Abstract
A prescribed distribution of residual radial displacements on the inside surface of a hollow cylinder is considered to be formed with the help of a mobile ring heat source. It is established that this goal can be achieved if the source velocity is variable and the source power is constant. The problem is subdivided into three subproblems. The dependence of the total displacement on the source velocity is determined in the first subproblem. The second subproblem is to determine a law for velocity control depending on the prescribed distribution of residual displacements. The third subproblem consists in homogenization of their end distributions. Approaches to the solution of each of these problems are developed
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Senchenkov, I.K., Tabieva, G.A. Residual Displacements in a Hollow Viscoplastic Cylinder Under rhe Action of a Mobile Thermal Source. International Applied Mechanics 37, 379–385 (2001). https://doi.org/10.1023/A:1011383931963
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DOI: https://doi.org/10.1023/A:1011383931963