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題 名 | Deriving the Higher Order Stiffness Matrix of a Space Frame Element |
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作 者 | 張健財; | 書刊名 | 萬能學報 |
卷 期 | 25 2003.08[民92.08] |
頁 次 | 頁183-200 |
分類號 | 440.15 |
關鍵詞 | Higher order stiffness matrix; Rigid body rule; Geometric stiffness matrix; Generalized displacement control method; |
語 文 | 英文(English) |
英文摘要 | A physical concept, the rigid body rule, is applied for the derivation of higher order stiffness matrix of a space frame element. The derivation has a physical meaning that is the higher order stiffness matrix can be derived by regarding there is a set of incremental nodal forces existing on the element, then the element undergoes a small rigid body rotation. The incremental forces should keep their magnitude and follow the rigid body motions. Then taking advantage of the existing geometric stiffness matrix derived by researchers (Yang and Kuo 1994), the higher higher-order stiffness matrices can be analogy derived without any difficulty. The derived higher order stiffness matrix has explicit expressions. It can be used at the forces recovery stage in the geometric nonlinear analysis of frame structures. Meanwhile an effective numerical method, the General Displacement Control (GDC) method, developed by Yang and Shieh (1990) was adopted to trace the load-defections path of the structures. Some numerical examples were tested by the proposed higher order stiffness matrix in the study. |
本系統中英文摘要資訊取自各篇刊載內容。