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The paper deals with an analytical model of thermal stresses acting in an particle-matrix system represented by one isotropic spherical particle embedded in a triaxial-anisotropic infinite matrix, or by one triaxial-anisotropic spherical particle embedded in an isotropic infinite matrix. The thermal stresses originate during a cooling process as a consequence of the difference in thermal expansion...
In this study, free vibration analysis of a rotating, tapered Timoshenko beam that undergoes flapwise bending vibration is performed. Derivation of the equations of motion of a rotating, uniform Timoshenko beam was made step by step in a previous work of the authors. Therefore, differential equations of motion are given directly without making any derivations in this paper. The parameters for the...
In this paper, the coupling effect of extension and bending in functionally graded plate subjected to transverse loading for Kirchhoff-Love plate theory equations is studied. The material properties of the FG plates are assumed to vary continuously throughout the thickness direction of the layer according to sigmoid distribution of the volume fractions of constituents. The two plate functionals are...
An analysis of free convection heat transfer in electrically conducting power law non-Newtonian fluid over a thin axisymmetric body of constant temperature is carried out. The uniform external magnetic field acts normally to the surface through the induced boundary layer. In view of the fact that most of the non-Newtonian fluids have large Prandtl number, the momentum equation is simplified. The equations...
In this presentation, influences of axial vane swirler on heat transfer augmentation and fluid flow are investigated both experimentally and numerically. The swirl generator is installed at the inlet of the annular duct to generate decaying swirling pipe flow. Three different blade angels of 30°, 45° and 60° were examined. Meanwhile, flow rate was adjusted at Reynolds numbers ranging from 10000 to...
He’s modified Lindstedt-Poincaré method is applied to nonlinear oscillatiors with fractional powers. Comparison of the obtained results with exact solutions provides confirmation for the validity of He’s modified Lindstedt-Poincaré method.
A rotor-active magnetic bearing (AMB) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinearities under multi-parametric excitations is studied and solved. The method of multiple scales is applied to analyze the response of two modes of a rotor-AMB system with multi-parametric excitations and time-varying stiffness near the simultaneous primary and internal resonance...
Based on molecular mechanics, a structural mechanics model of carbon nanotubes (CNTs) was developed with special consideration given to the bending stiffness of the graphite layer. The potentials associated with the atomic interactions within a CNT were evaluated by the strain energies of beam elements which serve as structural substitutions of covalent bonds in a CNT. In contrast to the original...
This paper describes the application of a vibration absorber to ameliorate the comfort of motorcycle handles. The concept of dynamical absorber is briefly summarised and a frequency response function is expressed as the ratio of vibration amplitudes (transmissibility). Some practical hints on the tuning strategy are also suggested in order to correctly define the absorber and then achieve the most...
The mechanism of vehicle shimmy has been paid much attention in the past decades. In which, the clearance of the steering linkage is usually neglected. Yet the prior research of the authors proved that the clearance can make great effects on the dynamic performance of the linkage. Therefore, based on nonlinear dynamics, a six-DOF dynamic model of vehicle shimmy system with consideration of the clearance...
The unsteady hydromagnetic flow due to non-coaxial rotations of a porous disk with slip condition and a fluid at infinity has been studied on taking Hall currents into account. An exact solution of the governing equation has been obtained by the Laplace transform technique. Asymptotic solution is obtained for large time. It is found that for large time there exists a thin boundary layer near the disk...
The present investigation is concerned with the effect of Hall currents on the flow and heat transfer of an electrically conducting fluid over an unsteady stretching surface in presence of a strong magnetic field. The induced magnetic field is neglected while the electron-atom collision frequency is assumed to be relatively high, so that the Hall effect is assumed to exist. The incorrect similarity...
Aim of the paper is to investigate the effects of linearly varying thermal conductivity, viscous dissipation and Ohmic heating on steady free convection flow of a viscous incompressible electrically conducting liquid having low Prandtl number along an inclined isothermal non-conducting porous plate in the presence of transverse magnetic field. The governing equations of continuity, momentum and energy...
In the conditional maintenance of mechanical components by vibratory analysis, one distinguishes two types of analyses which are necessary for obtaining a reliable diagnosis. The first analysis lies in the detection of potential defects; there are currently various succeeded methods based on the treatment of the vibratory signals allowing the localization of a defect. One can quote among these methods...
The aim of this paper is to present a new analytical resolution to find closure equations of Wohlhart symmetric mechanism and to give some interesting spatial properties of this mechanism. These properties are used to put in evidence possible industrial applications for this type of mechanism. First, it concerns the analytic resolution of the twelve equations system obtained from the closure equation,...
The necessity of health-monitoring and supervising structures will be justified under aspects of reliability and safety as well as with regard to economical reasons. Considering the achievements in measurement techniques combined with computer techniques, the requirements on the evolution of efficient monitoring systems will be indicated. The prerequisite will be pointed out, to conceive such systems...
This paper presents the theorem proposed by Luigi Federico Menabrea to study linear elastic redundant systems. Some of Menabrea’s papers on the subject are examined, as well as the criticism and the corrections brought to his first proof. We consider Menabrea’s work in the frame of the studies of his contemporaries; we try to provide a historical and epistemological background for Menabrea’s theorem...
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