Non-linear hydroelastic vibration of a cantilever cylindrical tank—I. Experiment (empty case)

Nonlinear Vibrations of Simply Supported, Circular Cylindrical Shells, Coupled to Quiescent Fluid

“…Only undamped free vibrations were investigated. Chiba (1993a) studied experimentally large amplitude vibrations of two cantilevered circular cylindrical shells made of polyester sheet. He found that almost all responses have a softening nonlinearity.…”

Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells

“…They derived the system of modulation equations and studied periodic solutions, their bifurcations and chaotic motions. Detailed review of experimental results of cylindrical shells nonlinear oscillations is presented in the paper [14], where the experimental data of bifurcations of traveling waves, the regions of beating and subharmonic oscillations are reported. Manevich [15] considered free oscillations of rings taking into account an energy exchange between conjugate modes.…”

Experimental Study on Large-Amplitude Vibrations of Water-Filled Circular Cylindrical Shells

“…Few experimental studies on large-amplitude vibrations of empty and #uid-"lled shells are available. Experiments on empty shells have been reported by Olson (1965), Kan a et al (1966), Kan a (1966), Matsuzaki & Kobayashi (1969), Chen & Babcock (1975), Chiba (1993b) and Koval'chuk & Lakiza (1995). In particular, Olson (1965), Kan a et al (1966), Kan a (1966) and Chen & Babcock (1975) tested ring-supported shells by using an acoustic excitation that does not allow controlling the excitation pressure transmitted to the shell.…”

“…This excitation control is di!erent from the classical force control in the measurement of the shell response; however, the main aim of this work was to measure the backbone curve, indicating the nonlinear resonant characteristic. Chiba (1993b) found that almost all responses have a softening nonlinearity. He observed that for modes with the same axial wavenumber, the weakest nonlinearity (as usual, of softening type) can be attributed to the mode having the lowest natural frequency.…”

“…Matsuzaki & Kobayashi (1969) carried out experiments on clamped shells; no information was given on the excitation control. Chiba (1993b) tested two cantilevered circular cylindrical shells made of polyester sheet and used an accelerometer to control the excitation amplitude. This excitation control is di!erent from the classical force control in the measurement of the shell response; however, the main aim of this work was to measure the backbone curve, indicating the nonlinear resonant characteristic.…”