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中南大学学报(自然科学版)

Journal of Central South University

第36卷    第1期    总第161期    2005年2月

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文章编号:1672-7207(2005)01-0154-04
自由梁两端受阶跃载荷时的塑性动力响应完全解
董 军1, 2,刘旭红3,姚顺忠4

(1.北京建筑工程学院土木工程系,北京,100044;
2.中南大学地学与环境工程学院,湖南长沙,410083;
3.北京大学力学与工程科学系,北京,100871;
4.西南林学院交通机械与土木工程学院,云南昆明,650224
)

摘 要: 采用刚塑性模型分析自由梁在两端点受到集中阶跃载荷作用时的小变形动力响应,给出了不同载荷组合下梁的变形模式,构造了其动力响应完全解,并讨论了塑性耗散在输入结构的能量中所占的比例。与自由梁单点受强动荷载作用不同,梁的变形模式取决于两端点阶跃载荷的某组合函数的值。结果结果表明:只要存在塑性耗散,耗散的能量就占外载输入能量的1/3。

 

关键字: 阶跃载荷;塑性动力响应;变形模式;塑性耗散

Dynamic Behavior of a Rigid and Perfectly Plastic Free-freeBeam Subjected to Step-loading at Both Free Ends
DONG Jun1,2, LIU Xu-hong3, YAO Shun-zhong4

1. Department of Civil Engineering, Beijing Institute of Civil Engineering and Architecture, Beijing 100044, China;2. School of Geoscience and Environmental Engineering, Central South University, Changsha 410083, China;3. Department of Mechanics and Science, Peking University, Beijing 100871, China;4. College of Communication, Machinery and Civil Engineering, Southwest Forestry University, Kunming 650224, China

Abstract:Studies on plastic dynamic response of a free-free beam subjected to impulsive loads are a kind of key subjects in aeronautics fields. The small-deflection response of a free-free beam subjected to concentrated step-loading at both free ends is examined, and the material of the beam is assumed to be rigid and perfectly plastic. The deformation mechanisms under different combinations of the magnitudes of the two step-loadings are given and the complete solutions for the dynamic response are constructed, whose plastic dissipation is also discussed. Different from the previous analysis for free-free beam subjected to single point dynamic load, the deformation mechanisms here depend on the values of the combination function of the two step-loading. The results show that the plastic dissipation will be 1/3 of the input energy when plastic deformation occurs.

 

Key words: step-loading; dynamic plastic response; deformation mechanism; plastic dissipation

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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