Buckling load optimization of beams

Katsikadelis, JT; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T02:43:10Z
dc.date.available	2014-03-01T02:43:10Z
dc.date.issued	2005	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31263
dc.subject	Analog equation method	en
dc.subject	Beams	en
dc.subject	Buckling shape optimization	en
dc.subject	Integral equation method	en
dc.subject	Variable cross section	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Constraint theory	en
dc.subject.other	Differential equations	en
dc.subject.other	Finite element method	en
dc.subject.other	Integral equations	en
dc.subject.other	Optimization	en
dc.subject.other	Stiffness	en
dc.subject.other	Analog equation method	en
dc.subject.other	Beams	en
dc.subject.other	Buckling shape optimization	en
dc.subject.other	Integral equation method	en
dc.subject.other	Variable cross section	en
dc.subject.other	Beams and girders	en
dc.title	Buckling load optimization of beams	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/s00419-005-0402-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-005-0402-9	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper, shape optimization is used to optimize the buckling load of a Euler-Bernoulli beam having constant volume. This is achieved by varying appropriately the beam cross section so that the beam buckles with the maximum or a prescribed buckling load. The problem is reduced to a nonlinear optimization problem under equality and inequality constraints as well as specified lower and upper bounds. The evaluation of the objective function requires the solution of the buckling problem of a beam with variable stiffness subjected to an axial force. This problem is solved using the analog equation method for the fourth-order ordinary differential equation with variable coefficients. Besides its accuracy, this method overcomes the shortcomings of a possible FEM solution, which would require resizing of the elements and recomputation of their stiffness properties during the optimization process. Several example problems are presented that illustrate the method and demonstrate its efficiency.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-005-0402-9	en
dc.identifier.isi	ISI:000233634700009	en
dc.identifier.volume	74	en
dc.identifier.issue	11-12	en
dc.identifier.spage	790	en
dc.identifier.epage	799	en