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The nonlinear response of Cattaneo-type thermal loading of a laser pulse on a medium using the generalized thermoelastic model

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Theoretical & Applied Mechanics Letters 2020年第4期10卷 286-297页

作者： farshad shakeriaski Maryam Ghodrat Department of Mechanical Engineering Shahid Bahonar University of KermanKermanIran School of Engineering and Information Technology University of New South Wales CanberraCanberra 2610 ACTAustralia

The nonlinear thermoelastic responses of an elastic medium exposed to laser generated shortpulse heating are investigated in this article. The thermal wave propagation of generalized thermoelastic medium under the impact of thermal loading with energy dissipation is the focus of this research. To model the thermal boundary condition(in the form of thermal conduction),generalized Cattaneo model(GCM) is employed. In the reference configuration, a nonlinear coupled Lord-Shulman-type generalized thermoelasticity formulation using finite strain theory(FST) is developed and the temperature dependency of the thermal conductivity is considered to derive the equations. In order to solve the time-dependent and nonlinear equations, Newmark’s numerical time integration technique and an updated finite element algorithm is applied and to ensure achieving accurate continuity of the results, the Hermitian elements are used instead of Lagrangian’s. The numerical responses for different factors such as input heat flux and nonlinear terms are expressed graphically and their impacts on the system’s reaction are discussed in *** results of the study are presented for Green–Lindsay model and the findings are compared with Lord-Shulman model especially with regards to heat wave propagation. It is shown that the nature of the laser’s thermal shock and its geometry are particularly determinative in the final stage of deformation. The research also concluded that employing FST leads to achieving more accuracy in terms of elastic deformations;however, the thermally nonlinear analysis does not change the results markedly. For this reason, the nonlinear theory of deformation is required in laser related reviews, while it is reasonable to ignore the temperature changes compared to the reference temperature in deriving governing equations.

关键词： Thermal wave propagation Nonlinear generalized thermoelasticity Cattaneo’s heat conduction Laser pulse heating

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Nonlinear vibration analysis of a rotor supported by magnetic bearings using homotopy perturbation method

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Propulsion and Power Research 2017年第3期6卷 223-232页

作者： Aboozar Heydari Mina Mirparizi farshad shakeriaski Farhad Sheykh Samani Mohamadreza Keshavarzi National Iranian Oil Company Iran Shahid Bahonar University of Kerman KermanIran University of Yazd YazdIran University of Sistan and Baluchestan ZahedanIran

In this paper,the effects of nonlinear forces due to the electromagnetic field of bearing and the unbalancing force on nonlinear vibration behavior of a rotor is *** rotor is modeled as a rigid body that is supported by two magnetic bearings with eightpolar *** governing dynamics equations of the system that are coupled nonlinear second order ordinary differential equations(ODEs)are derived,and for solving these equations,the homotopy perturbation method(HPM)is *** applying HPM,the possibility of presenting a harmonic semi-analytical solution,is *** fact,with equality the coefficient of auxiliary parameter(p),the system of coupled nonlinear second order and non-homogenous differential equations are obtained so that consists of unbalancing *** considering some initial condition for displacement and velocity in the horizontal and vertical directions,free vibration analysis is done and next,the forced vibration analysis under the effect of harmonic forces also is ***,various parameters on the vibration behavior of rotor are *** in amplitude and response phase per excitation frequency are *** show that by increasing excitation frequency,the motion amplitude is also increases and by passing the critical speed,it *** it shows that the magnetic bearing system performance is in stable maintenance of *** parameters affecting on vibration behavior,has been studied and by comparison the results with the other references,which have a good precision up to 2nd order of embedding parameter,it implies the accuracy of this method in current research.

关键词： Nonlinear vibration behavior Rotor Magnetic bearing Unbalancing force Coupled nonlinear second order equations homotopy perturbation

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