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  

Sign-oscillating property of stiffness matrix of difference discrete system and qualitative properties of beam with overhang

作　　者：王其申[1] 王大钧[2,3] 吴磊[1] 刘全金[1] 章礼华[1] 

机构地区：[1]安庆师范学院物理与电气工程学院,安庆246011 [2]北京大学湍流与复杂系统国家重点实验室 [3]北京大学工学院力学与空天技术系,北京100871

出　　处：《振动与冲击》2009年第6期113-117,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(10772001)

摘　　要：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。The difference discrete model of the beam with overhang was established, the stiffness matrix of the above system was determined and its sign-oscillating property was proved. On this basis, some qualitative properties of frequencies and modes of the discrete system of the beam with overhang were obtained.

关 键 词：外伸梁 刚度矩阵 符号振荡性 定性性质 

分 类 号：O327[理学—一般力学与力学基础] O241.3[理学—力学]