Convergence of the Rayleigh–Ritz Method for buckling analysis of arbitrarily configured I-section beam–columns

Autor:	Hakan Ozbasaran
Rok vydání:	2019
Předmět:	Rayleigh–Ritz method Cantilever Buckling Deflection (engineering) business.industry Mechanical Engineering Function type Structural engineering Algebraic number Trigonometry business Exponential function Mathematics
Zdroj:	Archive of Applied Mechanics. 89:2397-2414
ISSN:	1432-0681 0939-1533
DOI:	10.1007/s00419-019-01508-1
Popis:	Design of the slender members requires calculation of buckling loads in addition to stress and deflection demand/capacity ratios. The Rayleigh–Ritz Method, which allows one to present approximate closed-form solutions for certain cases, is one of the simplest methods for this purpose. This study evaluates the buckling analysis of the I-section prismatic beam–columns with the Rayleigh–Ritz Method in detail. First, algebraic, trigonometric, and exponential trial functions for various restraint configurations are derived carefully in finite series form. Then, an iterative procedure to calculate buckling loads and modes is described. Finally, a software is developed with Mathematica and the sensitivity of the results and performance to trial function type and the number of terms is investigated over 1000 computer-generated numerical examples, which include doubly and singly symmetric sections, simply supported and cantilever members, intermediate torsional and lateral restraints, transversal concentrated and distributed loads acting above/below the shear center, and axial loads.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f92ab90d868df9d4881c017c9b08cc84 https://doi.org/10.1007/s00419-019-01508-1 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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