RU98110663A - FREQUENCY METHOD FOR DETERMINING THE BOUNDARIES OF SUSTAINABLE CUTTING ON LATHES WITH A NONLINEAR CHIPPING PROCESS - Google Patents

FREQUENCY METHOD FOR DETERMINING THE BOUNDARIES OF SUSTAINABLE CUTTING ON LATHES WITH A NONLINEAR CHIPPING PROCESS

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Publication number
RU98110663A
RU98110663A RU98110663/02A RU98110663A RU98110663A RU 98110663 A RU98110663 A RU 98110663A RU 98110663/02 A RU98110663/02 A RU 98110663/02A RU 98110663 A RU98110663 A RU 98110663A RU 98110663 A RU98110663 A RU 98110663A
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RU
Russia
Prior art keywords
cutting
determining
lathes
boundaries
chip formation
Prior art date
Application number
RU98110663/02A
Other languages
Russian (ru)
Other versions
RU2152847C2 (en
Inventor
Ю.Н. Санкин
Н.Ю. Санкин
Original Assignee
Ульяновский государственный технический университет Российской Федерации
Filing date
Publication date
Application filed by Ульяновский государственный технический университет Российской Федерации filed Critical Ульяновский государственный технический университет Российской Федерации
Priority to RU98110663A priority Critical patent/RU2152847C2/en
Priority claimed from RU98110663A external-priority patent/RU2152847C2/en
Publication of RU98110663A publication Critical patent/RU98110663A/en
Application granted granted Critical
Publication of RU2152847C2 publication Critical patent/RU2152847C2/en

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Claims (1)

Частотный способ определения границ устойчивого резания на токарных станках при нелинейном процессе стружкообразования, включающий измерение статических податливостей, собственных частот колебаний, декрементов колебаний основных звеньев динамической системы станка, определение коэффициентов динамической характеристики процесса резания, постоянных времени стружкообразования, получение параметра, характеризующего границу устойчивого резания, отличающийся тем, что осуществляют построение частотного годографа по формуле
Figure 00000001

где 1-χe-iωτ - множитель, учитывающий параллельное запаздывающее воздействие следов обработки;
χ - коэффициент перекрытия;
ω - круговая частота;
τ - время одного оборота заготовки;
T'p - постоянная времени стружкообразования;
WЭYC(iω) - передаточная функция эквивалентной упругой системы,
по которой определяют отрицательную вещественную составляющую
Figure 00000002
которую принимают в качестве параметра, при котором имеет место
Figure 00000003
осуществляют расчет критического припуска по формуле
Figure 00000004

где φ - главный угол резца в плане;
k - коэффициент резания.The frequency method for determining the boundaries of stable cutting on lathes in the non-linear process of chip formation, including the measurement of static compliance, natural frequencies, vibration decrements of the main links of the machine’s dynamic system, determining the coefficients of the dynamic characteristics of the cutting process, the time constant of chip formation, obtaining a parameter characterizing the boundary of stable cutting, characterized in that they construct a frequency travel time curve according to the formula
Figure 00000001

where 1-χe -iωτ is a factor that takes into account the parallel delayed effect of processing traces;
χ is the overlap coefficient;
ω is the circular frequency;
τ is the time of one turn of the workpiece;
T ' p is the chip formation time constant;
W EYC (iω) is the transfer function of the equivalent elastic system,
by which the negative material component is determined
Figure 00000002
which is taken as a parameter at which
Figure 00000003
calculate the critical allowance according to the formula
Figure 00000004

where φ is the main angle of the cutter in the plan;
k is the cutting coefficient.
RU98110663A 1998-06-02 1998-06-02 Frequency method of determining stable cutting boundaries on lathes during nonlinear chip-formation process RU2152847C2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
RU98110663A RU2152847C2 (en) 1998-06-02 1998-06-02 Frequency method of determining stable cutting boundaries on lathes during nonlinear chip-formation process

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
RU98110663A RU2152847C2 (en) 1998-06-02 1998-06-02 Frequency method of determining stable cutting boundaries on lathes during nonlinear chip-formation process

Publications (2)

Publication Number Publication Date
RU98110663A true RU98110663A (en) 2000-03-27
RU2152847C2 RU2152847C2 (en) 2000-07-20

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Country Status (1)

Country Link
RU (1) RU2152847C2 (en)

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