Abstract
This article examines the traveling wave vibration modes of rotating porous metal conical shell (PMCS) by exploiting the differential quadrature method (DQM). A series of artificial springs are introduced to the system to simulate arbitrary elastic support boundary conditions. Making use of the generalization virtual displacements principle and the first-order shear deformation theory (FSDT) of laminate plate, the theoretical formula is derived, in which both the Coriolis force and the initial circumferential tension brought on by the rotation of the conical shell are included. The trigonometric function is used to indicate the circumferential mode shapes, while the DQM is adopted in generatrix direction to acquire the unified solution. By comparing the present research results and those of the previous researches, the reliability and convergence of the present formulation and numerical simulation are confirmed. Considering three different porosity distributions of the PMCS, the effects of porosity distribution, geometrics, spinning speed, boundary constraint types and the circumferential wave number on frequencies and mode shapes of traveling wave vibration of the PMCS are investigated in detail. Furthermore, the critical rotating speed (CRS) and resonance angular speed are discussed for the rotating PMCS.
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