Chaotic and stochastic dynamics of orthogonal metal cutting
| Autor: | A.H-D. Cheng, Marian Wiercigroch |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
General Mathematics
Applied Mathematics Chaotic Univariate Process (computing) General Physics and Astronomy Statistical and Nonlinear Physics Noise (electronics) symbols.namesake Control theory symbols Statistical physics Transient (oscillation) Random variable Gaussian process Chaotic hysteresis Mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 8:715-726 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/s0960-0779(96)00111-7 |
| Popis: | A model of the cutting process is formulated based on a random variation of the specific cutting resistance. The cutting resistance is generated as a one-dimensional univariate Gaussian process using the spectral representation method. The random responses are discussed and compared with the deterministic ones within the ranges of parameters where chaotic motion occurs. Contrary to a claim for continuous systems, in which the variance of the noise dampens the chaotic vibration, such a behavior is not observed in the discontinuous system. The chaotic response is still present and the stochasticity induces immense impact forces during the transient period. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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