### Abstract

A singular-solution approach is used to derive n discrete coupled ordinary differential equations governing the transient dynamic response of an initially stressed flat plate that is assumed to be a continuum model of a large space structure. Non-proportional damping is assumed. A reduced-order model of N ( less than equivalent to n) coupled ordinary differential equations is derived in terms of the amplitudes of pseudo-modes of the nominally undamped system. Optimal control is implemented using m ( less than equivalent to N) control-force actuators, in addition to a possible number p ( less than equivalent to m) passive viscous dampers. Algorithms for efficient solution of Riccati equations are implemented.

Original language | English |
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Pages (from-to) | 139-147 |

Number of pages | 9 |

Journal | American Society of Mechanical Engineers, Aerospace Division (Publication) AD |

State | Published - 1984 |