| 求解非线性有限元方程的弧长法及在工程稳定分析中的应用 |
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| 引用本文： | 刘国明,卓家寿.求解非线性有限元方程的弧长法及在工程稳定分析中的应用[J].岩土力学,1993,14(4):57-67. |
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| 作者姓名： | 刘国明 卓家寿 |
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| 作者单位： | 河海大学 南京210024 |
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| 摘 要： | 本文讨论了求解非线性有限元方程弧长法的基本原理及具体实施,并应用于压杆及滑块的稳定性分析。由于弧长法具有确定并通过结构临界应力状态的临界荷载值,因此可以应用于工程稳定性分析。算例表明,弧长法确定的临界荷载值是令人满意的。
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| 关 键 词： | 弧长法 非线性 工程稳定 有限元 |
Arc Length Method for Solving Non-linear FEM Equations and Its Applications in Engineering Stability Analysis |
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| Liu Guoming Zhuo Jiashou Xia Songyou.Arc Length Method for Solving Non-linear FEM Equations and Its Applications in Engineering Stability Analysis[J].Rock and Soil Mechanics,1993,14(4):57-67. |
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| Authors: | Liu Guoming Zhuo Jiashou Xia Songyou |
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| Abstract: | Arc length method,an incremental method for solving non-linear FEM equations,is discussed and ap- plied in the paper.Since the method can be used to solve snapping and buckling problems,it is a powerful tool in determining the critical load in engineering stability analysis.The critical loads of a slipper and a slender column under axial compression are determined by the method and the results are satisfactory. |
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| Keywords: | arc length method geometrical nonlinearity critical load stability |
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