| 简支梁大挠度非线性振动中的突变和混沌 |
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| 引用本文： | 酆庆增.简支梁大挠度非线性振动中的突变和混沌[J].计算物理,1987,4(2):129-136. |
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| 作者姓名： | 酆庆增 |
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| 作者单位： | 北京大学, 力学系 |
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| 摘 要： | 本文研究由于大挠度引起的曲率非线性对简支梁振动的影响。用Галёркин法可导得一组非线性的积分一微分方程。计算表明,这一非线性系统具有尖点突变和混沌等有趣的动力学行为。
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| 收稿时间： | 1987-01-29 |
CATASTROPHE AND CHAOS IN NONLINEAR VIBRATIONS OF A BEAM SUPPORTED BY HINGE AND ROLL |
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| Feng Ching-zhen.CATASTROPHE AND CHAOS IN NONLINEAR VIBRATIONS OF A BEAM SUPPORTED BY HINGE AND ROLL[J].Chinese Journal of Computational Physics,1987,4(2):129-136. |
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| Authors: | Feng Ching-zhen |
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| Institution: | Department of Mechanics, Peking University |
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| Abstract: | We investigate the effect of nonlinear curvature on vibrations of an elastic simple supported beam and roller with large deflection.A set of nonlinear integro-differential.equations is derived by use of Galerkin approximation.Computations show that the system has interesting dynamical behaviors such as cusp catastrophe and chaos. |
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