RANDOM OSCILLATIONS OF LIQUID IN THE U-SHAPED PIPE WITH PRONOUNCED RUGOSITY AND THE NON-LINEAR DAMPING FORCE

Abstract

The present paper consists of discussion on dynamic response of oscillators under random load. This paper is concerned with forced oscillations of fluid. A major problem of fluid dynamics is that the equations of motion are non-linear. Therefore, it is necessary to replace the nonlinear system with an equivalent linear system. Method of equivalent linearization has been extensively used in these engineering applications. A substantial reference list of workin this area can be found in Roberts and Spanos. In general, and especially in random vibration analysis, it is difficult to obtain a closed form solution for dynamic response of a nonlinear system.