Abstract
The dynamic response of a simple two degree-of-freedom mechanical analogue is investigated to illustrate the nature of mode interaction that exists for systems in which the stiffness against vibration in one mode is sensitive to the amplitude of the vibration response in the second possible mode. This model shows that over a range of excitation energy input, dependent upon the damping characteristics and the separation between the two uncoupled natural frequencies of small vibration, a multiplicity of resonant frequencies will be observed to occur in the first mode. In some situations, and above a certain super-critical energy input level, it becomes impossible to observe the resonance that would be predicted from an uncoupled small vibration analysis of this first mode. It is suggested that this phenomenon could be displayed in a more complex manner in the dynamic response of a wide range of shell and shell-like structures.
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.
