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Automated Optimum Design of Machine Tool Structures for Static Rigidity, Natural Frequencies and Regenerative Chatter Stability

C.P. Reddy, Shyam S Rao

Abstract

A computational capability for the automated optimum design of complex machine tool structures to satisfy static rigidity, natural frequency and regenerative chatter stability requirements is developed in the present work. More specifically, the mathematical programming techniques are applied to find the minimum-weight design of Warren-type lathe bed and horizontal knee-type milling machine structures using finite-element idealization. The Warren-type lathe bed is optimized to satisfy torsional rigidity and natural frequency requirements, whereas, the milling machine structure is optimized with constraints on static rigidity of the cutter centre, natural frequency and regenerative chatter stability.

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Key concepts: Rigidity (electromagnetism), Natural frequency, Machine tool, Structural rigidity, Finite element method, Engineering, Structural engineering, Stability (learning theory)