外伸梁离散系统模态的若干定性性质; SOME QUALITATIVE PROPERTIES OF MODESOF DISCRETE SYSTEM OF BEAM WITH OVERHANG | |
王其申 ; 章礼华 ; 王大钧 | |
刊名 | 力学学报
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2012 | |
关键词 | 外伸梁 共轭系统 弯矩 转角和剪力振型 定性性质 beam with overhang conjugated system flexural moment modes rotation modes and shearing force modes qualitative properties |
英文摘要 | 在已证明外伸梁的差分离散模型频率和位移振型基本振荡性质的基础上,首先揭示了两跨外伸梁的共轭系统是一端铰支一端固定并有一个中间铰的两跨连续梁,证明了两跨外伸梁的共轭梁的刚度矩阵是符号振荡矩阵,进而确定了外伸梁的弯矩振型的符号改变数;由此进一步讨论了它的转角振型和剪力振型的符号改变数规律以及位移振型的其他一些定性性质.; Base on the basic oscillating properties of the frequencies and the displacement modes in the discrete system of the beam with overhang, it is proved that the stiffness matrices of conjugated system of a two-span beam with one cantilever is to be sign-oscillated. Then, the sign interchanges number of the flexural moment modes of a beam with one cantilever are determined. Furthermore, some qualitative propertiesof its displacement modes, rotation modes, moment modes and shearing force mode are given. The basic oscillating properties about two-span and three-span continuous beams having middle pinned are obtained practically in this paper as well.; 国家自然科学基金资助项目; 中文核心期刊要目总览(PKU); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; 6; 1071-1074; 44 |
语种 | 中文 |
内容类型 | 期刊论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/256774] ![]() |
专题 | 工学院 |
推荐引用方式 GB/T 7714 | 王其申,章礼华,王大钧. 外伸梁离散系统模态的若干定性性质, SOME QUALITATIVE PROPERTIES OF MODESOF DISCRETE SYSTEM OF BEAM WITH OVERHANG[J]. 力学学报,2012. |
APA | 王其申,章礼华,&王大钧.(2012).外伸梁离散系统模态的若干定性性质.力学学报. |
MLA | 王其申,et al."外伸梁离散系统模态的若干定性性质".力学学报 (2012). |
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