Stability of clamped-clamped periodic functionally graded material shells conveying fluid

Abstract

The characteristics of the beam-mode stability of the fluid-conveying shell systems are investigated in this paper, under the clamped-clamped condition. A finite element model algorithm is developed to conduct the investigation. A periodic structure of functionally graded material (FGM) for the shell system, termed as PFGM shell here, is designed to enhance the stability for the shell systems, and to eliminate the stress concentration problems that exist in periodic structures. Results show that (i) the dynamical behaviors, either the divergence or the coupled-mode flutter, are all improved in such a periodic shell system; (ii) the critical velocities ucr for the divergent form of instability is independent of the normalized fluid density β; (iii) various critical values of β exist in the system, for indentifying the coupled modes of flutter (Païdoussis-type or Hamiltonian Hopf bifurcation flutter) and for determining the mode exchange; (iv) changes of some key parameters, e.g., lengths of segments and/or ‘grading profiles’ could result in appreciable improvement on the stability of the system.

On the solution of the buckling problem of functionally graded truncated conical shells with mixed boundary conditions

“…Sun et al [43] presented buckling of functionally graded cylindrical shells under combined thermal and compressive loads. Shen et al [44] presented stability of clamped-clamped periodic functionally graded material shells conveying fluid. Hadjiloizi et al [45,46] analyzed of smart piezo-magnetothermo-elastic composites with rapidly-varying thickness under different boundary conditions.…”

Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects

“…To be precise, the developed s-FTB theory is defined in the framework of space-Fractional Continuum Mechanics (s-FCM) [27,28], where LS is introduced through the fractional differential operator (FDO) and furthermore, an additional parameter which controls SE is introduced, namely order of FDO. Finally, because of the complex nature of mechanical properties through the beam thickness FGM concept is also used [29][30][31][32].…”

Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

“…Wen et al [25] and Wei et al [26] validated the wave attenuation ability of periodic fluid-filled pipes by performing vibration experiments. Shen et al [27] and Shen et al [28] put the research emphasis on the stability and sound and vibration control of periodic shells conveying fluid, and proposed functionally-graded-material periodic shell models to eliminate or alleviate the stress concentration induced by the material or geometrical discontinuity of periodic composite structures [29]. Recently, Hu et al [30] examined the vibration attenuation properties of a LR pipe under impact excitation, and further designed a new AM pipe presenting the LR and Bragg scattering BGs simultaneously, which improved the broadband vibration BGs [31].…”