美國國際學術會議

1、1 1ASCE Earth and Space Conference, 2016 Reporter：Institution:Date:3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature ComponentOutline1Introduction2The Establishment of the 3D Geospatial Function monitoring model3The Solution of the 3D Geospatial F

2、unction monitoring model4Case Study3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component Part1 Introduction 1 IntroductionThe mon

3、itoring model of arc dam deformation based on monitoring data provides basis for the evaluation of arc dam safety. In the traditional monitoring model of arc dam deformation, water level component, temperature component, and timelines component are used to reflect arc dam deformation as follows:Wher

4、e is the water level component, is the temperature component, and is the timelines component. =+(1)HT HT3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component 1 IntroductionThe water level component:Where is the coefficient of water level and

5、 is the water level. The timeliness component: Where and are the regression coefficients and is the time factor from the starting day to the analyzing day 41=(2)iHiia HiaH12ln(3)cc1c2c 1 Introduction3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperatur

6、e Component 1 Introduction3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature ComponentFor the temperature component, it has two types:(1) Since the temperature change in arc dam lags behind the environmental temperature, and the temperature compone

7、nt has the linear relationship with the temperature of concrete. The linear combination of multi previous average temperature is used to show the temperature component as follows:Where is the regression coefficient and is the average temperature in the previous days. For arc dams, i =1，2，3，4. (2) Co

8、nsidering that the inner temperature of arc dam shows the simple harmonic motion with the environmental temperature and lags behind with the environmental temperature, and the temperature component has the linear relationship with the temperature of concrete. The temperature component is expressed a

9、s the linear combination of harmonic function with different periods:Where and are the regression coefficients, and is the time from the started day to the analyzing day, often equals to 2. 11121(, ,)(4)mTiii ibTii imibiT212122sincos(5)365365mTiiiititbb1ib2ibt 1 Introduction3D Geospatial Function Mo

10、nitoring Model of Arc Dam Deformation Based on the Improvement of Temperature ComponentTherefore, the traditional monitoring model of arc dam deformation is given as follows: orHowever, they are difficult to depict the deformation of arc dam caused by temperaturevariation comprehensively.For example

11、, the linear expansion coefficient of concrete when the temperature is around 0 is not fixed and it increases obviously when the concrete is in the frozen state, which is difficult to be depicted by the linear combination. Besides, only the influence of the environmental temperature and water on the

12、 temperature component is considered, and the influence of the water level on the temperature is not considered. However, the temperature component induced by different water levels are different, and the average air temperature or harmonic functions can not be used to depict the special changing pr

13、ocess when the water level increases from the lowest to the normal water level. Therefore, it is of great significance to improve the temperature component. 1 Introduction3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component114121=lnmiiiiiii

14、a Hb Tcc2412121122=sincosln365365miiiiiiitita Hbbcc Part2 The Establishment of the 3D Geospatial Function model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature ComponentAiming to the under-fitting problem and the linear form of temperature compon

15、ent in traditional monitoring model mentioned above, Integral concept is used to improve the temperature component:Where A is constant, is the coefficient of temperature component.And we expand it according to bivariate polynomial as follows: Three types of components for are used to reflect the dis

16、tribution of temperature component in time and space, in which harmonic function and linear function of time and linear function of reservoir water level H are included. The harmonic function, the linear function of time and the linear function of reservoir water level reflect the annual cycle chang

17、e rule of water temperature on air temperature, continuous change law of water temperature with the change of time and the spatial distribution of air temperature and water temperature in the dam body foundation. 0( ) ( )(6)TiitAb t T t d11( )(7)lmijTijijb ft T( )ib t( )f t 2 The Establishment of 3D

18、 Geospatial Function Model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature ComponentAfter the substitution of the three functions into equation (2) , the following equation is obtained:Where is constant, - are coefficients of polynomials, is the

19、changed temperature relative to the started monitoring day, is the up water depth, , , and are the numbers of influencing factors which are often chosen 2-3.Then space vectors is adopted to establish the 3D geospatial function monitoring model, in which the deformation of dam is the function of load

20、 set and space coordinates:Where is the reservoir water component, is the temperature component, and is the timeliness component. 3112111234011111122sincos(8)365365llmlmmjijijTijijijijijijijititbbTbt TbH Tb 0b1ijb4ijbTh1m1l2l3l 123112233, , , , ,=, , ,+, , ,+, , ,(9)=, ,+, ,+, ,f H Tx y zfH x y zfT

21、x y zfx y zff Hgx y zff Tgx y zffgx y z1, , ,fH x y z2, , ,fT x y z3, , ,fx y z 2 The Establishment of 3D Geospatial Function Model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component3D Geospatial function monitoring model based on the impr

22、ovement of temperature component: 1132114330121,011 ,033341=1 ,011 ,022sincos365365(12)lmilmnjlmnilmnijlmnijlmnil m nijl m nllmmijlmnijlmnijlmnijlmnijl m nijl m nititaaH x y zbbT x y zbt T x y zbH T x y z 2 The Establishment of 3D Geospatial Function Model3D Geospatial Function Monitoring Model of A

23、rc Dam Deformation Based on the Improvement of Temperature Component Part3 The Solution of the 3D Geospatial Function model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component(1) Based on stepwise regression method, the statistical model is

24、 built up and the factors which influence deformation prominently are selected. The regression coefficients of the prominent factors are treated as the control variable and the definition domain of the coefficients of influencing factors is estimated through the stepwise regression calculation, whic

25、h is conducted to avoid the poor efficiency caused by high randomness of the initial population. (2) Determining the fitness function Based on least square method, the objective function is obtained as follows:Where is the monitored deformation, is the calculated deformation, is the norm, is the num

26、ber of measured values. 3 The Solution of 3D Geospatial Function Model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component1 221minminmin(13)niiifdddd=驏琪=-=-琪桫 d 1,2,in(3) Optimal calculation based on the quantum genetic algorithm After dete

27、rmining the fitness function, coding scheme, genetic factor, and the end condition are selected to determine the optimal parameters in equation . The coefficients of the influencing factors are transformed into the decision variable and the optimal calculation was conducted according to quantum gene

28、tic algorithm. Then the obtained coefficients of the influencing factors were substituted into the monitoring model, and the 3D geospatial function monitoring model is obtained. 3 The Solution of 3D Geospatial Function Model3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the

29、Improvement of Temperature Component Part4 Case Study3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component 4 Case Study3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component A concrete arch dam which locates in Yunnan