Passive Motion Confinement of Impulses in a System of Coupled Nonlinear Beams.
Abstract
A system of weakly coupled, geometrically nonlinear beams is examined. A Galerkin procedure is used to express the motions of the two beams in terms of their linearized flexural modes. Transient, impulsive excitations are considered, and the response of the system is analytically and numerically computed. For small values of a coupling nonlinear parameter, the vibrational energy injected into the system is proved to mainly localize at the directly forced beam, and only a small portion of this energy leaks to the unforced one. This passive, transient motion confinement is solely due to nonlinear localized modes of the unforced system, and it becomes more profound as the nonlinearity increases and/or the coupling stiffness connecting the two beams decreases. In the absence of nonlinearity, the injected vibrational energy is continuously transferred between the two beams, and thus, no passive motion confinement is possible.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1993
- Accession Number
- ADP009087
Entities
People
- Alexander F. Vakakis
- Joseph Bentsman
Organizations
- University of Illinois Urbana–Champaign