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題名 | Integral Equation Approach to Composite Laminate Analysis=複材積層板積分方程式分析法 |
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作者 | Davi,Giuseppe; Milazzo,Alberto; | 書刊名 | 中國工程學刊 |
卷期 | 22:6 1999.11[民88.11] |
頁次 | 頁695-708 |
分類號 | 440.34 |
關鍵詞 | 邊界積分方程式; 複材積層板; Boundary integral equations; Composite laminates; |
語文 | 英文(English) |
中文摘要 | 本文提出以積分方程式為基礎的方法,來決定複材積層板在承受軸力、彎矩、剪 力╱彎矩、扭矩時的彈性反應。這個行為的積分方程式是直接從互易定理推出,此互易定理 是由梁形結構物廣義平面應變的異向性問題之基本解而來。在考慮位移與應力沿界面的連續 性與外圍邊界條件後,可以用多領域邊界元素法以數值方法解出。所得線性代數式的分解系 統可以提供以複材積層板中每一層邊界上的位移與曳引力來表示問題的解。一旦邊界的彈性 反應可以確定,複材積層板中任一點的位移與應力就可以用適當的邊界積分表示式來加以計 算。根據點適用的推導公式,可以推廣到斷面外形與不同組織的情形。我們提出一些應用以 驗證此法的正確性與有效性。 |
英文摘要 | A comprehensive integral equation based approach is presented to determine the elastic response of composite laminates under axial, bending, shear/bending and torsional loadings. The integral equations governing the laminate behavior are directly deduced from the reciprocity theorem for beam-type structures by employing the fundamental solution of generalized plain strian anisotropic problems. Taking into account the displacement and stress continuity along the interfaces and the external boundary conditions the formulation is numerically solved by the multidomain boundary element method. The resolving system of linear algebraic equations is solved to provide the solution of the problem in terms of displacements and tractions on the boundary of each ply within the laminate. Once this boundary elastic response is determined the displacements and stresses at any point of the laminate can be computed using the appropriate boundary integral representations. The approach based on a pointwise formulation, makes it possible to analyze laminates with the widest generalities as regars the section shape and lay-up. Some applications are presented in order to demonstrate the accuracy and effectiveness of the method proposed. |
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