Abstract
The postcritical behavior of a 3D system of elastically restrained beams, which can manifest overall and local modes, is analyzed. The secondary bifurcation in the overall postcritical range is studied. By applying the multiple scale perturbation method it is found that the amplitude modulation phenomenon is governed by a differential equation of the second order. An approximate analytical expression of the amplitude modulating function is obtained by the WKB asymptotic method. The occurrence of a turning point which is responsible for the strong localization is revealed. Close analogies with localization of vibrations in imperfect systems are highlighted.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
