Differential Equations

, Volume 49, Issue 5, pp 607–616

Optimal control of longitudinal vibrations of composite rods with the same wave propagation time in each part

  • A. M. Rogozhnikov
Partial Differential Equations

DOI: 10.1134/S0012266113050091

Cite this article as:
Rogozhnikov, A.M. Diff Equat (2013) 49: 607. doi:10.1134/S0012266113050091

Abstract

We consider longitudinal elastic vibrations of a composite rod and find closedform expressions that describe optimal boundary controls bringing the rod from the quiescent state into a state with given displacement function φ(t) and velocity function ψ(t) in time T. We assume that the wave propagation time through each part of the rod is the same and T is a multiple of that time.

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • A. M. Rogozhnikov
    • 1
  1. 1.Moscow State UniversityMoscowRussia