外伸梁差分离散系统刚度矩阵的符号振荡性及其定性性质

王其申 王大钧;吴磊 刘全金 章礼华

振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 113-117.

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PDF(294 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 113-117.
论文

外伸梁差分离散系统刚度矩阵的符号振荡性及其定性性质

  • 王其申1 王大钧2,3 吴磊1 刘全金1 章礼华1
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SIGN-OSCILLATING PROPERTY OF STIFFNESS MATRIX OF DIFFERENCE DISCRETE SYSTEM AND QUALITATIVE PROPERTIES OF BEAM WITH OVERHANG

  • Wang Qi-shen1 Wang Da-jun2,3 Wu Lei1
    Liu Quan-jin 1 Zhang Li-hua 1
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文章历史 +

摘要

本文首先建立了外伸梁的差分离散模型,导出了外伸梁离散系统的刚度矩阵。接着对两跨外伸梁证明了其刚度矩阵的符号振荡性,进而证明了三跨外伸梁刚度矩阵的符号振荡性。在此基础上阐明了外伸梁的频率和模态的基本振荡特性。

Abstract

In this paper the difference discrete models of the beam with overhang are established, the stiffness matrices of above discrete system are determined and their sign-oscillating property are proved. On the basis of it, some qualitative properties of the frequencies and modes of the discrete system of the beam with overhang are obtained.

关键词

外伸梁 / 刚度矩阵 / 符号振荡性 / 定性性质

Key words

Beam with overhang / Stiffness matrix / Sign-Oscillating property / Qualitative properties

引用本文

导出引用
王其申 王大钧;吴磊 刘全金 章礼华. 外伸梁差分离散系统刚度矩阵的符号振荡性及其定性性质[J]. 振动与冲击, 2009, 28(6): 113-117
Wang Qi-shen Wang Da-jun; Wu Lei Liu Quan-jin Zhang Li-hua . SIGN-OSCILLATING PROPERTY OF STIFFNESS MATRIX OF DIFFERENCE DISCRETE SYSTEM AND QUALITATIVE PROPERTIES OF BEAM WITH OVERHANG[J]. Journal of Vibration and Shock, 2009, 28(6): 113-117
中图分类号: O327    O241.3    O151.21   

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