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Forces in the Double Pendulum
Author(s) -
Ohlhoff A.,
Richter P.H.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200008)80:8<517::aid-zamm517>3.0.co;2-1
Subject(s) - quasiperiodic function , chaotic , fourier transform , wavelet , pendulum , classical mechanics , amplitude , chaotic systems , representation (politics) , double pendulum , motion (physics) , fourier analysis , statistical physics , mathematics , wavelet transform , fourier series , mathematical analysis , physics , computer science , inverted pendulum , artificial intelligence , optics , nonlinear system , quantum mechanics , politics , law , political science
For the engineering of mechanical systems with a complex interplay of regular and chaotic behavior it is important to know the forces involved. It is shown how they can be computed and their time development evaluated. Characteristic features of periodic, quasiperiodic, and chaotic motion are identified. Classical methods such as Fourier transform and various statistics are used and compared to a redundant version of wavelet analysis. The latter is proposed as the most informative coherent representation of the distribution of times, frequencies, and amplitudes.