The Influence of Temperature Gradient on Thin Plates Bending
Апстракт
Within the theory of thermo-elasticity, the temperature field of thin plates
is commonly defined via two parameters: temperature in the mid-plane and
linear temperature gradient normal to the mid-plane. First, the paper
analytically proves the justification of that assumption in machine
structures. Then, in an analytical closed form, applying the integral
transformation method, the thin plate deflection caused by a constant
temperature gradient is defined. It is shown that, in that case, the plate
deflection does not depend on its thickness but only on the plate
dimensions in the mid-plane. Analytically defined values are compared to
corresponding values obtained by applying the thin plate finite element,
where the temperature field is described using the two mentioned
parameters. This finite element is defined and programmed within the
Komips program package. The influence of the temperature gradient on
the behavior of constructions mostly depends on the type... of material. That
is why the behavior of some structural elements made of brass, steel, and
concrete is analyzed in this paper.
Кључне речи:
temperature / temperature gradient / plate / deflection / stress / finite element / steel / concreteИзвор:
FME Transactions, 2024, 52, 1, 128-135Финансирање / 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 - JOUR AU - Milošević-Mitić, Vesna AU - Petrović, Ana AU - Anđelić, Nina AU - Jovanović, Miloš PY - 2024 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7753 AB - Within the theory of thermo-elasticity, the temperature field of thin plates is commonly defined via two parameters: temperature in the mid-plane and linear temperature gradient normal to the mid-plane. First, the paper analytically proves the justification of that assumption in machine structures. Then, in an analytical closed form, applying the integral transformation method, the thin plate deflection caused by a constant temperature gradient is defined. It is shown that, in that case, the plate deflection does not depend on its thickness but only on the plate dimensions in the mid-plane. Analytically defined values are compared to corresponding values obtained by applying the thin plate finite element, where the temperature field is described using the two mentioned parameters. This finite element is defined and programmed within the Komips program package. The influence of the temperature gradient on the behavior of constructions mostly depends on the type of material. That is why the behavior of some structural elements made of brass, steel, and concrete is analyzed in this paper. T2 - FME Transactions T1 - The Influence of Temperature Gradient on Thin Plates Bending EP - 135 IS - 1 SP - 128 VL - 52 DO - 10.5937/fme2401128M ER -
@article{ author = "Milošević-Mitić, Vesna and Petrović, Ana and Anđelić, Nina and Jovanović, Miloš", year = "2024", abstract = "Within the theory of thermo-elasticity, the temperature field of thin plates is commonly defined via two parameters: temperature in the mid-plane and linear temperature gradient normal to the mid-plane. First, the paper analytically proves the justification of that assumption in machine structures. Then, in an analytical closed form, applying the integral transformation method, the thin plate deflection caused by a constant temperature gradient is defined. It is shown that, in that case, the plate deflection does not depend on its thickness but only on the plate dimensions in the mid-plane. Analytically defined values are compared to corresponding values obtained by applying the thin plate finite element, where the temperature field is described using the two mentioned parameters. This finite element is defined and programmed within the Komips program package. The influence of the temperature gradient on the behavior of constructions mostly depends on the type of material. That is why the behavior of some structural elements made of brass, steel, and concrete is analyzed in this paper.", journal = "FME Transactions", title = "The Influence of Temperature Gradient on Thin Plates Bending", pages = "135-128", number = "1", volume = "52", doi = "10.5937/fme2401128M" }
Milošević-Mitić, V., Petrović, A., Anđelić, N.,& Jovanović, M.. (2024). The Influence of Temperature Gradient on Thin Plates Bending. in FME Transactions, 52(1), 128-135. https://doi.org/10.5937/fme2401128M
Milošević-Mitić V, Petrović A, Anđelić N, Jovanović M. The Influence of Temperature Gradient on Thin Plates Bending. in FME Transactions. 2024;52(1):128-135. doi:10.5937/fme2401128M .
Milošević-Mitić, Vesna, Petrović, Ana, Anđelić, Nina, Jovanović, Miloš, "The Influence of Temperature Gradient on Thin Plates Bending" in FME Transactions, 52, no. 1 (2024):128-135, https://doi.org/10.5937/fme2401128M . .