This thesis studies the behavior of dam-reservoir systems under seismic action. Due to the interaction that takes place between these systems it's impossible to analyze the dam on its own, the reservoir doesn't act as a external load alone but it changes the dynamic properties of the dam too. An approximation is studied and programmed in the thesis, this approximation is based on the principle of dynamic substructuring. The system is formulated in the frequency domain.
The program was written on Mathematica.
Idealized fluid-structure systems
Governing finite elements equations
Governing finite elements equations (frequency domain)
The following simplifications are introduced in order to derive the method:
Vertical upstream
Reservoir of constant depth
Only the horizontal components of the earthquake are considered
The structure is discretized using the finite element method whereas the fluid is treated analytically.
The Koyna dam was severely damaged during an earthquake that occurred in 1967.
The dam is analyzed using quadrilateral plane strain elements. The modes and the period of the dam are shown.
The effect of the reservoir on the dynamic properties of the dam are shown.
The reservoir reduces the natural frequencies of the dam, the water acts as an added mass on the dam system. The natural frequencies were obtained using a full finite element analysis incorporating elements to model the fluid and elements to model the dam.
The approximation method was then used to analyze the behavior of the dam under the effect of the earthquake. The stress peaks around the same elevation where the cracks developed in during the earthquake.
Stresses obtained by FEM. The peak of the stress correspond to the location of the cracks that developed during the real earthquake.
Crack locations during the 1967 earthquake