Analyzing nonlinear vibrations of Euler–Bernoulli beam submerged in fluid exposed to band random excitation

This work examines the nonlinear vibrations of a clamped-free beam immersed in a fluid with a concentrated mass below narrow-band random loads, with an emphasis on examining its nonlinear response. Using the harmonic balance technique, the response variance of the structure is determined, and the phenomenon of random jump is explored. Both analytical solutions and numerical simulations demonstrate that random excitation amplifies the beam's random response compared to the definite response between bifurcation points. Moreover, a stretched cyclic state replaces a circular cyclic state in the stable response when the random excitation intensity is increased. The results also show that areas with three possible solutions for the structure frequently have random jump areas. Ultimately, analytical and numerical findings exhibit strong agreement, validating the effectiveness of both approaches in analyzing the system's behavior.