Nonlinear Dynamics and Stability of a Two D.O.F. Elastic/Elasto-Plastic Model System |
| |
Authors: | Sorokin SV Terentiev AV Karihaloo BL |
| |
Affiliation: | (1) Department of Engineering Mechanics, State Marine Technical University of St. Petersburg, Lotsmanskaya str.3, St. Petersburg, 190008, Russia;(2) University of Wales Cardiff, Cardiff School of Engineering, Queen's Buildings, PO Box 686, Cardiff, CF2 3TB, United Kingdom |
| |
Abstract: | The local and global nonlinear dynamics of a two-degree-of-freedom model system is studied. The undeflected model consists
of an inverted T formed by three rigid bars, with the tips of the two horizontal bars supported on springs. The springs exhibit an elasto-plastic
response, including the Bauschinger effect. The vertical rigid bar is subjected to a conservative (dead) or non-conservative
(follower) force having static and periodic components. First, the method of multiple scales is used for the analysis of the
local dynamics of the system with elastic springs. The attention is focused at modal interaction phenomena in weak excitation
at primary resonance and in hard sub-harmonic excitation. Three different asymptotic expansions are utilised to get a structural
response for typical ranges of excitation parameters. Numerical integration of the governing equations is then performed to
validate results of asymptotic analysis in each case. A full global nonlinear dynamics analysis of the elasto-plastic system
is performed to reveal the role of plastic deformations in the stability of this system. Static 'force-displacement' curves
are plotted and the role of plastic deformations in the destabilisation of the system is discussed. Large-amplitude non-linear
oscillations of the elasto-plastic system are studied, including the influence of material hardening and of static and sinusoidal
components of the applied force. A practical method is proposed for the study of a non-conservative elasto-plastic system
as a non-conservative elastic system with an 'equivalent' viscous damping.
This revised version was published online in July 2006 with corrections to the Cover Date. |
| |
Keywords: | Plasticity and visco-plasticity Stability Vibrations (structures) Nonlinear dynamics |
本文献已被 SpringerLink 等数据库收录! |
|