Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field
Апстракт
The problem of an elastic plate, originally unmagnetized, in a uniform magnetic
field is considered in the paper. The magnetic forces are of two kinds: the force of the
magnetic field on conducting currents in the material, induced by its motion in the static
field and the force between the magnetic field and the magnetized material (independent of
the motion).The general equations are linearized by assuming linear constitutive equations
and that all electromagnetic variables in the deformed body may be divided into two parts: a
rigid body state and a perturbation state. Maxwell’s stress is calculated and involved in
differential equation related to bending. Obtained equation is solved in analytical form using
the integral-transformation technique (Double Fourier finite-sine transformation and Laplace
transformation). Discussion of the obtained solution is done using Kirchhoff’s hypothesis.
Извор:
Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia, 2011, -C 39:683Финансирање / пројекти:
- Интегритет опреме под притиском при истовременом деловању замарајућег оптерећења и температуре (RS-MESTD-Technological Development (TD or TR)-35011)
- Развој савремених метода дијагностике и испитивања машинских структура (RS-MESTD-Technological Development (TD or TR)-35040)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Milošević-Mitić, Vesna AU - Maneski, Taško AU - Anđelić, Nina PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5921 AB - The problem of an elastic plate, originally unmagnetized, in a uniform magnetic field is considered in the paper. The magnetic forces are of two kinds: the force of the magnetic field on conducting currents in the material, induced by its motion in the static field and the force between the magnetic field and the magnetized material (independent of the motion).The general equations are linearized by assuming linear constitutive equations and that all electromagnetic variables in the deformed body may be divided into two parts: a rigid body state and a perturbation state. Maxwell’s stress is calculated and involved in differential equation related to bending. Obtained equation is solved in analytical form using the integral-transformation technique (Double Fourier finite-sine transformation and Laplace transformation). Discussion of the obtained solution is done using Kirchhoff’s hypothesis. C3 - Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia T1 - Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field EP - C 39:683 EP - C 39:636 UR - https://hdl.handle.net/21.15107/rcub_machinery_5921 ER -
@conference{ author = "Milošević-Mitić, Vesna and Maneski, Taško and Anđelić, Nina", year = "2011", abstract = "The problem of an elastic plate, originally unmagnetized, in a uniform magnetic field is considered in the paper. The magnetic forces are of two kinds: the force of the magnetic field on conducting currents in the material, induced by its motion in the static field and the force between the magnetic field and the magnetized material (independent of the motion).The general equations are linearized by assuming linear constitutive equations and that all electromagnetic variables in the deformed body may be divided into two parts: a rigid body state and a perturbation state. Maxwell’s stress is calculated and involved in differential equation related to bending. Obtained equation is solved in analytical form using the integral-transformation technique (Double Fourier finite-sine transformation and Laplace transformation). Discussion of the obtained solution is done using Kirchhoff’s hypothesis.", journal = "Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia", title = "Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field", pages = "C 39:683-C 39:636", url = "https://hdl.handle.net/21.15107/rcub_machinery_5921" }
Milošević-Mitić, V., Maneski, T.,& Anđelić, N.. (2011). Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field. in Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia. https://hdl.handle.net/21.15107/rcub_machinery_5921
Milošević-Mitić V, Maneski T, Anđelić N. Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field. in Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia. 2011;:null-C 39:683. https://hdl.handle.net/21.15107/rcub_machinery_5921 .
Milošević-Mitić, Vesna, Maneski, Taško, Anđelić, Nina, "Bending of a Thin Plate Subjected to Strong Uniform Magnetic Field" in Proceedings of the 3th International Congress of Serbian Society of Mechanics,Vlasina Lake, Serbia (2011), https://hdl.handle.net/21.15107/rcub_machinery_5921 .