| 轴向受力梁结构线弹性碰撞问题求解 |
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| 引用本文： | 黄志斌,罗旗帜.轴向受力梁结构线弹性碰撞问题求解[J].动力学与控制学报,2008,6(4):343-347. |
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| 作者姓名： | 黄志斌 罗旗帜 |
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| 作者单位： | 1. 广东工业大学,建设学院,广州,510006;佛山科学技术学院,土木工程与建筑系,佛山,528000
2. 佛山科学技术学院,土木工程与建筑系,佛山,528000 |
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| 摘 要： | 研究了质点对轴向受力的Euler-Bernoulli梁结构任意位置的横向撞击问题.把撞击体系简化为质量-弹簧体系模型,采用积分变换方法,对撞击体系的控制微分方程、边界条件和连续条件进行Laplace变换,在频域内求得其解析表达式,然后采用Crump逆变换方法进行数值反演,得到时域内的各种动力响应.数值算例给出了撞击力、弯曲应力和剪力随时间变化的曲线,通过与有限元比较验证了本方法的正确性.最后研究了撞击位置、轴向压力、撞击质量、撞击速度和柔度系数等参数对撞击力的影响,得出了一些有用的结论.
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| 关 键 词： | Euler-Bernoulli梁 撞击 轴力 任意撞击位置 Laplace变换 Crump法 |
| 收稿时间： | 2008/6/20 0:00:00 |
| 修稿时间： | 7/9/2008 12:00:00 AM |
Solutions of axially-loaded beams with linearly elastic impact |
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| Huang Zhibin and Luo Qizhi.Solutions of axially-loaded beams with linearly elastic impact[J].Journal of Dynamics and Control,2008,6(4):343-347. |
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| Authors: | Huang Zhibin and Luo Qizhi |
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| Affiliation: | 1.Faculty of Construction;Guangdong University of Technology;Guang zhou 510006;China;2.Department of Civil Engineering and Architecture;Foshan University;Foshan 528000;China |
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| Abstract: | The impact of axially-loaded Euler-Bernoulli beam with arbitrary impact position was investigated. The model of the impact system was simplified to a model of discrete concentrated masses linked with elastic elements. Firstly,based on the theory of integral transform,the differential equation of the collision system,the boundary conditions and the continuity conditions were transformed with Laplace transformation. Then,the analytical solution of the stress wave in frequency domain was obtained.The numerical... |
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| Keywords: | Euler-Bernoulli beam impact axially-loaded arbitrary impact position Laplace transformation Crump method |
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