Non-linear vibration of deformable bodies under thermal and mechanical excitation

Temperature variation within two contacting elastic bodies may change the contactconditions caused by thermal distortion of the adjacent surface profile. Hertziancontact theory can not be used for such problems since it only concerns bodies ofuniform temperature. Most of liter ture deals with quasi static thermoelastic partiallycoupled problems where, the inertia effect is neglected. To solve such quasistaticthermoelastic problem three steps are followed. The first of these steps is theevaluation of the temperature distribution in the two contacting bodies. The secondstep is the determination of the thermoelastic distortion of the surface profile. The thirdstep is the solution of the nonlinear contact problem to find out the contact area fromthe distorted pressure. In the transient analysis, these three steps are coupled and theanalysis can not proceed in the above sequence. An efficient economically numericalalgorithm is investigated. The developed numerical algorithm shows an excellentagreement with other literatures. Moreover, the investigated numerical algorithmshows little sensitivity to both element mesh and time stem sizes. The attention isderived to non-conformal contact problems. The deformed contact area is obtainedusing the constraint conditions developed by a mathematical programming technique.Lagrangian multipliers are introduced to evaluate the contact pressure and determinethe adhesion or release of contact surface. An implicit time integration scheme isadopted for the time discretization. The aim of present study introduces a dynamiccoupled thermoelastic contact model utilizing the mixed finite element method. Thepresent investigated model validation shows an excellent agreement other literaturesolving the thermoelastic contact in a steady state. The investigated model applied to