期刊
COMPOSITE STRUCTURES
卷 94, 期 8, 页码 2610-2619出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2012.02.030
关键词
Limit-based approach; Generalization of L'Hopital's Rule; Pure bending cylinders; Cylindrical orthotropy; Stress analysis
资金
- National Science and Engineering Research Council of Canada
- National Natural Science Foundation of China [10972188]
- Fundamental Research Funds for the Central Universities of China [2010121073]
- Scientific Program of Fujian Province of China [2007F3096]
Composite cylinders are used in many engineering applications. Solution for a single orthotropic cylinder subjected to bending load was provided by Lekhnitskii [1]. Solution for composite cylinders made of many layers subjected to pure bending has been provided by Jolicoeur and Cardou [4]. However these methods do not provide systematic solution for the cases where the layers are oriented at 0 degrees or 90 degrees with respect to the cylinder axis. The reason is that the number of available equations is fewer than the unknowns due to the fact that some of the equations simplify down to identities. Thus the unique solution cannot be obtained. In order to overcome this problem, a limit-based approach is presented in this paper, where the limit to the cylindrical orthotropy is considered, and by using the Taylor series of expansion, the equations replacing the identically satisfied ones are derived. It is also found that this method is a generalization of the L'Hopital's Rule to the case of multi-unknowns with multi-equations, some of which are identically satisfied. In the numerical examples, the results by the proposed approach are compared with those obtained from NASTRAN. It is found that they are in good agreement to each other. (c) 2012 Elsevier Ltd. All rights reserved.
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