ASSESSING THE LOCAL STABILITY OF PERIODIC MOTIONS FOR LARGE MULTIBODY NONLINEAR SYSTEMS USING POD
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Paolo Mantegazza | Giuseppe Quaranta | Pierangelo Masarati | P. Mantegazza | P. Masarati | G. Quaranta
[1] H. Matthies,et al. Dynamic stability of periodic solution of large scale nonlinear systems , 1985 .
[2] Bart De Moor,et al. N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems , 1994, Autom..
[3] Paolo Mantegazza,et al. Multibody Analysis of Controlled Aeroelastic Systems on Parallel Computers , 2002 .
[4] Robert P. Coleman,et al. Theory of self-excited mechanical oscillations of helicopter rotors with hinged blades , 1958 .
[5] P. Holmes,et al. Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .
[6] Gian Luca Ghiringhelli,et al. A Multibody Approach to the Analysis of Helicopter-Terrain Interaction , 2002 .
[7] Earl H. Dowell,et al. Reduced-order models of unsteady viscous flows in turbomachinery using viscous-inviscid coupling , 2001 .
[8] Roberto Conti,et al. Non-linear differential equations , 1966 .
[9] Olivier A. Bauchau,et al. An Implicit Floquet Analysis for Rotorcraft Stability Evaluation , 1998 .
[10] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[11] A. M. Lyapunov. The general problem of the stability of motion , 1992 .
[12] Earl H. Dowell,et al. Three-Dimensional Transonic Aeroelasticity Using Proper Orthogonal Decomposition-Based Reduced-Order Models , 2001 .
[13] C. E. Hammond,et al. Efficient numerical treatment of periodic systems with application to stability problems. [in linear systems and structural dynamics] , 1977 .
[14] R. Seydel. Practical bifurcation and stability analysis : from equilibrium to chaos , 1994 .
[15] R. Seydel. Practical Bifurcation and Stability Analysis , 1994 .
[16] V. V. Bolotin,et al. Nonconservative problems of the theory of elastic stability , 1963 .
[17] B. Feeny,et al. On the physical interpretation of proper orthogonal modes in vibrations , 1998 .
[18] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[19] Richard L. Bielawa,et al. Rotary wing structural dynamics and aeroelasticity , 1992 .
[20] E. Suhubi. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields: Applied Mathematical Science, Vol. 42, J. Guckenheimer and P. Holmes, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo (1983). XVI + 453 pp., 206 figs, DM 104 , 1988 .
[21] A. Vakakis,et al. PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS , 2001 .
[22] M. Borri,et al. Integration of elastic multibody systems by invariant conserving/dissipating algorithms. II. Numerical schemes and applications , 2001 .
[23] Paolo Mantegazza,et al. A Multi-Body Implementation of Finite Volumes C Beams , 1999 .
[24] Paolo Mantegazza,et al. Multistep Integration of Ordinary, Stiff and Differential-Algebraic Problems for Multibody Dinamics Applications , 2001 .
[25] Lawrence N. Virgin,et al. Measuring the Stability of Periodic Attractors Using Perturbation-Induced Transients: Applications to Two Non-Linear Oscillators , 1994 .
[26] M. A. Akanbi,et al. Numerical solution of initial value problems in differential - algebraic equations , 2005 .
[27] Olivier A. Bauchau,et al. An Implicit Transition Matrix Approach to Stability Analysis of Flexible Multi-Body Systems , 2001 .
[28] G. H. Gaonkar,et al. Parallel fast-floquet analysis of trim and stability for large helicopter models , 2001 .
[29] L. Goddard. Non-Linear Oscillations , 1963, Nature.
[30] T. A. Burton,et al. Stability and Periodic Solutions of Ordinary and Functional Differential Equations , 1986 .
[31] Lennart Ljung,et al. System Identification: Theory for the User , 1987 .