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 sinωt, 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 sin ωt is found.
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Yun Tian-quan, The solution of “Point-Circle-Couple” in an elastic space and its applications,J. Huazhong Inst. Tech.,2, 7 (1962), 86–101. (in Chinese)
Yun Tian-quan. An integral equation method for solving the torsion problem of rotating bodies,J. Huazhoung Inst. Tech., 3 (1979), 97–104. (in Chinese), (MR#81m: 73028).
Yun Tian-quan, Torsion of elastic shaft of revolution embedded in an elastic half space,Applied Mathematics and Mechanics (English Ed.),11, 6 (1990), 527–536.
Eringen A. C. and E. S. Suhubi,Elastodynamics, Academic Press, New York (1975).
Xie Yi-quan, Lin Zhong-xiang and Ding Hao-jiang,Elasticity, Zhejiang University Publishers (1988), 47. (in Chinese)
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Project supported by Natural Science Foundation of Guangdong Province
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Tian-quan, Y., He-ning, G. The solution of dynamic Point-Ring-Couple in an elastic space and its properties. Appl Math Mech 14, 891–898 (1993). https://doi.org/10.1007/BF02451703
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DOI: https://doi.org/10.1007/BF02451703