5. Methods for studying the mechanical model
Mathematically, even the simple model presented above (equation (4) ) does not have an analytical solution. This is due to the term x(t - T ), which makes the differential equation non-linear.
In practice, there are two main methods for estimating the behavior of this equation: numerical time resolution and stability analysis.
5.1 Numerical time domain resolution
By discretizing in sufficiently small time steps, we can obtain an approximate numerical solution, which can then be used to model the machined surface. This is even...
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Methods for studying the mechanical model
Model generalizations
Bibliography
Digital media
Videos
Vibrations during thin-wall machining :
Machining vibrations during turning (continuous cutting) :
Vibrations during HSM machining...
Websites
Machining vibrations :
http://fr.wikipedia.org/wiki/Vibrations_d%27usinage
Machining thin walls :
http://fr.wikipedia.org/wiki/Usinage_de_paroi_mince
Vibraction (author's...
Software tools
Harmonizer :
CutPro and MachPro :
Production Module :
...Events
Industrie trade fairs (Paris or Lyon, alternately): new machining products are presented ( http://www.industrie-expo.com )
Conference proceedings
INTERCUT/MUGV/Manufacturing'21
Conferences that bring together industrialists and academics in a pragmatic way.
Standards and norms
- Cutting tool operating range – Tool-material pairing; The "pairing" method – tool – material" is presented, enabling you to methodically identify the most productive machining conditions for machining a given material with a given tool. The key idea is to measure the cutting forces at different speeds and engagements, and thus identify different operating regimes. - NF E66-520 - 1997, 1999, 2000
- Mechanical vibration...
Regulations
European Directive 89/392 (1989) and associated French decrees.
These regulations define acceptable noise limits and the actions to be taken to protect operators.
Patents
-
Tools with variable pitch, variable helix or special shapes to reduce vibration:
WO 2009124851, Sandvik, 2009, End mill with varying helix angles.
-
Tool holders with active damping :
EP1677932B1, TEENESS, 2008, Arrangement for damping of vibrations in a tool holder.
There...
Research laboratories (very short list)
Manufacturing Automation Laboratory, University of British Columbia, Vancouvert, Canada
IDEKO, IK4 Research Alliance, Elgoibar, Spain
Arts et Métiers ParisTech, Paris
LaBoMaP, Ensam, Cluny
École Centrale, Nantes
ENIT, Tarbes
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