A study of the eigenvalue sensitivity by homotopy and perturbation methods

In this work, the sensitivity to material characteristics of eigenvalues is studied. From an initial structure, some defects of material or/and geometry are introduced. A method is proposed to solve the new eigenvalue problem from the initial one without using classical techniques. This method is ba...

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Veröffentlicht in:	Journal of computational and applied mathematics 2010-08, Vol.234 (7), p.2297-2302
Hauptverfasser:	Sliva, G., Brezillon, A., Cadou, J.M., Duigou, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Computation Defects Eigenvalues Engineering Sciences Exact sciences and technology Homotopy technique Mathematical analysis Mathematical models Mathematics Mechanics Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Perturbation method Perturbation methods Sciences and techniques of general use Sensitivity of eigenvalue Structural mechanics Transformations Vibration of plates
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Beschreibung
Zusammenfassung:	In this work, the sensitivity to material characteristics of eigenvalues is studied. From an initial structure, some defects of material or/and geometry are introduced. A method is proposed to solve the new eigenvalue problem from the initial one without using classical techniques. This method is based on the association of a homotopy transformation and the perturbation method.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2009.08.086