In this paper the vibration of a spinning cylindrical shell made of functional graded material is investigated. After a brief introduction of FG materials, by employing higher order theory for shell deformation, constitutive relationships are derived. Next, governing differential equation of spinning cylindrical shell is obtained through utilizing energy method and Hamilton’s principle. Making ...

The characteristic equation of a system of delay diierential equations (DDEs) is a nonlinear equation with innnitely many zeros. The stability of a steady state solution of such a DDE system is determined by the number of zeros of this equation with positive real part. We present a numerical algorithm to compute the rightmost, i.e. stability determining, zeros of the characteristic equation. Th...

the purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of leonhard and nyquist, can be used to derive simple algorithm to verify stability. this is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis

where ρ is the fluid density, p the pressure, u is the velocity, ν is the viscosity, and f is the external force. For a steady (time-independent) flow the first partial derivative vanishes. The character of a steady viscous flow depends strongly on the relative magnitudes of the terms (u · ∇)u and ν∇u in the equation of motion. In order to compare them, we must put the equation into a dimension...