Vibration characteristics of fluid-conveying FGM cylindrical shells resting on Pasternak elastic foundation with an oblique edge

• A fluid-conveying FGM cylindrical shell partially rested on Pasternak foundation is analyzed.
• The elastic foundation with non-parallel boundary edge to the longitudinal axe is considered.
• Effect of elastic foundation on vibration and critical flow velocity is studied.
• Effects of power-law index and the parameters that determine the material variation profile are studied.
• Effective material properties of FGMs are predicted based on Voigt and Mori-Tanaka model

The flow-induced vibration characteristics (natural frequency and critical flow velocity) of FGM cylindrical shells partially resting on elastic foundation are investigated by an analytical method. These shells are completely filled with fluid or subjected to a flowing fluid. The cylindrical shells are partially surrounded by an elastic foundation with an oblique edge which is represented by the Pasternak model. The boundary edge of an elastic foundation lies in a plane that is oblique at an angle with the shell axis. The effective material properties of FGM models are predicted based on two homogenization methods such as Voigt and Mori-Tanaka models. Material properties vary continuously through the thickness according to a four-parameter power law distribution in terms of volume fraction of the constituents. The thermal effects are also included and the material properties of FGMs are assumed to be temperature-dependent. The fluid is described by the classical potential flow theory. The governing equation for eigenvalue problem is obtained using the Rayleigh-Ritz method. To validate the present method, numerical examples are presented and compared with the available existing results.