Research On The Basic Selection And Reliability Analysis Based On The Theory Of Fuzzy Mathematics

The foundation is the most important part of the structure of the building.The reliability of superstructure is affected by the reliability of foundation.Choosing a reasonable foundation type can not only ensure the safety and stability of the building,but also reduce the cost.After the building is completed,in order to meet the requirements of design service life,it must have enough reliability.In the code,the design service life of the foundation should be greater than or equal to the service life of the building structure itself,so the reliability of the foundation must meet the requirements.Generally,engineering experience is the main method to determine the foundation type,so it is difficult to achieve optimization.At present,there is little research on the foundation reliability and no systematic scientific theoretical system has been formed.This paper combines the improved analytic hierarchy process with the fuzzy comprehensive evaluation method based on fuzzy mathematics to optimize the foundation selection and analyze the foundation reliability.The main results are as follows:(1)After summarizing the advantages and disadvantages of the traditional analytic hierarchy process,this paper proposes to improve the analytic hierarchy process from the two aspects of scale value and judgment matrix,and gives the specific calculation steps.(2)Combined with the improved analytic hierarchy process(ahp)and fuzzy comprehensive evaluation,a hierarchical submodel of basic optimization selection is established and applied to a concrete engineering example.Through the numericalsoftware of PLAXIS 3D 2013,the numerical analysis of the optimized foundation type is carried.out.The simulation results prove that the optimized foundation meets the design requirements and the rationality of the optimized model is proved.(3)For the first time,a detailed foundation reliability analysis model is established,mainly from the three aspects of foundation bearing capacity,foundation settlement and foundation durability,and the sub influencing factors of each influencing factor are respectively established a detailed membership function and the corresponding function image.(4)Combined with the engineering example,the established model is used to analyze the reliability of its foundation,and compared with the test results of professional testing institutions,the results are consistent,which proves that it is feasible to use the improved AHP and fuzzy comprehensive evaluation to evaluate the reliability of the foundation,so as to provide reference for similar projects.