Optimum buckling design of axially layered graded uniform columns
-
Veysel Alkan
Abstract
This study presents optimum buckling design of axially layered graded uniform columns. Firstly, characteristic equations for determining critical buckling loads for all end conditions are obtained using the transfer matrix method and for each case, square of this equation is selected as a fitness function. Due to the explicitly unavailable objective function for the critical buckling loads as a function of volume fraction and length of the column, initially, prescribed value is assumed for it and then the design variables satisfying constraints are determined. Different boundary conditions are considered. Among them, maximum increment up to 19 % of the critical buckling load is attained for the simply supported case. Finally, the strongest column configurations are determined.
Kurzfassung
In diesem Beitrag wird das optimierte Knicklast-Design für axial geschichtete und einheitlich gradierte Stützen vorgestellt. Zunächst wurden die charakteristischen Gleichungen zur Bestimmung der kritischen Knickbeanspruchungen für alle Endbedingungen ermittelt, wobei das Verfahren mittels Übertragungsmatrix für jeden der Fälle angewandt wurde und das Quadrat dieser Gleichung als Fitnessfunktion gewählt wurde. Auf Grund der nicht eindeutig verfügbaren objektiven Funktion für die kritischen Knickbeanspruchungen als Funktion des Volumenanteils und der Länge der Stütze, wurde in erster Näherung ein vorgeschriebener Wert angenommen und dann nach den erfüllenden Bedingungen der Designvariablen gesucht. Hierbei wurden verschiedene Randbedingungen berücksichtigt. Darunter wurde ein maximales Inkrement von 19 % der kritischen Knickbeanspruchung für den einfach unterstützten Fall erreicht. Schließlich wurden auch die stärksten Stützkonfigurationen bestimmt.
References
1 S. P.TimoshenkoJ. M.Gere: Theory of Elastic stability, 2nd Ed., McGraw-Hill, New York, USA (1961)Suche in Google Scholar
2 J. B.Keller: The shape of the strongest column, Archive for Rational Mechanics and Analysis5 (1960), No. 1, pp. 275–28510.1007/BF00252909Suche in Google Scholar
3 I.TadjbakhshJ. B.Keller: Strongest columns and isoperimetric inequalities for eigenvalues, Journal of Applied Mechanics29 (1962), No. 1, pp. 159–16410.1115/1.3636448Suche in Google Scholar
4 Y. K.Maalawi: Optimization of elastic columns using axial grading concept, Engineering Structures31 (2009), No. 12, pp. 2922–292910.1016/j.engstruct.2009.07.017Suche in Google Scholar
5 X. F.LiL. Y.XiY.Huang: Stability analysis of composite columns and parameter optimization against buckling, Composites Part B: Engineering42 (2011), No. 6, pp. 1337–134510.1016/j.compositesb.2011.06.012Suche in Google Scholar
6 V. S.PatnaikG.RaoG. V.VenkateswaraA. V. S. S. K. S.Gupta: Minimum mass design of compound cantilever columns with buckling load constraint through numerical search, Int. J. Mech. Eng. & Rob. Res.1 (2012), No. 2, pp. 196–206Suche in Google Scholar
7 V. S.PatnaikG.RaoG. V.VenkateswaraA. V. S. S. K. S.Gupta: Optimum design for minimum mass configuration of stepped cantilever compound columns with constraint on axial buckling load, International Journal of Scientific & Engineering Research, Volume 4, Issue 10 (2013), pp. 956–965Suche in Google Scholar
8 K. V.SinghG.Li: Buckling of functionally graded and elastically restrained non-uniform columns, Compos. Part B – Eng.40 (2009), pp. 393–40310.1016/j.compositesb.2009.03.001Suche in Google Scholar
9 Q. S.Li: Effect of shear deformation on the critical buckling of multi-step bars, Struct. Eng. Mech.15 (2003), No. 1, pp. 71–81, 10.12989/sem.2003.15.1.071Suche in Google Scholar
10 S. S.Rao: Engineering Optimization: Theory and Practice, 4th Ed., John Wiley & Sons, Inc., New Jersey, USA (2009)Suche in Google Scholar
11 A.GuerraP. D.Kiousis: Design optimization of reinforced concrete structures, Comput. Concrete3 (2006), No. 5, pp. 313–33410.12989/cac.2006.3.5.313Suche in Google Scholar
12 MATLAB's Optimization Toolbox Documentation, The MathWorks, Inc., Massachusetts, USASuche in Google Scholar
13 P.Venkataraman, Applied Optimization With Matlab® Programming, 2nd Ed., John Wiley & Sons, Inc., New York, USA (2002)Suche in Google Scholar
© 2015, Carl Hanser Verlag, München
Artikel in diesem Heft
- Inhalt/Contents
- Inhalt
- Fachbeiträge/Technical Contributions
- Effects of the thickness on the microstructure and corrosion behavior of a TiAlN film on 4140 steel
- The effect of anodizing conditions on the corrosion resistance of Ti6Al4V titanium alloy
- Frequency analysis of volumetric porosity in aluminum castings at high and low cooling rates
- Corrosion resistance of nanosilicasilicate conversion coatings on aluminum prepared by the dip immersion method
- Corrosion behavior of Haynes® 556® Fe-Ni-Cr-Co alloy for integrated coal gasification combined cycle syngas plants: A plant exposure study*
- Effects of Y2O3 and Al2O3 sintering additives on the hot pressing behavior of AlN ceramics
- Einfluss der Klebschichtdicke auf Kopplungsfaktor und Lebensdauer beim Bekleben von piezoelektrischen Flächenwandlern mit Epoxykleber
- Influence of the heat treatment on hardness and adhesive wear performance of Ni-P deposit with low phosphorus content
- Effect of plasma nitriding time on surface properties of hard chromium electroplated AISI 1010 steel
- Diffusion characteristics of plasma nitrided hard chromium on AISI 1010 steel
- Estimation of the mechanical properties of nanocomposites based on the properties prediction of single wall carbon nanotubes (SWCNT)
- Investigation of joints between polypropylene and polybutylene terephthalate
- Parametric optimization of seam welding of stainless steel (SS 304) sheets
- Effect of the powder particle size on the wear behavior of boronized AISI 304 stainless steel
- Optimum buckling design of axially layered graded uniform columns
- Kalender/Calendar
- Kalender
Artikel in diesem Heft
- Inhalt/Contents
- Inhalt
- Fachbeiträge/Technical Contributions
- Effects of the thickness on the microstructure and corrosion behavior of a TiAlN film on 4140 steel
- The effect of anodizing conditions on the corrosion resistance of Ti6Al4V titanium alloy
- Frequency analysis of volumetric porosity in aluminum castings at high and low cooling rates
- Corrosion resistance of nanosilicasilicate conversion coatings on aluminum prepared by the dip immersion method
- Corrosion behavior of Haynes® 556® Fe-Ni-Cr-Co alloy for integrated coal gasification combined cycle syngas plants: A plant exposure study*
- Effects of Y2O3 and Al2O3 sintering additives on the hot pressing behavior of AlN ceramics
- Einfluss der Klebschichtdicke auf Kopplungsfaktor und Lebensdauer beim Bekleben von piezoelektrischen Flächenwandlern mit Epoxykleber
- Influence of the heat treatment on hardness and adhesive wear performance of Ni-P deposit with low phosphorus content
- Effect of plasma nitriding time on surface properties of hard chromium electroplated AISI 1010 steel
- Diffusion characteristics of plasma nitrided hard chromium on AISI 1010 steel
- Estimation of the mechanical properties of nanocomposites based on the properties prediction of single wall carbon nanotubes (SWCNT)
- Investigation of joints between polypropylene and polybutylene terephthalate
- Parametric optimization of seam welding of stainless steel (SS 304) sheets
- Effect of the powder particle size on the wear behavior of boronized AISI 304 stainless steel
- Optimum buckling design of axially layered graded uniform columns
- Kalender/Calendar
- Kalender
