First order homogeneous dynamical systems 2: application to cracked concrete beams
by Umesh Kumar Pandey; Gurmail S. Benipal
International Journal of Structural Engineering (IJSTRUCTE), Vol. 8, No. 3, 2017

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.

Online publication date: Sun, 10-Sep-2017

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Structural Engineering (IJSTRUCTE):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email