周光平,万贤铭,张维,晏荣明.复合棒弯曲振动的矩阵解法[J].声学技术,1996,(3):131~134 |
复合棒弯曲振动的矩阵解法 |
Matrix method for analysing flexural vibration of composite bar |
投稿时间:1995-10-19 修订日期:1995-12-11 |
DOI: |
中文关键词: 弯曲振动 振动系统 矩阵方法 |
英文关键词: lexural vibration vibrating system matrix method |
基金项目:江西省自然科学基金 |
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中文摘要: |
按组成材料和横截面大小的不同,把复合棒分成若干单元,每单元两端的位移、截面转角、弯矩以及剪力间的关系用矩阵表示,各单元矩阵相乘即得到复合棒总的矩阵,最后由此求解复合棒的共振条件,以及两端振速比,还给出了应用例。 |
英文摘要: |
A composite bar is divided into several elements in terms of their materials or cross-section areas. The relation between displacement、flexural angle、moment and shear stress of the two end surfaces of each element is expressed by using a matrix. For a composite bar, the relation ship can be expressed by a general matrix, which is the multiplication of matrixes of elements. From the general matrix, the resonant frequency and velocity gain can be calculated. The application of this method is also illustrated in this paper. |
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