| 任意支承梁的差分离散系统及其刚度矩阵的振荡性 |
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| 引用本文： | 王其申,王大钧.任意支承梁的差分离散系统及其刚度矩阵的振荡性[J].应用数学和力学,2006,27(3):351-356. |
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| 作者姓名： | 王其申 王大钧 |
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| 作者单位： | 安庆师范学院 物理与电气工程学院,安徽安庆 246011;2.北京大学 湍流与复杂系统国家重点实验室,北京 100871;3.北京大学 力学与工程科学系,北京 100871 |
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| 摘 要： | 应用二阶中心差分公式，建立了任意支承的Euler梁的差分离散系统，导出了与之等效的弹簧-质点-刚杆模型．利用振荡矩阵理论，证明了上述系统的刚度矩阵的符号振荡性，完整的导出了正系统的充分必要条件．
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| 关 键 词： | Euler梁 差分离散系统 刚度矩阵 符号振荡性 |
| 文章编号： | 1000-0887（2006）03-0351-06 |
| 收稿时间： | 2004-03-26 |
| 修稿时间： | 2005-09-12 |
Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices |
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| WANG Qi-shen,WANG Da-jun.Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J].Applied Mathematics and Mechanics,2006,27(3):351-356. |
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| Authors: | WANG Qi-shen WANG Da-jun |
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| Institution: | Deptartment of Physics, Anqing Teachers College Anqing, Anqing, Anhui 246011, P. R. China; |
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| Abstract: | The difference discrete system of Euler beam with arbitrary supports was constructed by using the two order central difference formulas. This system is equivalent to the spring-mass pointrigid rod model. By using the theory about oscillatory matrix, the sign-oscillatory property of stiffiness matrices of this system was proved, and necessary and suffident condition for the system to be positive is obtained completely. |
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| Keywords: | Euler beam difference discrete system stiffness matrice sign-oscillatory property |
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