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Both ends of the beam are hinged and immovable. The driving frequency is omega-sub-p, not omega. The aim of the study is to determine the behavior of the beam for various q-sub-0 and omega-sub-p.
Especially considered is the forcing frequency, omega-sub-p = 6.9 for different q-sub-0.
This and the next 3 images are from:
A.V. Krys’ko, M.V. Zhigalov and V.V. Soldatov (Saratov State Technical University, Saratov, Russia)
“Analysis of chaotic vibrations for the distributed systems in the form of the Bernoulli-Euler beams using the wavelet transform”, in: Structural Mechanics and Strength of Flight Vehicles, ISSN 1068-7998, Russian Aeronautics (Izv. VUZ) Vol. 52, No. 4, pp 399-407, 2009
DOI: 10.3103/S1068799809040059
ABSTRACT: A problem on chaotic vibrations of the Bernoulli–Euler beams is formulated. The wavelet transform was first applied to investigate the complex beam vibrations. The validity of results is provided by using two methods of solution, namely, the finite element method and finite difference method.
INTRODUCTION: The Fourier analysis, that is, the analysis based on the fast Fourier transform, is one of the most spread for investigating the chaotic dynamics of different physical nature. Its application for the distributed mechanical systems such as beams, plates, and shells is discussed in [1–8]. In addition, at present the signal analysis based on the wavelet transform is rapidly progressing. In this paper, we demonstrate the advantage of this line that permits studying the processes of time variation in the vibration character on the basis of a frequency-time spectrum.
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