2019
DOI: 10.1016/j.euromechsol.2019.03.009
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Size dependent vibration analysis of micro-milling operations with process damping and structural nonlinearities

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Cited by 12 publications
(12 citation statements)
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“…To solve the nonlinear ordinary differential equations of motion (21) for wing vibration, the multiple-scales approach is used to obtain the system responses in time and frequency domains. In this method, an expansion representing the response to be a function of multiple independent scales is used, where is a small parameter representing the time scale [17].…”
Section: Solution Methodsmentioning
confidence: 99%
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“…To solve the nonlinear ordinary differential equations of motion (21) for wing vibration, the multiple-scales approach is used to obtain the system responses in time and frequency domains. In this method, an expansion representing the response to be a function of multiple independent scales is used, where is a small parameter representing the time scale [17].…”
Section: Solution Methodsmentioning
confidence: 99%
“…Using the method of multiple scales (MMS), Zafari et al [17] presented an analytical approach to analyze the nonlinear flutter responses of a wing under a transverse follower force. MMS has also been used in the other nonlinear multi-degree of freedom systems such as nonlinear chatter vibration [18][19][20], nonlinear vibration of micro structures [21] and nonlinear vibroacoustic problems [22].…”
Section: Introductionmentioning
confidence: 99%
“…The differences are explained by the authors with decreasing damping at high speeds and the Coriolis-effect due to rotational and vibrational movements. Mokhtari et al [144] presented a novel method to study the unstable vibrational behaviour of micro-milling. Their studies took into account the size effect, the gyroscopic moment, the rotary inertia, the structural nonlinearities and process damping.…”
Section: Vibrations In Micro-millingmentioning
confidence: 99%
“…In the captured images, the tool can be in any positions, and the algorithm can evaluate it correctly. This is based on the fact that the size of the tool (which perpendicular to the cutting edges of the tool) does [4], [33], [38], [46], [48], [51], [54], [83], [88], [89], [122], [133], [144], [164], [165], [166], [167], [168] AISI 1015: [169] AISI 1018: [125] AISI 1040: [77] AISI 1050: [37] AISI 4340: [119], [139], [170] AISI P20: [20], [145], [164] S960QL: [171] NAK80: [123], [172], [173], [174] AISI A2-annealed: [175] 42CrMo4: [167] X13NiMnCuAl4-2-1-1: [146] SK2: [176] Hardened steels AISI H13: [2], [30], [42], [72], [80], [164], [177], [178], [179],…”
Section: Micro-milling Process Monitoringmentioning
confidence: 99%
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