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Title: Using the ERFI function in the problem of the shape optimization of the compressed rod
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Abstract:
The shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with slenderness of 125 and 175. A practical benefit from the use of compression rods of the proposed shapes is clearly visible. ; The example presented in this publication shows how great the utility in the structural mechanics can be, resulting from the applications of complex analysis (complex numbers). This approach to many problems can find its solutions, while they are lacking in the real numbers domains. What is more, although these are operations on complex numbers, these solutions have often their real representations, as the numerical example shows. ; There are too few applications of complex numbers in the technique and science, therefore it is obvious that the use of complex analysis should have an increasing range. One of the first people to use complex numbers was Girolamo Cardano. Cardano, using complex numbers, was solving cubic equations, unsolvable to his times - as the famous Franciscan and professor of mathematics Luca Pacioli put it in his paper "Summa de arithmetica, geometria, proportioni et proportionalita" (1494). ; It is worth mentioning that history has given Cardano priority in the use of complex numbers, but most probably they were discovered by another professor of mathematics - Scipione del Ferro. We can see, that already then, they were definitely important (complex numbers).
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Zielona Góra: Uniwersytet Zielonogórski
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IJAME, volume 25, number 2 (2020)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2020)
Last modified:
Jul 6, 2023
In our library since:
Feb 23, 2023
Number of object content hits:
101
All available object's versions:
https://zbc.uz.zgora.pl/publication/78096
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 26 (2021)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 2 (2020)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 2 (2020) - Contents
- Performance of four different nanoparticles in boundary layer flow over a stretching sheet in porous medium driven by buoyancy force
- The grooved lip effect on reciprocating hydraulic rod seal performances in transient condition: elastohydrodynamic lubrication
- Effect of magnetic field dependent viscosity on the unsteady ferrofluid flow due to a rotating disk
- Optimization of heat transfer properties of nanofluid flow over a shrinking surface through mathematical modeling
- MHD mixed convection in copper-water nanofluid filled lid-driven square cavity containing multiple adiabatic obstacles with discrete heating
- Using the ERFI function in the problem of the shape optimization of the compressed rod
- Oscillatory fluid flow and heat transfer through porous medium between parallel plates with inclined magnetic field, radiative heat flux and heat source
- Influence of chemical reaction on the heat and mass transfer of nanofluid flow over a nonlinear stretching sheet: A numerical study
- A review: differential transform method for semi-analytical solution of differential equations
- Numerical analysis of deformation and flow in the proximal area of the urethra
- Outcome of nanofluid flow containing arbitrary shape nanoparticles induced by a permeable stretching sheet
- MHD free convection-radiation interaction in a porous medium - Part II: soret/dufour effects
- Investigation of velocity profile in time dependent boundary layer flow of a modified power-law fluid of fourth grade
- On increasing powder carbon steels properties using activating additives
- Rheological behavior of fly ash suspension with additive for hydraulic conveyance
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 3 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 4 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Using the ERFI function in the problem of the shape optimization of the compressed rod | Jul 6, 2023 |
