Abstract
The response of structural elements to a simple harmonic, transverse excitation is considered. The effects of both initial curvature and midsurface stretching are included; thus, the governing equations contain both quadratic and cubic terms. A perturbation technique, the method of multiple scales, is used to determine the response. Attention is focused on the subharmonic resonance Ω≅2ω2, where Ω is the forcing frequency and ω2 is a natural frequency. If the system possesses an internal resonance of the form ω2≅2ω1, energy may be transferred from the second mode to the first mode. The structural response is investigated in the presence, and in the absence, of this internal resonance. A comparison of the results reveals that the amplitude of the response can be significantly reduced by the presence of such an internal resonance. This suggests a means of passive vibration control. Also, the internal resonance causes a saturation phenomenon and a role reversal between the directly and indirectly excited modes.
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.
