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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

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


    Contributors:

    Published in:

    Publication date :

    2011-07-15


    Size :

    14 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    NEWTON-RAPHSON METHODS IN AIRCRAFT TRIM: A COMPARATIVE STUDY

    Millidere, Murat / Karaman, Ugur / Uslu, Samet et al. | TIBKAT | 2020


    Newton-Raphson Methods in Aircraft Trim: A Comparative Study

    Millidere, Murat / Karaman, Ugur / Uslu, Samet et al. | AIAA | 2020


    A Rank Two Hessian Matrix Update for Sequential Quadratic Approximation

    Canfield, R. / American Institute of Aeronautics and Astronautics| ASME| ASCE | British Library Conference Proceedings | 1995