By C. Steve Suh
Presents new advancements on desktop software vibration keep watch over according to discontinuous dynamical systems
Machining instability is a topical region, and there are quite a lot of courses that hide the subject. even if, lots of those prior experiences have all started via assuming that the habit of the process may be linearised. in the meantime, there are numerous contemporary advances within the fields of sign processing, nonlinear dynamics, and nonlinear keep watch over, all of that are proper to the machining balance problem. This publication establishes the basics of slicing mechanics and laptop software dynamics within the simultaneous time-frequency domain. the recent nonlinear regulate conception built by way of the authors that allows simultaneous regulate of vibration amplitude within the time-domain and spectral reaction within the frequency-domain presents the basis for the improvement of a controller structure universally plausible for the regulate of dynamic instability together with bifurcation and chaos. as soon as parameters underlying the coupling, interplay, and evolution of alternative slicing states and among the device and workpiece are demonstrated, they could then be included into the structure to create a keep an eye on technique that mitigate machining instability and allow powerful, chatter-free computer software layout acceptable particularly to excessive pace micro- and nano-machining.
- Presents new advancements on computer instrument vibration keep an eye on in response to discontinuous dynamical systems
- Provides a transparent and concise method of the knowledge and regulate of computing device instrument and workpiece vibrations from another view, contributing to an in-depth figuring out of slicing dynamics and strong regulate of machining instability
- Equips the reader with the data to appreciate the dynamics of slicing and operation of machine-tool platforms in several stipulations in addition to the concept that of slicing instability control
- Includes info examples in MATLAB coding
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Extra resources for Control of Cutting Vibration and Machining Instability: A Time-Frequency Approach for Precision, Micro and Nano Machining
En }. V is a linear combination of its components V = [v1 , v2 , . . 1) where the superscript T denotes the transpose of the vector. The Euclidean inner product of vectors V and U, which deﬁnes the projection of one vector onto the other, is a scalar sum of Control of Cutting Vibration and Machining Instability: A Time-Frequency Approach for Precision, Micro and Nano Machining, First Edition. C. Steve Suh and Meng-Kun Liu. © 2013 John Wiley & Sons, Ltd. Published 2013 by John Wiley & Sons, Ltd.
If the system continues to deteriorate, more period-doublings would occur and more low-order subharmonic frequency components would appear in the time-frequency domain. Similar situations would also arise for the secondary Hopf bifurcation, where a frequency component incommensurate to the forcing frequency would appear afterwards. 8 sec. Even though time-frequency distribution does work for some simple cases, it cannot provide the necessary resolution for analyzing nonlinear, nonstationary signals and identifying bifurcation and system dynamic states.
Although the presence of many incommensurate frequencies in the motion inevitably complicates the time waveform and phase portrait of a quasi-periodic motion, this kind of response can be determined using Poincar´e maps and Fourier transform. The corresponding phase portrait will show complex closed orbits and the Poincar´e map will contain one or more closed-orbit-like point groups. 4 shows the waveform, phase portrait, and Poincar´e map of a quasi-periodic response. This response is obtained from a time-delayed model in .