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Eddy current analogy of torsion problem

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Abstract

In as paper, an eddy current analogy and a brief sketch of required equipment are presented. Values of torsional rigidity and shearing stresses of a prismatic bar under free torsion can be obtained experimentally to a high degree of accuracy in an instant with this equipment whether the cross-section is bounded by a single boundary or multi-comnected boundaries. The error is les than two per cent generally, as shown in Table 3. This new analogy can be used extensively to solve various physical problems expressed by Poisson's (or Laplace's) equation with constant boundary condition.

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References

  1. Chien Wei-zang, Lin Mong-sun, Hu Hai-chang and Yeh Kai-yuan,Torsion Theory for Prismatic Elastic Bars. Science Publishing House (1956). (in Chinese)

  2. Chien Wei-zang and Yeh Kai-yuan.Theory of Elasticity, Science Publishing House (1980). (in Chinese)

  3. Jing Guang-sheng,Theory of Elasticity, Zhenjiang Institute of Agricultural Machinery. (in Chinese)

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  7. Kemmer, N.,Vector Analysis, Cambridge University Press (1977).

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Communicated by Chien Wei-zang

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Zhen-min, W., Ke-xue, Z. Eddy current analogy of torsion problem. Appl Math Mech 7, 595–608 (1986). https://doi.org/10.1007/BF01899558

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  • DOI: https://doi.org/10.1007/BF01899558

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