STUDIES OF DYNAMIC RESPONSE OF LIQUID STORAGE TANKS (FOUNDATIONS, RINGS, VIBRATION, DISCS)
Doctor of Philosophy
This dissertation consists of four parts. The first part deals with the response of liquid storage tanks to a vertical component of ground motion. Galerkin's method is used to solve this problem approximately, and its accuracy is established by comparing the results with those obtained by the exact modal superposition method. The effects of soil structure interaction are examined, and a simple practical design procedure is proposed for providing for these effects. The second part deals with the response of liquid storage tanks to a horizontal component of ground shaking. The problem is analyzed by application of the Rayleigh-Ritz procedure in combination with Lagrange's equation. The details of the method of analysis are presented along with comprehensive numerical data which may be used readily in design applications. The third part of the dissertation deals with the response of liquid storage tanks, both rigid and flexible, to a rocking component of ground shaking. Emphasis is placed on understanding the behavior of the tank-liquid system and establishing the interrelationship of the responses of the system to rocking and to a lateral, translational motion. The fourth part deals with the harmonic response of massless ring foundations supported on a homogeneous elastic halfspace and subjected either to a vertical force or an overturning moment. The theory of elastic wave propagation is used to obtain the impedance functions. The method of analysis takes due account of the mixed boundary conditions at the surface of the halfspace. The effect of foundation mass on the response is also studied for the vertically excited system. The reported data are believed to be of high accuracy.