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| 自由梁两端受阶跃载荷时的塑性动力响应完全解 | |
| 引用本文： | 董军,刘旭红,姚顺忠.自由梁两端受阶跃载荷时的塑性动力响应完全解[J].中南大学学报(自然科学版),2005,36(1):154-157. |
| 作者姓名： | 董军 刘旭红 姚顺忠 |
| 作者单位： | 1. 北京建筑工程学院,土木工程系,北京,100044;中南大学,地学与环境工程学院,湖南,长沙,410083 2. 北京大学,力学与工程科学系,北京,100871 3. 西南林学院,交通机械与土木工程学院,云南,昆明,650224 |
| 基金项目： | 国家自然科学基金，北京建筑工程学院校科研和教改项目 |
| 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 词： | 阶跃载荷 塑性动力响应 变形模式 塑性耗散 |
| 文章编号： | 1672-7207(2005)01-0154-04 |
| 修稿时间： | 2004年6月15日 |
Dynamic Behavior of a Rigid and Perfectly Plastic Free-free Beam Subjected to Step-loading at Both Free Ends |
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| DONG Jun,LIU Xu-hong,YAO Shun-zhong.Dynamic Behavior of a Rigid and Perfectly Plastic Free-free Beam Subjected to Step-loading at Both Free Ends[J].Journal of Central South University:Science and Technology,2005,36(1):154-157. | |
| Authors: | DONG Jun LIU Xu-hong YAO Shun-zhong |
| 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. |
| Keywords: | step-loading dynamic plastic response deformation mechanism plastic dissipation |
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