Fluid-structure coupling of concentric double FGM shells with different lengths

Abstract

The aim of this study is to develop a semi-analytical method to investigate fluid-structure coupling of concentric double shells with different lengths and elastic behaviours. Co-axial shells constitute a cylindrical circular container and a baffle submerged inside the stored fluid. The container shell is made of functionally graded materials with mechanical properties changing through its thickness continuously. The baffle made of steel is fixed along its top edge and submerged inside fluid such that its lower edge freely moves. The developed approach is verified using a commercial finite element computer code. Although the model is presented for a specific case in the present work, it can be generalized to investigate coupling of shellplate structures via fluid. It is shown that the coupling between concentric shells occurs only when they vibrate in a same circumferential mode number, n. It is also revealed that the normalized vibration amplitude of the inner shell is about the same as that of the outer shell, for narrower radial gaps. Moreover, the natural frequencies of the fluid-coupled system gradually decrease and converge to the certain values as the gradient index increases.

Mathematical modeling in problems about dynamics and stability of elastic elements of wing profiles

“…However, in recent years, most of the works have been devoted to the study of the stability of pipeline systems and cylindrical shells interacting with a liquid or gas flow. Among the latter, we note the works [Abdelbaki et al, 2019;Blinkov et al, 2018;Butt et al, 2021;Chehreghani et al, 2021;Kheiri and Paidoussis, 2015;Kontzialis et al, 2017;Moditis et al, 2016;Mogilevich et al, 2017;Mogilevich et al, 2018;Mogilevich and Ivanov, 2020;Moshkelgosha et al, 2017] and many others. Among the works of the authors of this article on the study of the dynamics, stability and controllability of pipeline systems, we note the works [Gladun and Velmisov and Ankilov, 2016;Velmisov and Ankilov, 2017;Velmisov and Ankilov, 2018;Velmisov and Ankilov, 2019;Velmisov and Ankilov, 2021].…”

About dynamic stability of deformable elements of vibration systems

“…Many experimental and theoretical studies have been devoted to stability analysis of elastic bodies interacting with gas and liquid. Among them we should note [Abdelbaki et al, 2019;Blinkov et al, 2018;Kheiri and Paidoussis, 2015;Kontzialis et al, 2017;Moditis et al, 2016;Mogilevich et al, 2017;Mogilevich et al, 2018;Moshkelgosha et al, 2017;Zvyagin and Gur'ev, 2017] and many others. Among the works of the authors of this article about fluid-structure interaction, note the monograph and articles [Ankilov and Velmisov, 2013;Ankilov and Velmisov, 2016;Velmisov and Ankilov, 2017;.…”

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