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        Stability analysis of an axially moving free-free beam

        Han Guangcai,Liu Fei,Wu Yanhong,Wang Wei 대한기계학회 2020 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.34 No.5

        This study investigates the stability of an axially moving free-free beam as afunction of moving speed, modulus of elasticity, and axial tensile force. The mode shapes of thebeam under different axial tensile forces are also discussed. In this study, we derive the equationsof motion of a flexible free-free beam with a uniformly circular cross section that movesaxially at a constant speed. Using Galerkin’s technique, we dicretize and reduce the nonlinearpartial differential equation of motion to a set of ordinary differential equations by choosing theshape functions to be the eigenfunctions of a free beam. The state-space method is used toinvestigate the stability of an axially moving free beam for different cases. Numerically, the stabilityof the system is influenced by different cases in various ways and degrees. The transversevibration modes with different tensile forces are also considered in this study.

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        Optimal design of nuclear power plants containment with tuned mass damper inerter device for earthquake loadings

        Guangcai Han,Yanhong Wu,Gangling Hou,Zhihua Yue 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.11

        In this paper a novel passive device defined as the tuned mass damper inerter (TMDI) is studied to control the response of a base-isolated nuclear power plant containment (BI-NPPC) structures under stochastic horizontal ground motions. A new method of connecting TMDI to the isolation foundation is proposed. Recently, the TMDI has been introduced as a generalization of the classical TMD to achieve enhanced performance. Consider the case of a base-isolated structure equipped with a TMDI device, which is served as a base-isolated nuclear power plant containment. A particular arrangement of mechanical gearings (inerter) attached to TMD is set, optimum parameters of this system are found based on a simplified two degree of freedom model that reflects the dynamic properties of both the isolation structure and the TMDI. A straightforward numerical approach is developed for the optimal design of this device considering a white noise ground excitation, and a simplified analytical solution for the optimal design of TMDI parameters are introduced and compared with the numerical results in terms of the optimum frequency ratio, the optimum damping ratio and enhanced performance. Within a probabilistic framework, the influence of soil conditions is investigated by modeling the seismic ground motion as a filtered Gaussian random process. Different filter parameters are considered that may be associated with firm, medium or soil conditions depending on the frequency content of the power spectral density function. Several natural recorded accelerograms are also selected to scrutinize the effectiveness of the TMDI isolated-base structure via timedomain analyses. Properties of the BIS are considered in respect of its damping and stiffness. It can be concluded that higher control performances are achieved when lower values of base isolation sub-system damping ratio are used, however, the control performances of the TMDI are basically not affected by small variation of the natural frequency of the isolated-base structure.

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