Mathematical modeling of the processing of holes on CNC machines

Mironova, Lubov; Kondratenko, Leonid

doi:10.1016/j.matpr.2019.07.691

Cited by 11 publications

(7 citation statements)

References 1 publication

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“…These shortcomings require a better machine design as suggested by the previous study [16]. Other solutions include a better software implementation [16][29], more complex yet reliable mathematical modelling [30], or more precise sensors such as real-time vibration monitoring [20], transducer in a kinematic probe [17], or laser measurement systems [24]. Furthermore, as a technology driven product research, the design and development phase of CNC milling machine often overlook the interdisciplinary approach, especially from industrial and human factors studies [31].…”

Section: Flatness Of the Machine Base Tablementioning

confidence: 99%

Three axis deviation analysis of CNC milling machine

Subagio

Subekti

Saputra

et al. 2019

J. Mechatron. Electr. Power Veh. Technol.

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The manufacturing technology has developed rapidly, especially those intended to improve the precision. Consequently, increasing precision requires greater technical capabilities in the field of measurement. A prototype of a 3-axis CNC milling machine has been designed and developed in the Research Centre for Electrical Power and Mechatronics, Indonesian Institute of Sciences (RCEPM-LIPI). The CNC milling machine is driven by a 0.4 kW servo motor with a spindle rotation of 12,000 rpm. This study aims to measure the precision of the CNC milling machine by carrying out the measurement process. It is expected that the CNC milling machine will be able toperform in an optimum precision during the manufacturing process. Accuracy level testing is done by measuring the deviations on the three axes namely X-axis, Y-axis, and Z-axis, as well as the flatness using a dial indicator and parallel plates. The measurement results show the deviation on the X-axis by 0.033 mm, the Y-axis by 0.102 mm, the Z-axis by 0.063 mm, and the flatness of the table by 0.096 mm, respectively. It is confirmed that the deviation value is within the tolerance standard limits set by ISO 2768 standard. However, the calibration is required for this CNC milling machine to achieve more accurate precision. Furthermore, the design improvement of CNC milling machine and the application of information technology in accordance with Industry 4.0 concept will enhance the precision and realibility.

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Section: Flatness Of the Machine Base Tablementioning

confidence: 99%

Three axis deviation analysis of CNC milling machine

Subagio

Subekti

Saputra

et al. 2019

J. Mechatron. Electr. Power Veh. Technol.

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“…Many studies of dynamic systems, adapted to specific technological processes, include various approaches to the construction of a mathematical model. For example, in [2][3][4][5], modeling of complex technological objects was carried out on the basis of the method using the well-known equations of the momentum in differential form for longitudinal and torsional vibrations. This approach made it possible to relate the fluctuations in the velocities and stresses in rather complex systems with both distributed parameters and significant nonlinearities.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Investigation of rigid dynamic systems on the example of modelling a tape drive mechanism

Nigay

Mironova

2020

MATEC Web Conf.

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The features of modeling the dynamics of mechanical systems on the example of the operation of the tape drive mechanism related to real technological processes are stated. An approach to solving stiff systems of differential equations by the numerical-analytical method is noted. The approach is based on solving systems of higher-order differential equations using elementary functions using procedures for precision search for the roots of the characteristic polynomial of the system. A mathematical model of the tape drive mechanism of a VCR is given as an example of a precision electromechanical object.

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“…We supplement equation 5by the equation quantity of momentum in the differential form [7][8][9], by taking υ = ∂u /∂t. We obtain…”

Section: Introductionmentioning

confidence: 99%

“…Here hn is coefficient of losses on the friction; m, l are mass and length of the spring; Z (s) is the spring elasticity function; c is the coefficient of friction losses proportional to the stress in the mechanism [7,9]. From equations (14), (15), taking αn = lω (ρy / Ey) 1/2 , one can obtain various transfer functions, for example, the function of the influence of force on fluctuations in the valve speed…”

Section: Introductionmentioning

confidence: 99%

Oscillations in a nonlinear spring mechanism with one degree of freedom

Kondratenko

Mironova

2020

MATEC Web Conf.

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A new method for studying dynamics in a nonlinear spring- loaded mechanism is described, which consists in describing a spring as an elastic solid rod with conditional density and elastic modulus. When studying vibrations in such a rod, instead of the well-known second-order differential equation, two derived first-order equations are used that relate the acceleration and gradient of speed to the velocity and gradient of the change in the voltage of the particles of a given body. The frequency characteristic of the linear mechanism is given. The behavior of the mechanism in the presence of significant nonlinearity is considered. The self-oscillation parameters are determined that make it possible to estimate the design life.

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Mathematical modeling of the processing of holes on CNC machines

Cited by 11 publications

References 1 publication

Three axis deviation analysis of CNC milling machine

Three axis deviation analysis of CNC milling machine

Investigation of rigid dynamic systems on the example of modelling a tape drive mechanism

Oscillations in a nonlinear spring mechanism with one degree of freedom

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