A novel harmonic solution for chatter stability of time periodic systems
نویسندگان
چکیده
Chatter vibrations strongly limit productivity in milling. Due to the presence of rotating parts with asymmetric stiffness and stability enhancement strategies which act through a periodic variation stiffness, there is growing interest estimating maps systems Linear Time Periodic dynamics together cutting excitation. Applying Exponentially Modulated test signals dynamic force equation representing system Harmonic Transfer Function, innovative Solution (HS) its zero-order approximation were derived this research. HS frequency domain representation described by combination two independent periodicities. It possible take into account these periodicities or singularly, resulting Zero Order well-known Multi-Frequency Solution. This novel formulation can deal efficiently spindle dependent prone industrial applications due flexibility efficiency. More specifically, work developed methodologies used assess periodically modulated stiffness. The accuracy efficiency validated comparison results achieved use semi-discretization method. Results are agreement those obtained using semi-discretization. Moreover, admitting slight precision loss, orders magnitude faster than semi-discretization, giving reliable from seconds few minutes.
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ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2021
ISSN: ['1095-8568', '0022-460X']
DOI: https://doi.org/10.1016/j.jsv.2020.115719