Nonlinear dynamics of a machining system with two interdependent delays

Gouskov, A.; Voronov, Sergey A.; Paris, Henri; Batzer, Stephen A.

doi:10.1016/s1007-5704(02)00014-x

Cited by 50 publications

(19 citation statements)

References 3 publications

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“…Each cutter (numbered by the index ) is represented as a rigid body, independently fixed on the carrier by a holder, featuring its individual stiffness and damping. The equations, formulating the cutting-generated surfaces are bead on the following finite relations [4,9,15,16]:…”

Section: Modeling Approachmentioning

confidence: 99%

Multi-cutter turning process stability analysis

Gouskov¹,

Guskov²,

Tung³

et al. 2018

Vib. proced.

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Section: Modeling Approachmentioning

confidence: 99%

Multi-cutter turning process stability analysis

Gouskov¹,

Guskov²,

Tung³

et al. 2018

Vib. proced.

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“…The models of subsystems on the tool and workpiece side are commonly considered in the form of finite-dimensional spatial structures. The representation of cutting forces in state coordinates are non-linear in principle and takes into account their dependence on the area of the cutting layer [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], regenerative self-excitation for linear [8] and non-linear [21][22][23][24][25][26] models. The delay of forces action in relation to elastic deformations [9,13,16,27] is also considered as well as the decrease of forces at increased cutting speed [12,13], the impact of friction forces at the tool edges [28,29].…”

Section: Statement Of the Research Problemmentioning

confidence: 99%

The energy efficiency of the process of metal cutting at the expense of the sustainability of the evolutionary trajectory of the cutting

et al. 2019

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The problem of ensuring the sustainability of the processing process is directly related to the energy efficiency of the entire processing process. Virtually any machine the control of motion of which is considered interacts with the environment (technological, aerodynamic, trybologic, etc.). If one sticks to the synergetic analytical concept, the influence of the environment is described by a model of forces in state coordinates. The interaction is also characterized by the irreversible transformation capacity trajectory on the work. As a result, the system parameters are change causing additional strain displacements changing the trajectory. This transformation characterizes internal control and they are defined not by external action but by internal self-organization and defines the evolutionary trajectory. The properties of the system along the evolutionary trajectory change and the trajectory can lose its stability. The article considers the process of mathematical simulation of the evolutionary trajectory forming by the example of metalwork by cutting at turning machines and analyzes its stability. The evolution is presented as the parameters of the system depending on the capacity and work trajectory and presented by the Volterra integral equation of the second kind. When the trajectory loses its stability, irreversible changes can be formed in the system which may cause a complete system breakdown. In addition, the loss of stability leads to an increase in the oscillation amplitude of the tool and, as a consequence, an increase in energy costs for processing.

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“…Depending on the stiffness and relative positioning, different oscillation and chip formation patterns take place. This paper is a development of studies conducted in [8,9,[10][11][12][13]. Unlike our previous works, the main goal of this study is to identify the effect of technological parameters of cutting (depth of cut, cutting speed, angular speed of the part) and the installation axial and / or angular displacement of the cutters on the stability of the continuous (vibration-free) cutting mode.…”

Section: Multiple Cutter Turning Dynamics Modelmentioning

confidence: 99%

“…One of the methods of increasing the productivity of the turning process is the use of multiple cutter systems, in which the effective depth of cut in one pass can be increased, the cutting forces can be partially balanced (especially in the transversal direction, which is particularly important for thin-walled workpieces), cutting operations can be combined (e.g., raw and finishing), and the processing time can be substantially reduced. Several works have addressed multiple cutter turning systems in recent years [2,4,8,9,10,11,12,13,19,20].…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

Nonlinear Regenerative Dynamics Analysis of the Multicutter Turning Process

Gouskov¹,

Guskov²,

Tung³

et al. 2019

Nelin. Dinam.

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This work presents nonlinear dynamics modeling results for an investigation of continuous cut stability in multicutter turning. The dynamics modeling of the multicutter turning process is carried out through the complete mathematical model of nonlinear dynamics. The dynamic stability of the system is estimated through the possibility of self-oscillations generation (Poincaré-Andronov-Hopf bifurcation) of the cutters with lobes of the stability diagram. This paper analyzes the relationship of the axial offset and the cutter angular position for compensation of the system parameters. As a result, the analysis of the influence of the technological system parameters on the chip thickness, their cross-sectional shape and the stability of the system is carried out.

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Nonlinear dynamics of a machining system with two interdependent delays

Cited by 50 publications

References 3 publications

Multi-cutter turning process stability analysis

Multi-cutter turning process stability analysis

The energy efficiency of the process of metal cutting at the expense of the sustainability of the evolutionary trajectory of the cutting

Nonlinear Regenerative Dynamics Analysis of the Multicutter Turning Process

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