# A Theory for Fluidelastic Instability of Tube-Support-Plate-Inactive Modes

TL;DR: A mathematical model, which incorporates all motion-dependent fluid-forces based on the unsteady flow theory, is presented here to simulate the characteristics of fluidelastic instability of loosely supported tubes in the stable and unstable region associated with TSP-inactive modes.

Abstract: Fluidelastic instability of loosely supported tubes, vibrating in a tube support plate (TSP)-inactive mode, is suspected to be one of the main causes of tube failures in some operating steam generators and heat exchangers. A mathematical model, which incorporates all motion-dependent fluid-forces based on the unsteady flow theory, is presented here for fluidelastic instability of loosely supported tubes exposed to nonuniform crossflow. In the unstable region associated with a TSP-inactive mode, the tube motion can be described by two linear models: TSP-inactive mode when tubes do not contact with the TSP and TSP-active mode when tubes contact the TSP. A bilinear model, consisting of these linear models, is presented in this paper to simulate the characteristics of fluidelastic instability of loosely supported tubes in the stable and unstable region associated with TSP-inactive modes. The analytical results are compared with published experimental data; they agree reasonably well. The prediction procedure presented for fluidelastic instability response of loosely supported tubes is applicable in the stable regions of TSP-inactive mode. 25 refs., 10 figs., 2 tabs.

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### Cites methods from "A Theory for Fluidelastic Instabili..."

...[10] reported a theoretical investigation of the fluidelastic instability of loosely supported tubes in nonuniform crossflow, wherein the unsteady flow ADVANCES in DYNAMICAL SYSTEMS and CONTROL...

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