Generalized dynamic model of metal cutting operations

Effect of Nominal Chip Thickness on Stability of Interrupted Turning

“…With ℎ 0 increasing, limit cutting width increases first and then changes to the trend of decrease, and maximum limit cutting width can be got at ℎ 0 = 0.14 mm. According to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], limit cutting width depends on cutting force coefficients, and limit cutting width varies inversely as cutting force coefficients. From (7), it is can be known that cutting force coefficient 0 is the slope of curve shown in Figure 5.…”

“…An interrupted turning cutting force model was proposed and a detailed analysis of the stability was performed by Seguy et al [14]. In the above studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14], the cutting force models are linear, without considering nonlinearities in terms of chip thickness. Given this, powerlaw function for cutting force was used to analyse chatter by Hanna and Tobias [15] and Stépán et al [16] and Yang et al [17].…”

“…The oblique transformation method is most useful when modeling solid tools with continuously varying edge and chip geometry [10]. A unified geometric, kinematic, and mechanic model was proposed which allows the prediction of chatter stability for multiple machining operations with defined cutting edges by Altintas et al [11,12]. A novel dynamic cutting force model is proposed by Li et al [13], in which the cutting mechanism and the cutting force contribution on both the peripheral and the front cutting edges are taken into consideration simultaneously.…”

“…It is worth noting that, in the above studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], dynamic cutting forces are only the function of dynamic chip thickness, and cutting force versus unit of dynamic chip thickness must be unique. However as shown in Figure 1, cutting forces versus the same dynamic chip thickness (Δℎ 1 = Δℎ 2 ) are unequal at different nominal chip thickness (Δ 1 ̸ = Δ 2 ), due to the fact that the nominal chip thickness is neglected.…”

A Method to Determine Cutting Force Coefficients in Turning Using Mechanistic Approach

“…Kishawy et al [7] proposed one more analytical force model for metal matrix composites by considering the effect of particle sizes on machining forces. More recently, Altintas et al [8] studied on a unified mathematical model for prediction of chatter stability for multiple machining operations such as turning, boring, drilling and milling with defined cutting edges. Although analytical models are more generic in nature, predicted forces are not very accurate in oblique cutting operation due to determination of cutting constants by orthogonal cutting parameters that limits the use of analytical models in various cutting processes.…”