AUTOMATED OPTIMUM DESIGN OF MACHINE TOOL STRUCTURES FOR STATIC RIGIDITY, NATURAL FREQUENCIES AND REGENERATIVE CHATTER STABILITY.

C. P. Reddy, Singiresu S Rao

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number77 -WA/PROD-15
StatePublished - 1977
Externally publishedYes

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Machine tools
Rigidity
Natural frequencies
Milling machines
Mathematical programming
Optimum design

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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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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AB - 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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