Vibration Analysis Of Building Structures Based On Mono-or Multi-source Fuzzy Number

With the rapid development of industry and the tension of industrial land usage of China, the planning roads or track traffics are closer to the building for living. business or advanced technology than before. So the vibration induced by these traffic loads propogates to the surrounding buildings.which often causes the uncomfort of living residents, staffs of business, the patients of hospitals, even the abnormal of high-precision instruments. Thus.it is necessary to predict the vibration induced by the surrounding traffic loads before constructing the buildings.The traditional structure design, which is based on probability and stochastic theories, usually becomes insufficient to obtain satisfactory results if the design parameters lack statistical information or are fuzzy. In fact, the traditional vibration analysis of buildings induced by running vehicles is very complicated since it involves many complex factors such as vehicle weight, speed, type of pavement or track, soil parameter, basement and structure type of the building itself. It is urgently need a new method to overcome these defects of traditional analysis.This paper facuses on the building's structure vibration responses analysis based on the mono-, multi-source fuzzy number, and evaluating the vibration results by the ISO2631 standard,and these building vibrations are caused by the surrouding traffic loads. The main research works can be described as follows:1 Perfection of fuzzy methodology. To overcome the losing sharpness problem associated with the standard fuzzy mixed operations, we propose to use the concept of mono- or multi-source fuzzy number to improve the fuzzy mixed operations. By the physical conceptions of mono-.multi-source fuzzy parameters of structures, we give new basic four and mixed operation principles. The example fuzzy interval results based on mono- or multi-source fuzzy number are more narrow than the standard fuzzy number operations. And the new mixed operations obey distributive and associative law.2 The ralated derivation of structural linear vibration svstem based on mono- or multi-source fuzzy number operations. Then, the dynamic characteristics of undamped free vibration systems of multi-degree of freedom (MDOF) with single or multiple fuzzy parameters and the frequency response functions,the fuzzy vibration responses of linear damped vibration systems of MDOF are discussed. The example results show that, the fuzzy results are equal to the traditional certain vibration analysis method when the fuzzy parameters degrade to the detemined conditions.3 Here, a practical engineering structure with fuzzy parameters is investigated as an example. The vibration of this building is evaluated based on the international standard ISO2631-1:1997. The analysis using the mono- or multi-source fuzzy number is given. Compared with the traditional certain vibration analysis method, the new method does not consider the vehicle weight, speed, pavement or track type, soil parameter, basement and structure type of the buildings, etc, if it is difficult to acquire the information of these parameters. It is shown that, using some vibration data from site test, the vibration response can be readily analyzed according to the structure fuzzy dynamic analysis steps proposed in the thesis. The results may be valuable to the design of the building before its construction.