Stability improvement and regenerative chatter suppression in nonlinear milling process via tunable vibration absorber

• Published in: Journal of sound and vibration Vol. 331; no. 21; pp. 4668 - 4690
• Main Authors: Moradi, Hamed, Bakhtiari-Nejad, Firooz, Movahhedy, Mohammad R., Vossoughi, Gholamreza
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 08.10.2012; Elsevier
• Subjects: Algorithms; Applied sciences; Chatter; Dynamical systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mechanical engineering. Machine design; Nonlinearity; Optimization; Physics; Regenerative; Solid mechanics; Stability; Structural and continuum mechanics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Machining; Bernoulli Euler model; Passive system; Delay equation; Modeling; Tuning; Optimization; Beam(mechanics); Chatter; Exact solution; Machine tool; Active system; Milling; Spring mass damper system; Vibration control; Cutting tool; Non linear effect; Dynamic model; Bending vibration; Cutting force
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2012.05.032

In this paper, a tunable vibration absorber set (TVAs) is designed to suppress regenerative chatter in milling process (as a semi-active controller). An extended dynamic model of the peripheral milling with closed form expressions for the nonlinear cutting forces is presented. The extension part of the cutting tool is modeled as an Euler–Bernoulli beam with in plane lateral vibrations (x–y directions). Tunable vibration absorbers in x–y directions are composed of mass, spring and dashpot elements. In the presence of regenerative chatter, coupled dynamics of the system (including the beam and x–y absorbers) is described through nonlinear delay differential equations. Using an optimal algorithm, optimum values of the absorbers' position and their springs' stiffness in both x–y directions are determined such that the cutting tool vibration is minimized. Results are compared for both linear and nonlinear models. According to the results obtained, absorber set acts effectively in chatter suppression over a wide range of chatter frequencies. Stability limits are obtained and compared with two different approaches: a trial and error based algorithm and semi-discretization method. It is shown that in the case of self-excited vibrations, the optimum absorber improves the process stability. Therefore, larger values of depth of cut and consequently more material removal rate (MRR) can be achieved without moving to unstable conditions. ► Milling process as a continuous system with cutting force nonlinearity ► Optimum design of tunable vibration absorbers (TVAs) for chatter suppression ► Coupled dynamics of the system with nonlinear delay differential equations ► Applying the semi-discretization method for stability analysis ► Improvement in the stability lobes diagram after using the TVAs ►