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Chatter

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Possible Answers:

undefined.

Last seen on: –Thomas Joseph – King Feature Syndicate Crossword – Mar 23 2023
NY Times Crossword 22 Jan 23, Sunday
Wall Street Journal Crossword – November 11 2022 – Shifty Schemers

Random information on the term “Chatter”:

Machining vibrations, also called chatter, are the relative movement between the workpiece and the cutting tool. The vibrations result in waves on the machined surface. This affects typical machining processes, such as turning, milling and drilling, and atypical machining processes, such as grinding.

A chatter mark is an irregular surface flaw left by a wheel that is out of true in grinding or regular mark left when turning a long piece on a lathe, due to machining vibrations.

As early as 1907, Frederick W. Taylor described machining vibrations as the most obscure and delicate of all the problems facing the machinist, an observation still true today, as shown in many publications on machining.

The explanation of the machine tool regenerative chatter was made by Tobias. S. A. and W. Fishwick in 1958, by modeling the feedback loop between the metal cutting process and the machine tool structure, and came with the stability lobes diagram. The structure stiffness, damping ratio and the machining process damping factor, are the main parameters that defines the limit where the machining process vibration is prone to enlarge with time.

Chatter on Wikipedia

Random information on the term “undefined”:

In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the propensity of assuming different values). The term can take on several different meanings depending on the context. For example:

In ancient times, geometers attempted to define every term. For example, Euclid defined a point as “that which has no part”. In modern times, mathematicians recognize that attempting to define every word inevitably leads to circular definitions, and therefore leave some terms (such as “point”) undefined (see primitive notion for more).

This more abstract approach allows for fruitful generalizations. In topology, a topological space may be defined as a set of points endowed with certain properties, but in the general setting, the nature of these “points” is left entirely undefined. Likewise, in category theory, a category consists of “objects” and “arrows”, which are again primitive, undefined terms. This allows such abstract mathematical theories to be applied to very diverse concrete situations.

undefined on Wikipedia

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