Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

First order homogeneous dynamical systems 2: application to cracked concrete beams

First order homogeneous dynamical systems 2: application to cracked concrete beams In this two-part paper, a new class - first order homogeneous dynamical (FOHD) systems - of two-DOF conservative nonlinear dynamical systems has been explored. Theoretical formulation and significance of proposed theory have been presented in part-I. Using the proposed theory, the dynamical behaviour of the two-DOF cracked concrete beam has been predicted here. A new type of phase plot for MDOF dynamical systems has been proposed. Depending upon the loading details and system parameters, the vibration response of these essentially nonlinear systems can be linear, bilinear or nonlinear. Forced vibrations about the passive state have been predicted to resemble linear vibrations in some respects. Like other nonlinear dynamical systems, concrete beam response has also been found to be quite sensitive to initial conditions and system parameters, and to exhibit sub-harmonics and combination sub-harmonics. Feasibility of a nonlinear tuned mass vibration absorber has also been explored. Empirical validation and practical relevance of the proposed theory have been discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Structural Engineering Inderscience Publishers

First order homogeneous dynamical systems 2: application to cracked concrete beams

Loading next page...
 
/lp/inderscience-publishers/first-order-homogeneous-dynamical-systems-2-application-to-cracked-B1rExGJzE3
Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd
ISSN
1758-7328
eISSN
1758-7336
DOI
10.1504/IJSTRUCTE.2017.086436
Publisher site
See Article on Publisher Site

Abstract

In this two-part paper, a new class - first order homogeneous dynamical (FOHD) systems - of two-DOF conservative nonlinear dynamical systems has been explored. Theoretical formulation and significance of proposed theory have been presented in part-I. Using the proposed theory, the dynamical behaviour of the two-DOF cracked concrete beam has been predicted here. A new type of phase plot for MDOF dynamical systems has been proposed. Depending upon the loading details and system parameters, the vibration response of these essentially nonlinear systems can be linear, bilinear or nonlinear. Forced vibrations about the passive state have been predicted to resemble linear vibrations in some respects. Like other nonlinear dynamical systems, concrete beam response has also been found to be quite sensitive to initial conditions and system parameters, and to exhibit sub-harmonics and combination sub-harmonics. Feasibility of a nonlinear tuned mass vibration absorber has also been explored. Empirical validation and practical relevance of the proposed theory have been discussed.

Journal

International Journal of Structural EngineeringInderscience Publishers

Published: Jan 1, 2017

There are no references for this article.