动态环板元的动刚度矩阵
The Dynamic Stiffness Matrix of the Finite Annular Plate Element
-
摘要: 本文对于环形薄板单元取包含贝塞尔函数的谐振变形作为形状函数,解决了关于特殊函数的复杂积分问题.从而精确推导了环形单元的动刚度矩阵,并用直接刚度法进行了校核.接着,又着重于将封闭形式的动刚度矩阵,按频率平方的升幂式展开,得到了简洁完备的结果,以此作为结构动力特性分析和响应计算的基础.Abstract: The dynamic deformation of harmonic vibration is used as the shape functions of the finite annular plate element, and sonic integration difficulties related to the Bessel's functions are solved in this paper. Then the dynamic stiffness matrix of the finite annular plate element is established in closed form and checked by the direct stiffness method. The paper has given wide convcrage for decomposing the dynamic matrix into the power series of frequency square. By utilizing the axial symmetry of annular elements, the modes with different numbers of nodal diameters at s separately treated. Thus some terse and complete results are obtained as the foundation of structural characteristic analysis and dynamic response compulation.
-
[1] 恽伟君等,《振动与冲击手册》,第1卷,国防工业出版社(1988),174-177. [2] 张益松、高德平、伊立言,旋转圆盘振动的动态有限元法,南京航空学院学报,2(1989),18-30. [3] 杨弗康,《结构动力学》,人民交通出版社1987),324-337. [4] 林佳镶,张阿舟,具有轴向力的连续质量梁元素,南京航空学院学报,2 (1984)1-8 [5] Borri,M.and P.Mantegazza,Efficient solution of quadratic eigen problem arising in dynamic analysis of structures,Comput.Meth.Appl.Meth.Eng.,1(1977),19-31. [6] 王连祥、方德植等,《数学手册》,人民教育出版社(1979),627-639. -
点击查看大图
计量
- 文章访问数: 1849
- HTML全文浏览量: 116
- PDF下载量: 474
- 被引次数: 0
下载:
