.... Bifurcation sets are calculated to examine the influence of the system parameters on the excitation frequency range of ILMs and determine the threshold value for the connecting spring constant above which ILMs do not appear. Experiments were conducted for N = 2, and the data were compared with the theoretical...

... Same as Fig. 11 , but K 1  = 0.04 Figure 14 shows the bifurcation sets in the ( ω , K 1 ) plane, including the cases of Figs. 11 , 12 , and 13 . Sets B ¯ and C ¯ are independent of the value of K 1 . Sets Q ¯ and R ¯ exist outside...

... than a rectangular TLD. Furthermore, when the tank breath is changed, the response curves become more complicated as detailed in bifurcation sets. (4) When the spring constant of the structure is increased for low liquid levels, Hopf bifurcations followed by amplitude modulated motions can...

..., including chaotic vibrations, appear after the Hopf bifurcation when the excitation frequency decreases. Lyapunov exponents are numerically calculated to prove the occurrence of chaotic vibrations. Bifurcation sets are also calculated to investigate the influence of the system parameters on the response...