美国国际学术会议PPT

1 Introduction
The water level component:
H = ai H i
i 1
4
(2)
Where ai is the coefficient of water level and H is the water level.
The timeliness component:
Part2 The Establishment of the 3D Geospatial Function model
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
1 Introduction
The monitoring 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:
m2
2 it 2 it b2i cos 365 365
(5)
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
ASCE Earth and Space Conference, 2016
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
Reporter： Institution: Date:
1 Introduction
Therefore, the traditional monitoring model of arc dam deformation is given as follows: m 4 2 it 2 it m i 4 = a H b sin b cos i i 1 i 2 i c1 c2 ln = ai H bi Ti c1 c2 ln 365 365 i 1 i 1 or i 1 i i However, they are difficult to depict the deformation of arc dam caused by temperature variation comprehensively. For example, 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 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 process when the water level increases from the lowest to the normal water level.
T bi Ti
i i1 m1
Fra Baidu bibliotek
(i i1 , i2 ,, m1 )
(4)
Where bi is the regression coefficient and T is the average temperature in the previous days. i For arc dams, i =1，2，3，4. (2) Considering 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 as the linear combination of harmonic function with different periods:
1 Introduction
For the temperature component, it has two types: (1) Since the temperature change in arc dam lags behind the environmental temperature, and the temperature component 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:
2 The Establishment of 3D Geospatial Function Model
Aiming to the under-fitting problem and the linear form of temperature component in traditional monitoring model mentioned above, Integral concept is used to improve the temperature component: T A bi (t )Ti (t )dt (6)
0
Where A is constant, bi (t ) is the coefficient of temperature component.
And we expand it according to bivariate polynomial as follows:
T bij f i (t )T j
1
Outline
1
Introduction
2 The Establishment of the 3D Geospatial Function monitoring model 3 4
The Solution of the 3D Geospatial Function monitoring model Case Study
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
Part1 Introduction
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
c1 c2 ln
(3)
Where c1 and c 2 are the regression coefficients and is the time factor from the starting day to the analyzing day
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
i 1 j 1
l
m
(7)
Three types of components for f (t ) are used to reflect the distribution 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 change 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.
T b1i sin
Where b1i and b2i are the regression coefficients, and t is the time from the started day to the analyzing day, often equals to 2.
i 1
= H T +
(1)
Where H is the water level component, T is the temperature component, and is the timelines component.
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component
2
1 1
Therefore, it is of great significance to improve the temperature component.
3D Geospatial Function Monitoring Model of Arc Dam Deformation Based on the Improvement of Temperature Component