Deterministic behavior of elevated water tanks under vertical motion

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Title: Deterministic behavior of elevated water tanks under vertical motion
Author: Gau, Jin-shy
Abstract: The 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 .
URI: http : / /hdl .handle .net /2346 /22519
Date: 1985-12

Citation

Deterministic behavior of elevated water tanks under vertical motion. Master's thesis, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /22519 .

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