基于未确知数学理论的地基承载力验算

Bearing Capacity Checking of Foundation Based on Uncertain Mathematic Theory

传统的地基承载力验算方法中忽略了参数的未确知性,将其完全按照确定信息处理,计算结果不够全面科学。采用未确知数学的运算理论,将未确知有理数应用于地基承载力验算中,并用传统的验算方法结果进行了对比。结果表明,传统的设计方法分析得到的结论是地基承载力满足,未确知数学理论的结论是地基承载力不能满足要求的概率是1/4,基本不能满足要求的概率是3/8,说明该基础的底面尺寸并不是在任何情况下都满足承载力的要求,建议增大基础底面积以增加安全储备。未确知有理数能更好地考虑参数的不确定性情况,与常规方法相比计算结果更详实可靠,可以推广到其他领域的分析计算中。

The computation result by using the routine checking method for foundation bearing capacity is not scientific enough if the uncertainty existing in parameters is ignored.Here,the uncertain rational number is applied in checking of foundation bearing capacity based on the uncertain mathematic theory,and compared with the traditional method.The compared results for two different methods indicate that the uncertain rational number could consider better the uncertainty of computation parameters,and the computation result is more detailed and reliable compared with the routine method,so it can be popularized to other fields.