Reversible dynamical systems: Dissipation-induced destabilization and follower forces

Oliver M. O'Reilly; Naresh K. Malhotra; N. Sri Namachchivaya

doi:10.1016/0096-3003(94)00117-M

Reversible dynamical systems: Dissipation-induced destabilization and follower forces

Oliver M. O'Reilly, Naresh K. Malhotra, N. Sri Namachchivaya

Aerospace Engineering

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Abstract

This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.

Original language	English (US)
Pages (from-to)	273-282
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	70
Issue number	2-3
DOIs	https://doi.org/10.1016/0096-3003(94)00117-M
State	Published - Jul 1995

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Computational Mathematics
Applied Mathematics

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title = "Reversible dynamical systems: Dissipation-induced destabilization and follower forces",

abstract = "This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.",

author = "O'Reilly, {Oliver M.} and Malhotra, {Naresh K.} and {Sri Namachchivaya}, N.",

note = "Funding Information: The work of N. K. Malhotra and N. S. Namachchivaya was supported by the AFOSR (grant no. 93-0063). All of the authors would like to thank the Fields Institute for Research in Mathematical Sciences (Waterloo, Canada) where some of the work presented here was initiated.",

year = "1995",

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doi = "10.1016/0096-3003(94)00117-M",

language = "English (US)",

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journal = "Applied Mathematics and Computation",

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T2 - Dissipation-induced destabilization and follower forces

AU - O'Reilly, Oliver M.

AU - Malhotra, Naresh K.

AU - Sri Namachchivaya, N.

N1 - Funding Information: The work of N. K. Malhotra and N. S. Namachchivaya was supported by the AFOSR (grant no. 93-0063). All of the authors would like to thank the Fields Institute for Research in Mathematical Sciences (Waterloo, Canada) where some of the work presented here was initiated.

PY - 1995/7

Y1 - 1995/7

N2 - This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.

AB - This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.

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U2 - 10.1016/0096-3003(94)00117-M

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

Reversible dynamical systems: Dissipation-induced destabilization and follower forces

Abstract

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