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2009•Journal of Heilongjiang Institute of Science and TechnologyRequires access

Mathematical model of cantilever type crystal CMM

Shang Ping

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Abstract

In order to enhance the measurement precision of the cantilever type CMM,this paper introduces the quasi-rigid body mathematical model developed by analyzing every errors sources and depending on the theory of homogeneous coordinate and offers geometric errors model specially designed to compensate for the 21 geometric errors with a greater impact on measuring accuracy.The improvement in the overall precision of the CMM goes without increasing manufacturing costs.This mathematical model provides a theoretical basis for the error compensation technique of cantilever type CMM.

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What this paper is about

In order to enhance the measurement precision of the cantilever type CMM,this paper introduces the quasi-rigid body mathematical model developed by analyzing every errors sources and depending on the theory of homogeneous coordinate and offers geometric errors model specially designed to compensate for the 21 geometric errors with a greater impact on measuring accuracy.The improvement in the overall precision of the CMM goes without increasing manufacturing costs.This mathematical model provides a theoretical basis for the error compensation technique of cantilever type CMM.

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Available abstract

In order to enhance the measurement precision of the cantilever type CMM,this paper introduces the quasi-rigid body mathematical model developed by analyzing every errors sources and depending on the theory of homogeneous coordinate and offers geometric errors model specially designed to compensate for the 21 geometric errors with a greater impact on measuring accuracy.The improvement in the overall precision of the CMM goes without increasing manufacturing costs.This mathematical model provides a theoretical basis for the error compensation technique of cantilever type CMM.

Key concepts: Cantilever, Compensation (psychology), Coordinate-measuring machine, Type (biology), Basis (linear algebra), Homogeneous, Coordinate system, Observational error

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