Sensitivity analysis of non-conservative eigensystems

• Published in: Journal of sound and vibration Vol. 274; no. 3; pp. 997 - 1011
• Main Authors: Choi, Kang-Min, Jo, Hong-Ki, Kim, Woon-Hak, Lee, In-Won
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 22.07.2004; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibration damping; Sensitivity analysis; Asymmetry; Derivative; Algebraic method; Vibration damper; Non conservative system; State space method; Differentiation; Optimization; Cantilever beam

An expression for the derivatives of eigenvalues and eigenvectors of non-conservative systems is presented. Contrary to previous methods that use state space form (2 N-space) to consider damping, proposed method solves the eigenpair derivatives of damped system explicitly. The computation size of N-...