A point transformation technique is developed to investigate the non-linear behavior of a two-dimensional aeroelastic system with freeplay models. Two formulations of the point transformation method are presented, which can be applied to accurately predict the frequency and amplitude of limit cycle
NON-LINEAR AEROELASTIC ANALYSIS USING THE POINT TRANSFORMATION METHOD, PART 2: HYSTERESIS MODEL
โ Scribed by L. LIU; Y.S. WONG; B.H.K. LEE
- Book ID
- 102608450
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 272 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
This paper investigates the dynamic response of a two-dimensional aeroelastic system with structural non-linearity represented by hysteresis. The formulations of the point transformation method developed in Part 1 of this study for the aeroelastic system with a freeplay model is extended for a hysteresis model. These formulations can be applied not only to predict the amplitude and frequency of limit cycle oscillations, but also to detect complex aeroelastic responses such as periodic motion with harmonics, period doubling, chaotic motion and the coexistence of stable limit cycles. It is shown that the point transformation technique is the most suitable to analyze the aeroelastic response of systems containing piecewise continuous restoring forces.
๐ SIMILAR VOLUMES
Use of the higher order method of multiple scales with reconstitution to determine the periodic steady state response of harmonically excited non-linear oscillators is considered. The well known primary resonance in the Duffing oscillator is considered as a prototype example. Second order mutliple-s