FREE-VIBRATION ANALYSIS OF TANK CONTAINING 2 LIQUIDS

A study of the dynamic characteristics of rigidly supported upright ci rcular cylindrical tanks containing two different liquids is presented . The governing differential equations for the tank-two-liquid system are obtained by application of the Rayleigh-Ritz procedure in combinat ion with Lagrange's equation. The response functions examined include the fundamental natural frequency, the associated mode of vibration an d hydrodynamic pressure exerted against the tank wall. Unlike the case s of tanks containing one liquid in which the dynamic response is cont rolled by four parameters, the dynamic response of a tank that contain s two liquids is controlled by six parameters. The numerical results a re presented in tabular and graphic forms, and are compared with those of the identical tank filled with one liquid. Also, a simple approxim ate equation for evaluating the fundamental natural frequency for prel iminary design is proposed.