Response of sliding structures to earthquake support motion

1983 ◽  
Vol 11 (6) ◽  
pp. 729-748 ◽  
Author(s):  
N. Mostaghel ◽  
J. Tanbakuchi
Keyword(s):  
Support Motion ◽  
Sliding Structures

Response of sliding structures to harmonic support motion

1983 ◽  
Vol 11 (3) ◽  
pp. 355-366 ◽  
Author(s):  
N. Mostaghel ◽  
M. Hejazi ◽  
J. Tanbakuchi
Keyword(s):  
Support Motion ◽  
Sliding Structures

Optimal Control of Nonlinear Parametrically Excited Beam Vibrations by Spatially Distributed Sensors and Actors

1997 ◽  
Author(s):  
Andreas Kugi ◽  
Kurt Schlacher ◽  
Hans Irschik
Keyword(s):  
Axial Strain ◽  
Equations Of Motion ◽  
Nonlinear Formulation ◽  
Control Laws ◽  
Distributed Sensors ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Piezoelectric Layers ◽  
Spatially Distributed ◽  
Support Motion

Abstract This contribution is focused on a straight composite beam with multiple piezoelectric layers under the action of an axial support motion. In the sense of v. Karman a nonlinear formulation for the axial strain is used and the equations of motion are derived by means of the Hamilton formalism. This system turns out to be a special class of infinite dimensional systems, the so called Hamilton AI-systems with external inputs. In order to suppress the excited vibrations two infinite control laws are proposed. The first one is an infinite PD-feedback law and the second one is based on the nonlinear H∞-design, where an exact solution of the corresponding Hamilton Jacobi Isaacs equation is presented. The necessary quantities for the control laws can be measured by appropriate space-wise shaped sensors and the asymptotic stability of the equilibrium point can be proved.

Analysis of nonlinear sliding structures by modified stochastic linearization methods

1994 ◽  
Vol 5 (3) ◽  
pp. 299-312 ◽  
Author(s):  
Ruichong Zhang ◽  
Isaac Elishakoff ◽  
Masanobu Shinozuka
Keyword(s):  
Linearization Methods ◽  
Stochastic Linearization ◽  
Sliding Structures

Transient Response of a Shear Beam to Correlated Random Boundary Excitation

1977 ◽  
Vol 44 (3) ◽  
pp. 487-491 ◽  
Author(s):  
S. F. Masri ◽  
F. Udwadia
Keyword(s):  
Time Delays ◽  
Spectral Characteristics ◽  
Mean Square Displacement ◽  
Dimensionless Time ◽  
Mean Square ◽  
Random Boundary ◽  
Mean Square Response ◽  
Shear Beam ◽  
The Mean ◽  
Support Motion

The transient mean-square displacement, slope, and relative motion of a viscously damped shear beam subjected to correlated random boundary excitation is presented. The effects of various system parameters including the spectral characteristics of the excitation, the delay time between the beam support motion, and the beam damping have been investigated. Marked amplifications in the mean-square response are shown to occur for certain dimensionless time delays.

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