| Deflection control of concrete flexural members is important i n the design of limit states for normal use of structures.In principle,it should ensure that the maximum deflection limit of members wouldn’t affect the normal use of structures.However,in practical engineering,great fuzziness often exists in the deflection limit,which will affect the reliability of deflection control of the element.With the development of fuzzy mathematics,the fuzzy reliability theory of structures has gradually been formed.So far the membership function of fuzzy mathematics is ma inly used to describe the fuzziness of deflection limit at home and abroad,and then an analysis model of fuzzy reliability is established to analyze the influence of fuzziness on reliability.However,in the calculation and analysis,different methods of building membership functions will cause different reliability analysis results.In addition,in the fuzzy statistics of deflection limits of concrete flexural elements,the investigation in the border of the fuzzy sets are also ignored,thus the real intention of the people who are investigated cannot be accurately reflected.In order to analyze the reliability of deflection control of concrete flexural members more accurately,to improve the generation method of membership function,and establish a new reliability analysis model on this account,so as to fully reveal the reliability of deflection control of concrete flexural elements at present.The main researches are as follows: proposing an indirect statistical method of membership functions w hich takes the border of the fuzzy sets as statistical objects,which aims at the drawbacks of the current generation mode of membership functions;generating a membership function corresponding to different deflection limits of concrete flexural members through gro up investigation and statistical analysis;establishing a dimensionless fuzzy reliability analysis model for member deflection control,which aims at the deficiency of the current reliability analysis model;proposing a relatively simple analysis method for the complicated multi-dimensional integral operation in the current fuzzy reliability calculations of members.On the basis of the above researches,the reliability of deflection control of reinforced concrete flexural members and prestressed concrete members is comprehensively analyzed and revealed.In addition,the research in this paper can provide reference for improving the deflection control method of concrete flexural members. |
