Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (3): 1325-1332.

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THE EXISTENCE AND UNIQUENESS OF THE SCREW TENSOR FOR THE FINITE DISPLACEMENT OF A RIGIDBODY

Yu xin   

  1. South China Institute of Technology
  • Received:1983-06-04 Online:1984-05-18 Published:1984-05-18

Abstract: The existence and uniqueness theorem of the screw tensor for the finite displacement of a rigidbody is proposed and then proved using the screw calculus. As a conseguence, formulae are obtained for determining the screw tensor in terms of the finite displacement data of the rigidbody.

Key words: turbine cascade, tip clearance, curving cascade, transverse section flow field, topological flow pattern and vortex structure

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