In this paper, the effect of initial stress on the radial vibrations of elastic hollow cylinder with rotation is discussed. The one-dimensional equation of elastodynamic is solved in terms of radial displacement. The frequency equation is obtained when the boundaries are free; fixed and mixed boundary condition is examined numerically. The determination is concerned with the eigenvalues of the ...

In this paper a novel analytical method is applied to the problem of transient heat conduction in a one-dimensional hollow composite cylinder with a timedependent boundary temperature. It is known that for such problems in general, the underlying eigenvalue and residue calculations pose a challenge in practice because of the computational requirements especially for a cylinder with many layers....

Abstract Surface stress, which is always neglected in classical elastic theories, has recently emerged as a key role the mechanics of highly deformable soft solids. In this paper, effect surface stress on deformation and instability hollow cylinder analyzed. By incorporating energy density function into constitutive model hyper-elastic theory, explicit solutions are obtained for large under uni...

Three series of experiments were conducted on vertical clamped-clamped cylinders in order to observe experimentally the dynamical behaviour of the system, and the results are compared with theoretical predictions. In the first series of experiments, the downstream end of the clamped-clamped cylinder was free to slide axially, while in the second, the downstream end was fixed; the influence of e...

Simply supported steel beams with rectangular hollow section (RHS) are investigated, taking into account large twist and cross-sections distortions. A closed-form expression for the critical value of external couple inducing lateral torsional buckling is found; homotopy perturbation method (HPM) used to investigate post-buckling non-linear path. The linear paths given by HPM compared those of: ...

The history of viscosity measurements is outspread and is believed to date back to when people began measuring the viscosities of engine oils with the advent of the automobile industry [1]. A rotational viscometer is one which can be used to measure viscosity at different temperature. In this treatise, a coaxial cylinder type rotational viscometer (CCTRV) has been designed, constructed and comp...