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| 匀质三角形板和边框的转动惯量 | |
| 引用本文： | 邱为钢. 匀质三角形板和边框的转动惯量[J]. 物理与工程, 2014, 0(3): 29-30,41 |
| 作者姓名： | 邱为钢 |
| 作者单位： | 湖州师范学院理学院; |
| 基金项目： | 国家自然科学基金(11275067);浙江省高等学校创新团队(T200924);湖州师范学院精品课程“大学物理”;湖州师范学院首届中青年教师卓越教学能力培养计划 |
| 摘 要： | 质量均匀分布的物体相对质心轴的转动惯量，通常是由它的几何量表示，这称为转动惯量的几何表示．如果给定物体的顶点坐标，它相对任意轴的转动惯量可以由这些顶点坐标表示，这称为转动惯量的代数表示．由转动惯量的平行轴定理，得到杆和三角形板相对任意转轴转动惯量的代数表示．作为简单应用，得到三角形边框相对质心轴转动惯量的几何量表示． |
| 关 键 词： | 转动惯量 任意转轴 三角形 |
ROTATION INERTIA OF UNIFORM MASS DISTRIBUTED TRIANGULAR PLATE AND FRAME |
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| Qiu Weigang. ROTATION INERTIA OF UNIFORM MASS DISTRIBUTED TRIANGULAR PLATE AND FRAME[J]. Physics and Engineering, 2014, 0(3): 29-30,41 | |
| Authors: | Qiu Weigang |
| Affiliation: | Qiu Weigang (School of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000) |
| Abstract: | The rotation inertia of a uniform distributed mass object about center of mass axis is often expressed in term of its geometric quantities, which is called as geometric representation of rotation inertia. If all of the vertex coordinates are known, the rotation inertia about arbitrary axis can be expressed in term of these vertex coordinates, which is called as algebra representation of rotation inertia. The algebra representation of rotation inertia of rod and triangular plate about arbitrary rotating axis are derived from the parallel axis theorem. As a simple application, the geometric representation of rotation inertia of triangular frame about center-of-mass axis is obtained. |
| Keywords: | rotation inertia arbitrary rotating axis triangle |
| 本文献已被 CNKI 维普 等数据库收录！ | |