Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (10): 891-898.

• 论文 •    下一篇

THE SOLUTION OF DYNAMIC POINT-RING-COUPLE IN AN ELASTIC SPACE AND ITS PROPERTIES

云天铨, 顾赫宁   

  1. Department of Engineering Mechanics, South China University of Technology, Guangzhou
  • 收稿日期:1992-06-03 出版日期:1993-10-18 发布日期:1993-10-18
  • 基金资助:
    Project supported by Natural Science Foundation of Guangdong Province

THE SOLUTION OF DYNAMIC POINT-RING-COUPLE IN AN ELASTIC SPACE AND ITS PROPERTIES

Yun Tian-quan, Gu He-ning   

  1. Department of Engineering Mechanics, South China University of Technology, Guangzhou
  • Received:1992-06-03 Online:1993-10-18 Published:1993-10-18
  • Supported by:
    Project supported by Natural Science Foundation of Guangdong Province

摘要: The solution of dynamic Point-Ring-Couple at the origin, on z=0 plane, in an elastic space is presented and its properties are discussed. Let shocking loads be uniformly distributed, along the direction of circumference, at a circle, on z=0 plane, with radius a and centered at the origin. Then, the solution of our problem is obtained via integral calculation for a→0. When the intensity of this dynamic Point-Ring-Couple is varied with sincot, the cones in the elastic space with apex at the origin and the z-axis be its symmetric axis, become zero stressed surfaces at any time instance. The solution of dynamic torsion problem of revolution solids with these cones as boundary under the application of torque varied with sincot is found.

Abstract: The solution of dynamic Point-Ring-Couple at the origin, on z=0 plane, in an elastic space is presented and its properties are discussed. Let shocking loads be uniformly distributed, along the direction of circumference, at a circle, on z=0 plane, with radius a and centered at the origin. Then, the solution of our problem is obtained via integral calculation for a→0. When the intensity of this dynamic Point-Ring-Couple is varied with sincot, the cones in the elastic space with apex at the origin and the z-axis be its symmetric axis, become zero stressed surfaces at any time instance. The solution of dynamic torsion problem of revolution solids with these cones as boundary under the application of torque varied with sincot is found.

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