ACCOUNTING FOR THE ADDED MASS OF WATER OF RESERVOIR IN CALCULATION OF SEISMIC ACCELERATIONS FOR PRESSURE HYDRAULIC STRUCTURES
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Abstract
The analysis of domestic and foreign studies on the issue of hydrodynamic pressure of water on the pressure face of hydraulic structures under dynamic influences is carried out. The authors have developed an alternative method for numerically analytical solution of the problem of seismic water pressure on the inclined pressure face of the dam. Based on the grapho-analytical solution of the Laplace equation under specified boundary conditions, hydrodynamic grids and diagrams of the distribution of the coefficient of the attached mass of water for pressure faces with a vertical angle of 0...75 degrees are constructed, the obtained solution is compared with the reference solution of Westergaard, Zangar, as well as recommendations of relevant regulatory documentation. Based on the conducted research, a nomogram was constructed to determine the coefficient of the attached mass of water. The obtained results are approximated by a quadratic function, which allows us to obtain the values of the coefficients of the combined mass of water depending on the vertical angle of inclination of the pressure face and the relative depth of the element location on the pressure face, which is used in the algorithm of the calculation program for computers. A graph of the change in the hydrodynamic force acting on the structure, depending on the vertical angle of inclination of the pressure face, is given, the accuracy of plotting is investigated depending on the number of elements on the pressure face. On the basis of the linear spectral method, accelerations in the elements of the pressure face of dams of various designs are calculated, both taking into account the attached mass of water and without. The results obtained indicate a significant effect of the attached mass of water on seismic accelerations not only on the crest of a concrete gravity dam, but also in the zone of the upper slope of groundwater dams. The increase in accelerations in these zones is up to 30% for concrete dams and about 10% for ground dams.
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