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題名 | Hygrothermoelastic Analysis of Multilayered Cylindrical Shells=圓柱層殼受溫濕作用之應力分析 |
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作者姓名(中文) | 譚建國; | 書刊名 | 力學 |
卷期 | 12:1 1996.03[民85.03] |
頁次 | 頁131-141 |
分類號 | 440.135 |
關鍵詞 | 漸進分析; 圓柱層殼; 溫濕效應; Asymptotic analysis; Laminated cylindrical shell; Hygrothermal effects; |
語文 | 英文(English) |
中文摘要 | 本文提出在溫度與濕氣變化影響下,圓柱層殼之漸近解析方法。理論中,將多層 殼視為沿厚度方向為非均質之異向性殼,如此,可避免一般逐層解析之繁雜方法。我們將三 維彈性力學方程式重組與無因次化後,發現此類問題得以漸近展開與逐次積分解析,近而推 知古典層殼理論,係三維理論之首階近似,而高階修正量亦可藉解析古典層殼方程式,有條 理地求得。本理論無需特別處理層殼內介面之連續條件,即可準確地求得層間應力。本文最 後以範例展示如何以漸近解析決定問題之解析解。 |
英文摘要 | An asymptotic analysis for multilayered cylindrical shells subjected to temperature and moisture changes is presented. The multilayered shell is viewed as an anisotropic heterogeneous shell with material properties varying through the thickness so that there is no need to consider the laminated system layer by layer or to treat the interfacial continuity conditions in particular. After reformulation and non-dimensionalization of the three-dimensional equations of hygrothermoelasticity, it is shown that the problem can be analyzed by means of asymptotic expansions and successive integration. The classical laminated shell theory (CST) arises naturally as the leading-order approximation to the three-dimensional theory. Higher-order modifications are obtained by solving the CST equations in a consistent and hierarchic way. The theory is capable of determining the interior solution of the problem and yielding accurate interlaminar stresses. Analytic solutions for illustrative examples are obtained in a simple way. |
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