| 含弹簧-质量系统的多段杆的撞击响应 |
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| 引用本文： | 鲍四元,邓子辰.含弹簧-质量系统的多段杆的撞击响应[J].航空学报,2008,29(5):1174-1179. |
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| 作者姓名： | 鲍四元 邓子辰 |
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| 作者单位： | 1. 西北工业大学,工程力学系,陕西,西安,710072;苏州科技学院,土木工程系,江苏,苏州,215011
2. 西北工业大学,工程力学系,陕西,西安,710072;大连理工大学,工业装备结构分析国家重点实验室,辽宁,大连,116023 |
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| 基金项目： | 国家自然科学基金，国家111引智计划，教育部新世纪优秀人才计划，陕西省自然科学基金，大连理工大学工业装备结构分析国家重点实验室开放基金 |
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| 摘 要： | 杆截面形状和质量以某些特定函数（如多项式函数、指数函数及三角函数等）变化时，给出了其弹性撞击问题的闭合解。使用直接模态叠加法（DMSM）研究了不等截面杆及含附加弹簧 质量系统杆的弹性撞击问题。把撞击物和被撞击物作为一个整体系统振动，从而把撞击问题转化为振动问题。基于各段杆上纵向位移的闭合解，得到撞击系统的频率方程、广义质量，并由Duhamel积分得到动力响应。与常规有限元法比较，所提方法能够减少划分单元的总数和CPU运行时间。算例验证了本文方法的有效性。
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| 关 键 词： | 多段杆 含弹簧-质量系统杆 撞击 动力响应 直接模态叠加法 |
Impact Response of Multi-step Rods with Lumped Masses and Spring Supports |
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| Bao Siyuan,Deng Zichen.Impact Response of Multi-step Rods with Lumped Masses and Spring Supports[J].Acta Aeronautica et Astronautica Sinica,2008,29(5):1174-1179. |
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| Authors: | Bao Siyuan Deng Zichen |
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| Institution: | Bao Siyuan1,2,Deng Zichen1,3(1.Department of Engineering Mechanics,Northwestern Polytechnical University,Xi\'an 710072,China)(2.Department of Civil Engineering,Suzhou University of Science , Technology,Suzhou 215011,China)(3.State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University ofTechnology,Dalian 116023,China) |
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| Abstract: | When a rod's shape and mass vary with certain functions such as polynomial, exponential and trig functions, the closed form solutions for the elastic impact problems are presented.(This article presents the closed form solutions for the elastic impact problems when a rod's shape and mass vary. with such functions as polynomial, exponential and trig functions.) Using direct mode superposition method (DMSM), the impact problems of non-uniform rods and structures with lumped masses and spring supports are disc... |
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| Keywords: | multi-step rod rod with lumped masses and spring supports impact dynamic response direct mode superposition method |
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