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Optimum arrangement of layers in multi-layer compound cylinders

Sharifi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1142/S1758825114500574
  3. Abstract:
  4. In this paper, using an analytical optimization method, optimum design of multi-layer compound cylinders with different materials in layers is investigated. For this purpose, considering Tresca criterion, maximum shear stress in each layer is minimized. At the optimum condition, the maximum shear stress at all layers occurs simultaneously. The general analytical relations for optimum dimension of layers, residual pressures and radial interferences are derived. The existence condition of the optimum solution is also investigated and the constraints for materials selection are derived too. It is shown that the allowable shear stress ratio of materials must be close to their geometric mean value. An optimization method is then presented to minimize different objective functions (weight, cost, etc.) by finding the optimum arrangement of layers. Several examples with different number of layers and different materials are presented to show the effectiveness of the proposed method. For compound cylinders with different materials, it is shown that the objective function is minimized when the materials that have higher cost values are used in inner layers. Moreover, it is shown that the shear stress distribution becomes near to uniform across the wall thickness when the number of layers is increased
  5. Keywords:
  6. Multi-layer compound cylinders ; Shear stress ; Analytical optimizations ; Analytical relations ; Existence conditions ; Geometric mean value ; Maximum shear stress ; Optimization method ; Optimum arrangement of layers ; Optimum designs ; Cylinders (shapes)
  7. Source: International Journal of Applied Mechanics ; Vol. 6, issue. 5 , 2014
  8. URL: http://www.worldscientific.com/doi/abs/10.1142/S1758825114500574