Browsing by Subject "Cylinders -- Vibration"
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Item Deterministic behavior of elevated water tanks under vertical motion(Texas Tech University, 1985-12) Gau, Jin-shyThe dynamic response of 3n elsstic structure carrying 3 rigid cylindrical tank partially filled with a liquid subjected to vertical sinusoidal harmonic excitation Is considered. The nonlinear response is determined by using an asymptotic expansion technique developed by Struble. Secular terms which give rise to parametric resonance conditions are identified. Four parametric resonance conditions are found to take place when the excitation frequency is in the neighborhood of twice the natural frequency of one of the normal modes, or close to the sum or difference of the normal mode frequencies of the system. The steady-state responses of the system are obtained for the first three parsmetric resonance conditions and show the occurrence of the jumps phenomenon at a certain critical excitation frequency. Under combination parametric resonance of difference type the method does not provide any steady state response.Item Response of a nonlinear two-degree-of-freedom system to a horizontal harmonic excitation(Texas Tech University, 1985-12) Li, WenlungAn elastic structure containing a fluid subjected to a horizontal sinusoidal excitation is investigated. The system is found to include cubic nonlinearities. The system response is determined by using the multiple scales asymptotic approximation method. The method predicts that primary resonances may occur when the excitation frequency, Ω is close to either the first mode natural frequency, ω1, or the second mode natural frequency, ω2. The system behavior under the fourth order internal resonance condition (ω2 ≈ 3ω1) is predicted. The system response under conditions of primary resonances (Ω ≈ω1 and Ω≈ω2), together with internal resonance is also considered. Other features, such as amplitude jump phenomenon and chaotic-like response have been observed. Two possible responses have been found when Ω is near ω2 = unlmodal response and autoparametric interaction response. The boundaries of these two motions are defined in the excitation amplitude - frequency plane. Moreover, the so called "static attractor" is also observed.