Knowledge Resource Center for Ecological Environment in Arid Area
| 报告编号 | NASA-CR-165668 |
| 来源ID | NTRS_Document_ID: 19810013302 |
| Two-dimensional integrating matrices on rectangular grids. [solving differential equations associated with rotating structures] | |
| Lakin, W. D. | |
| 英文摘要 | The use of integrating matrices in solving differential equations associated with rotating beam configurations is examined. In vibration problems, by expressing the equations of motion of the beam in matrix notation, utilizing the integrating matrix as an operator, and applying the boundary conditions, the spatial dependence is removed from the governing partial differential equations and the resulting ordinary differential equations can be cast into standard eigenvalue form. Integrating matrices are derived based on two dimensional rectangular grids with arbitrary grid spacings allowed in one direction. The derivation of higher dimensional integrating matrices is the initial step in the generalization of the integrating matrix methodology to vibration and stability problems involving plates and shells. |
| 英文关键词 | COORDINATES DIFFERENTIAL EQUATIONS MATRICES (MATHEMATICS) PROBLEM SOLVING ROTATING BODIES BEAMS (SUPPORTS) SHELLS (STRUCTURAL FORMS) STRUCTURAL STABILITY STRUCTURAL VIBRATION TWO DIMENSIONAL BODIES |
| 出版年 | 1981 |
| 报告类型 | Technical Report |
| 语种 | 英语 |
| 国家 | 美国 |
| URL | http://hdl.handle.net/2060/19810013302 |
| 资源类型 | 科技报告 |
| 条目标识符 | http://119.78.100.177/qdio/handle/2XILL650/258865 |
| 推荐引用方式 GB/T 7714 | Lakin, W. D.. Two-dimensional integrating matrices on rectangular grids. [solving differential equations associated with rotating structures],1981. |
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