Free vibration of new type functionally graded materials pipe conveying fluid using differential quadrature method

• Published in: AIP conference proceedings Vol. 2386; no. 1
• Main Authors: Ihmood, Sadiq M., Elaikh, Talib Eh, Al-Umar, Mohammad
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 11.01.2022
• Subjects: Aluminum; Boundary conditions; Conveying; Flow velocity; Free vibration; Functionally gradient materials; Hamilton's principle; Numerical methods; Pipes; Quadratures; Resonant frequencies
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0066803

The subject of investigation of the current paper is the free vibration of a new type of fluid conveying pipe made of functionally graded materials. Properties of the new breed of material are changing perpetually across the thickness direction and obeys the power-law distribution. In the current model a mixture of materials is used, i.e the inner and outer surface of the pipe is composed of ceramic materials, whereas the surface in the middle is composed of aluminium material. The vibration equations of FG pipe are obtained by using Hamilton's principle based on the Euler-Bernoulli model with (Clamped-Free) boundary conditions. The vibration frequencies of FG pipe was found by using an effective numerical method (differential quadrature (GDQ). Three models of FGM pipe are used in this paper (the proposed model and two models were taken from literature). The effects of gradient index and flow velocity on frequencies of FG fluid conveying pipes are investigated. The proposed model gave better outcomes compared with the other existing models, where the increase in natural frequencies was 17%, compared with the first model, and 21.69% compared with the second model, with the gradient index=3, moreover, this percentage of vibration frequency increases alongside with the increase of the gradient index.