Modified Newton, rank-1 Broyden update and rank-2 BFGS update methods in helicopter trim: A comparative study

Sekhar, Chandra D and Ganguli, Ranjan (2012) Modified Newton, rank-1 Broyden update and rank-2 BFGS update methods in helicopter trim: A comparative study. In: AEROSPACE SCIENCE AND TECHNOLOGY, 23 (1, SI). pp. 187-200.

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Abstract

Nonlinear equations in mathematical physics and engineering are solved by linearizing the equations and forming various iterative procedures, then executing the numerical simulation. For strongly nonlinear problems, the solution obtained in the iterative process can diverge due to numerical instability. As a result, the application of numerical simulation for strongly nonlinear problems is limited. Helicopter aeroelasticity involves the solution of systems of nonlinear equations in a computationally expensive environment. Reliable solution methods which do not need Jacobian calculation at each iteration are needed for this problem. In this paper, a comparative study is done by incorporating different methods for solving the nonlinear equations in helicopter trim. Three different methods based on calculating the Jacobian at the initial guess are investigated. (C) 2011 Elsevier Masson SAS. All rights reserved.

Item Type:	Journal Article
Publication:	AEROSPACE SCIENCE AND TECHNOLOGY
Publisher:	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Additional Information:	Copyright for this article belongs to ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, FRANCE
Keywords:	Helicopters;Trim analysis;System of nonlinear equations;Newton method;Broyden method;BFGS method
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	20 Feb 2013 08:48
Last Modified:	20 Feb 2013 08:48
URI:	http://eprints.iisc.ac.in/id/eprint/45827

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