Abstract
When a circular loosely supported tube is subjected to fluid forces and vibrates with large amplitude, the tube continually collides with the support structures and wears. As a result, the tube is considered to reveal a strong non-linearity such as chaotic beheviors depending on the support conditions and fluid flow conditions. In this study, a cantilever tube with a loose support at the free end is mathematically modeled based on the FEM and nonlinear vibration analysis is performed by using the DAE (Differential Algebraic Equation) for the random fluid force. The chaotic behaviors and the wear damages are investigated for those fluid forces by taking the tube damping ratio and the gaps etc. as parameters. Moreover, the influences of the chaotic phenomena on the wear volume deviation from the deterministically predicted value at the portion of a tube support structure are discussed.
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