Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (2): 159-165.

• Articles • 上一篇    下一篇

THE FINITE ROTATION PARAMETER OF A DEFORMAELE BODY AND GYROMAGNETIC EFFECT

陈至达   

  1. China Institute of Mining Technology
  • 收稿日期:1991-07-01 出版日期:1983-03-18 发布日期:1983-03-18

THE FINITE ROTATION PARAMETER OF A DEFORMAELE BODY AND GYROMAGNETIC EFFECT

Chen Zhi-da   

  1. China Institute of Mining Technology
  • Received:1991-07-01 Online:1983-03-18 Published:1983-03-18

摘要: The derivation of Synge for the finite rotation formula in terms of Euler parameter is put into tensor form.Hence a further clarification of the geometric meaning of the orthogonal transformation obtained in the author’s paper[7] is made. The tensor properties of rotation axis vector are also discussed. By means of the method of co-moving coordinate system established in[8],[9], we explain the gyromagnetic effect,and derive a simple formula for calculating body couple which is induced by magnetization.

关键词: partially saturated soil subgrade, rigid foundation, dynamic compliance coefficient

Abstract: The derivation of Synge for the finite rotation formula in terms of Euler parameter is put into tensor form.Hence a further clarification of the geometric meaning of the orthogonal transformation obtained in the author’s paper[7] is made. The tensor properties of rotation axis vector are also discussed. By means of the method of co-moving coordinate system established in[8],[9], we explain the gyromagnetic effect,and derive a simple formula for calculating body couple which is induced by magnetization.

Key words: partially saturated soil subgrade, rigid foundation, dynamic compliance coefficient

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