Abstract
This paper proposes an optimal control strategy and corresponding method, to use the advantageous characteristics of the axial support motion to control the stayed cable vibrations in plane by wind excitation. Through a thorough investigation of wide-band random wind excitation and spatial relativity of the wind load along the cable, this study derives realistic and accurate motion equations of the control system. These motion equations are simplified into the form of the first four modes using the Galerkin method. The Itô stochastic differential equations of partial average for the system energy are derived using the stochastic averaging method of the quasi-integrable Hamiltonian systems. Furthermore, the dynamic programming equations with performance index are established by the stochastic dynamic programming principle. The random optimal control law is obtained by solving the dynamic programming equations using the approximate method. The numerical results show that, when standard deviations of the axial support motion are the same, the reduction of the standard deviation of the cable acceleration, and the cable displacement under the stochastic optimal control (SOC) law proposed by this paper, is larger than that under bilinear (BL) control. The SOC method proposed in this paper provides better results than the BL method.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call