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Advances in Nano Research Volume 15, Number 5, November 2023 , pages 401-410 DOI: https://doi.org/10.12989/anr.2023.15.5.401 |
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Application of Hamilton variational principle for vibration of fluid filled structure |
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Khaled Mohamed Khedher, Muzamal Hussain, Rizwan Munir, Saleh Alsulamy and Ayed Eid Alluqmani
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| Abstract | ||
| Vibration investigation of fluid-filled three layered cylindrical shells is studied here. A cylindrical shell is immersed in a fluid which is a non-viscous one. Shell motion equations are framed first order shell theory due to Love. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the wave propagation approach procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Lagrange energy functional is converted into a set of three partial differential equations. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped (C-C), simply supported-simply supported (SS-SS) frequency curves are higher than that of clamped-simply (C-S) curves. Expressions for modal displacement functions, the three unknown functions are supposed in such way that the axial, circumferential and time variables are separated by the product method. Computer software MATLAB codes are used to solve the frequency equation for extracting vibrations of fluid-filled. | ||
| Key Words | ||
| Hankel's functions; fluid-filled; MATLAB; strain energy; three layered | ||
| Address | ||
| Khaled Mohamed Khedher: Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia Muzamal Hussain: Department of Mathematics, University of Sahiwal, Sahiwal, Pakistan/ Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan Rizwan Munir: Department of statistics. jiangxi university of finance and economics. Nanchang city. Jiangxi province. China 330013 Saleh Alsulamy: Department of Architecture & Planning, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia Ayed Eid Alluqmani: Department of Civil Engineering, Faculty of Engineering, Islamic University of Madinah, Saudi Arabia | ||