Термонапружений стан порожнистої біметалевої кулі за електромагнітної дії в режимі з імпульсним модулівним сигналом

• Date: 2019
• Main Authors: Мусій, Роман, Мельник, Наталія
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2019
• Subjects: термонапружений стан; несуча здатність; біметалева порожниста куля; імпульсна електромагнітна дія; режим з імпульсним модулівним сигналом
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/100
• Journal Title: Physico-mathematical modeling and informational technologies

The initial-boundary value problem of thermomechanics of bimetallic hollow ball subjected to theactions of pulse electromagnetic field has been formulated. The azimuthal component of the vectorof magnetic field, temperature and radial component of the displacement vector have beenselected as key functions. A method of solving the corresponding contact problems of electrodynamics,heat conductivity and thermoelasticity, using a quadratic approximation of distributionsof the key functions by the radial coordinate in each composite layer has been proposed. Beingbased on this methodology, the initial boundary value problems for the key functions are reducedto the Cauchy problem for their integral (total for a package of layers) characteristics. The generalsolutions for these problems have been obtained for homogeneous nonstationary electromagneticaction, on the base of which the solutions for the problem of electromagnetic action modewith impulse modulating signal are written down. Numerical analysis of the thermostressed stateand balls carrying capacity depending on the parameters of such action has been carried out.