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.
Modified Newton, rank-1 Broyden update and rank-2 BFGS update methods in helicopter trim: A comparative study
Aerospace Science and Technology ; 23 , 1 ; 187-200
2011-07-15
14 pages
Article (Journal)
Electronic Resource
English
NEWTON-RAPHSON METHODS IN AIRCRAFT TRIM: A COMPARATIVE STUDY
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