Analysis of a Cylindrical Shell Penetrated by Multiple Holes in a Triangular Pattern

摘要

The method presented here is based on the assumption that a set of 'equivalent' elastic constants can be developed for a perforated shell and that these 'equivalent' elastic constants can be used within the classical shell theory to obtain the average deflections and stresses in the perforated shell. The development of the 'equivalent' elastic constants is achieved by comparing the strain energy of an idealized typical element of the perforated shell under stress to a similarly stressed, isotropic, unperforated cylindrical shell element. In the idealization of the element for the perforated shell the beam ligaments and a central inner triangular portion are considered to simulate the total strain energy density. The procedure of including the additional central element is similar to that developed for the square pattern of penetrations in a plate. The final comparison of the two strain energy densities for the idealized element and the isotropic shell element is then performed in a manner similar to that developed by Horvay and Malkin for perforated plate elements. The 'equivalent' elastic constants so determined can then be used in the generalized cylindrical shell equations to obtain a final solution for the deflections and stresses. Author)