有限元編程實現——共旋非線性殼單元
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共旋非線性單元的好處就是線性單元通過扣除剛體轉動的映射可以直接變成非線性單元,特別適用于處理大轉動小變形的幾何非線性問題。
參考文獻:
1、Felippa C A, Haugen B. A unified formulation of small-strain corotational finite elements: I. Theory[J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194(21-24): 2285-2335.
2、Sze K Y, Liu X H, Lo S H. Popular benchmark problems for geometric nonlinear analysis of shells[J]. Finite elements in analysis and design, 2004, 40(11): 1551-1569.
一些典型非線性算例的測試結果:
1、Cantilever Subjected to End Moment
2、Slit Annular Plate Subjected to Lifting Line Force
3、Hemispherical Shell subjected to Alternating Radial Forces
該案例實際對應ABAQUS官方案例的4.10.9
4、Pullout of an Open-Ended Cylindrical Shell
5、Pinched cylindrical shell mounted on rigid end diaphragms
6、Pinched semi-cylindrical shell
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