Evaluation Based on Invariants for Discrete Error Motion of Prismatic Pair

doi:10.3901/JME.2018.23.001

Abstract

Abstract: A novel evaluation approach based on invariants is proposed to deal with the discrete error motion of the prismatic pair. The approach reflects the global property of the discrete error motion, which does not depend on the measurement coordinate system. The new 6D high-precision measurement instrument is used to investigate the six error terms. The evaluation model for directrix and spherical image curve is set up to study the geometry property of the moving body compared with the ideal one. The density of directrix error space and spherical envelope circle error surface are selected as the global evaluation indicators, while the minimal directrix error and the minimal spherical image curve error as the characteristic indicators. Three contrast tests are presented to illustrate the consistency and objectivity of the invariant indicators, which can evaluate the accuracy of the prismatic pair comprehensively and objectively.

Key words: error motion, invariant, prismatic pair, ruled surface

CLC Number:

TH112

WANG Delun, WU Yu, WANG Zhi, DONG Huimin. Evaluation Based on Invariants for Discrete Error Motion of Prismatic Pair[J]. Journal of Mechanical Engineering, 2018, 54(23): 1-9.

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