Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom
Temperature and stress fields in thin metallic partially fixed plate induced by harmonic electromagnetic wave
Abstract
U radu se razmatra ponašanje tanke elastične metalne ploče izazvano harmonijskim elektromagnetskim ravanskim talasom. Ploča je slobodno oslonjena duž tri ivice i ukleštena duž četvrte. Kao rezultat dejstva vremenski promenljivog elektromagnetskog polja pojavljuju se kondukcione struje u ploči. Raspodela snage kondukcionih i histerezisnih gubitaka po debljini ploče određena je primenom kompleksnog računa. U daljem proračunu ta snaga je tretirana kao zapreminski izvor toplote. Diferencijalne jednačine polja temperature rešene su metodom integralnih transformacija. Razmatran je i uticaj debljine ploče, frekvencije talasa i faktora histerezisnih gubitaka na temperaturno polje. Polja napona i deformacije određena su primenom metode konačnih elemenata i metode integralnih transformacija.
In the paper the behavior of thin elastic metallic plate influenced by the harmonic electromagnetic plane wave is considered. The plate is simply supported along three edges and fixed along the fourth one. As a result of time-varying electromagnetic field the conducting currents appear in the plate. Distribution of eddy-currents and hysterisis power losses across the plate thickness are obtained by use of complex analysis. There after, by treating this power stemming from a volume heat source, differential equations governing distribution of the temperature field are formulated and solved by using integral-transform technique. The influence of the plate thickness, wave frequency and hysterisis factor on the temperature field are considered, as well. Strain and stress fields are obtained by using finite element method (FEM) and integral-transform technique.
Keywords:
temperature / stress / plate / induction / heat / finite element / electromagnetic fieldSource:
FME Transactions, 2003, 31, 2, 49-54Publisher:
- Univerzitet u Beogradu - Mašinski fakultet, Beograd
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Mašinski fakultetTY - JOUR AU - Milošević-Mitić, Vesna PY - 2003 UR - https://machinery.mas.bg.ac.rs/handle/123456789/348 AB - U radu se razmatra ponašanje tanke elastične metalne ploče izazvano harmonijskim elektromagnetskim ravanskim talasom. Ploča je slobodno oslonjena duž tri ivice i ukleštena duž četvrte. Kao rezultat dejstva vremenski promenljivog elektromagnetskog polja pojavljuju se kondukcione struje u ploči. Raspodela snage kondukcionih i histerezisnih gubitaka po debljini ploče određena je primenom kompleksnog računa. U daljem proračunu ta snaga je tretirana kao zapreminski izvor toplote. Diferencijalne jednačine polja temperature rešene su metodom integralnih transformacija. Razmatran je i uticaj debljine ploče, frekvencije talasa i faktora histerezisnih gubitaka na temperaturno polje. Polja napona i deformacije određena su primenom metode konačnih elemenata i metode integralnih transformacija. AB - In the paper the behavior of thin elastic metallic plate influenced by the harmonic electromagnetic plane wave is considered. The plate is simply supported along three edges and fixed along the fourth one. As a result of time-varying electromagnetic field the conducting currents appear in the plate. Distribution of eddy-currents and hysterisis power losses across the plate thickness are obtained by use of complex analysis. There after, by treating this power stemming from a volume heat source, differential equations governing distribution of the temperature field are formulated and solved by using integral-transform technique. The influence of the plate thickness, wave frequency and hysterisis factor on the temperature field are considered, as well. Strain and stress fields are obtained by using finite element method (FEM) and integral-transform technique. PB - Univerzitet u Beogradu - Mašinski fakultet, Beograd T2 - FME Transactions T1 - Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom T1 - Temperature and stress fields in thin metallic partially fixed plate induced by harmonic electromagnetic wave EP - 54 IS - 2 SP - 49 VL - 31 UR - https://hdl.handle.net/21.15107/rcub_machinery_348 ER -
@article{ author = "Milošević-Mitić, Vesna", year = "2003", abstract = "U radu se razmatra ponašanje tanke elastične metalne ploče izazvano harmonijskim elektromagnetskim ravanskim talasom. Ploča je slobodno oslonjena duž tri ivice i ukleštena duž četvrte. Kao rezultat dejstva vremenski promenljivog elektromagnetskog polja pojavljuju se kondukcione struje u ploči. Raspodela snage kondukcionih i histerezisnih gubitaka po debljini ploče određena je primenom kompleksnog računa. U daljem proračunu ta snaga je tretirana kao zapreminski izvor toplote. Diferencijalne jednačine polja temperature rešene su metodom integralnih transformacija. Razmatran je i uticaj debljine ploče, frekvencije talasa i faktora histerezisnih gubitaka na temperaturno polje. Polja napona i deformacije određena su primenom metode konačnih elemenata i metode integralnih transformacija., In the paper the behavior of thin elastic metallic plate influenced by the harmonic electromagnetic plane wave is considered. The plate is simply supported along three edges and fixed along the fourth one. As a result of time-varying electromagnetic field the conducting currents appear in the plate. Distribution of eddy-currents and hysterisis power losses across the plate thickness are obtained by use of complex analysis. There after, by treating this power stemming from a volume heat source, differential equations governing distribution of the temperature field are formulated and solved by using integral-transform technique. The influence of the plate thickness, wave frequency and hysterisis factor on the temperature field are considered, as well. Strain and stress fields are obtained by using finite element method (FEM) and integral-transform technique.", publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd", journal = "FME Transactions", title = "Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom, Temperature and stress fields in thin metallic partially fixed plate induced by harmonic electromagnetic wave", pages = "54-49", number = "2", volume = "31", url = "https://hdl.handle.net/21.15107/rcub_machinery_348" }
Milošević-Mitić, V.. (2003). Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom. in FME Transactions Univerzitet u Beogradu - Mašinski fakultet, Beograd., 31(2), 49-54. https://hdl.handle.net/21.15107/rcub_machinery_348
Milošević-Mitić V. Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom. in FME Transactions. 2003;31(2):49-54. https://hdl.handle.net/21.15107/rcub_machinery_348 .
Milošević-Mitić, Vesna, "Temperatursko i naponsko polje tanke metalne delimično ukleštene ploče indukovano harmonijskim elektromagnetskim talasom" in FME Transactions, 31, no. 2 (2003):49-54, https://hdl.handle.net/21.15107/rcub_machinery_348 .