Визначення джоулевого тепла та пондеромоторної сили у пластинчастому електропровідному елементі за дії зовнішнього неусталеного електромагнітного поля

• Дата: 2019
• Автори: Мусій, Роман Степанович, Наконечний, Адріян Йосипович, Бандирський, Богдан Йосипович, Шиндер, Валентин Костянтинович, Орищин, Оксана Григорівна
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Kamianets-Podilskyi National Ivan Ohiienko University 2019
• Онлайн доступ: http://mcm-tech.kpnu.edu.ua/article/view/184511
• Назва журналу: Mathematical and computer modelling. Series: Technical sciences

A one-dimensional initial-boundary value problem of electrodynamics for an electroconductive non-ferromagnetic layer with plane-parallel boundaries is formulated under the action of an external nonstationare electromagnetic field. The electromagnetic field is given by the values of the homogeneous tangent to the bases of the layer components of the magnetic field intensity vector at its bases. The effect of the nonstationare electromagnetic field on the considered layer is manifested by two physical factors — Joule heat and ponderomotor forces, which in accordance with the external electromagnetic action also have an nonstationare nature of change over time. The general solution of the formulated initial boundary value problem with an arbitrary homogeneous non-stationary electromagnetic action is obtained. A cubic approximation of a key function, tangential to the base of the layer, is a component of the magnetic field intensity vector in thickness coordinate. The coefficients of the approximation polynomial are given through the integral characteristics of the key function and given its values on the basis of the layer as corresponding functions of time. As a result, the initial initial boundary value problem of electrodynamics for a key function is reduced to a Cauchy problem for the integral (time-dependent) characteristics of this function. Common solutions of the Cauchy problem are found using the Laplace integral transform and are obtained as a convolution of functions describing the set boundary values of a key function on the bases of the layer and homogeneous solutions of the Cauchy problem. Based on the obtained common solutions, we write down the solution of the original electrodynamics problem by the action of an nonstationare electromagnetic field and the expression of Joule heat and ponderomotor force. The results of numerical analysis of the expressions of the considered values, depending on the parameters of the nonstationare electromagnetic field of the radio frequency range, are presented in the form of corresponding graphs. It is established that the maximum values of Joule heat and ponderomotor force can be significantly higher than their values in the stationare state mode of electromagnetic field during the transient mode of external nonstationare electromagnetic action of less than a quarter of the period of bearing electromagnetic oscillations.