Nonlinear interactions between two widely spaced modes - External excitation
Abstract
Recent experimental studies indicate that energy can be transferred from high- to low-frequency modes in structures with weak nonlinearity. In each of these experiments, a high-frequency mode was driven near its natural frequency but the response included a large contribution due to the first mode of the structure. In this paper, an analytical study of the response of a two-degree-of-freedom nonlinear system with widely spaced modes to simple-harmonic excitation near the natural frequency of its high-frequency mode is presented. This system serves as a paradigm for the interaction of high- and low-frequency modes.
- Publication:
-
AIAA/ASME/ASCE/AHS/ASC 34th Structures, Structural Dynamics, and Materials Conference
- Pub Date:
- April 1993
- Bibcode:
- 1993ssdm.conf.2542N
- Keywords:
-
- Energy Transfer;
- Harmonic Excitation;
- Nonlinear Systems;
- Vibration Mode;
- Degrees Of Freedom;
- High Frequencies;
- Low Frequencies;
- Nonlinearity;
- Resonant Frequencies;
- Rotating Bodies;
- Structural Mechanics