TY - JOUR
T1 - Sensitivity of trajectory stability estimated by Lyapunov characteristic exponents
AU - Masarati, Pierangelo
AU - Tamer, Aykut
PY - 2015/12/1
Y1 - 2015/12/1
N2 - This work discusses the use of Lyapunov characteristic exponents for stability evaluation, and the analytical estimation of their sensitivity to parameters of the problem. The parametric sensitivity of the stability is formulated to provide a methodology for robustness analysis and design of dynamical systems with a complexity level varying from linear time invariant to nonlinear, non-autonomous. Characteristic exponents estimation and the analytical formulation of their sensitivity are based on the discrete QR decomposition method. The proposed methodology is illustrated considering the flapping of a helicopter blade, and helicopter ground resonance with one damper inoperative and with nonlinear blade dampers. Some aspects of characteristic exponents and sensitivity estimation from problems with complex conjugated modes, which are typical of mechanical and aerospace systems, are discussed.
AB - This work discusses the use of Lyapunov characteristic exponents for stability evaluation, and the analytical estimation of their sensitivity to parameters of the problem. The parametric sensitivity of the stability is formulated to provide a methodology for robustness analysis and design of dynamical systems with a complexity level varying from linear time invariant to nonlinear, non-autonomous. Characteristic exponents estimation and the analytical formulation of their sensitivity are based on the discrete QR decomposition method. The proposed methodology is illustrated considering the flapping of a helicopter blade, and helicopter ground resonance with one damper inoperative and with nonlinear blade dampers. Some aspects of characteristic exponents and sensitivity estimation from problems with complex conjugated modes, which are typical of mechanical and aerospace systems, are discussed.
U2 - 10.1016/j.ast.2015.10.015
DO - 10.1016/j.ast.2015.10.015
M3 - Article
SN - 1270-9638
VL - 47
SP - 501
EP - 510
JO - Aerospace Science and Technology
JF - Aerospace Science and Technology
ER -