NEHRP Clearinghouse

Title
Optimal Control of Nonlinear Flexible Structures.
File
PB88213772.pdf
Author(s)
Yang, J. N.; Long, F. X.; Wong, D.
Source
National Science Foundation, Washington, DC., January 22, 1988, 113 p.
Identifying Number(s)
NCEER-88-0002
Abstract
Three optimal control algorithms are proposed for reducing oscillations of flexible nonlinear structures subjected to general stochastic dynamic loads, such as earthquakes, waves, winds, etc. The optimal control forces are determined analytically by minimizing a time dependent quadratic performance index, and nonlinear equations of motion are solved using the Wilson-theta numerical procedures. The optimal control algorithms developed for applications to nonlinear structures are computationally efficient and suitable for on-line implementation of active control systems to realistic nonlinear structures. Numerical examples are worked out to demonstrate the applications of these optimal control algorithms to nonlinear structures. In particular, control of structures undergoing inelastic deformations under strong earthquake excitations are illustrated. The advantage of using combined passive/active control systems is also demonstrated.
Keywords
Earthquake resistant structures; Optimal control algorithms; Dynamic structure analysis; Nonlinear flexible structures; Elastic waves