD OF NON-STEADY TEMPERATURE FIELD FOR CONCRETE STRUCTURES

根据有限元原理推导出非稳态温度场空间上的有限元方程,并转换为以状态方程表示的非齐次方程,其次采用增维的方法将非齐次方程再化为齐次方程,最后用精细积分法导出了每一时间步内的解。结果表明,这是一种可行的、可靠的、稳定性好的数值方法。

Finite element equations for non-steady temperature of spatial domain is deduced and transferred into non homogeneous equation represented with state equation according to finite element principleThe above nonhomogeneous equation is transformed into homogeneous equation with increment dimension method.At last solution within time step length is deduced by precise integral method.Results show that it is a practical,reliable and good stable numerical method.