| 惯性矩转轴公式的几何法研究 |
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| 引用本文： | 陈合龙,邱战洪.惯性矩转轴公式的几何法研究[J].台州学院学报,2010,32(3). |
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| 作者姓名： | 陈合龙 邱战洪 |
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| 作者单位： | 台州学院,建筑工程学院,浙江,台州,318000 |
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| 摘 要： | 截面的惯性矩(积)是重要的截面参数,是进行工程构件设计的依据。惯性矩(积)转轴公式常用于计算当坐标轴发生旋转时截面的惯性矩(积)、计算主惯性矩,是材料力学的重要知识点。但转轴公式并没有指出最大主惯性矩和最小主惯性矩对应的轴的位置。定义了广义惯性积,重新研究了转轴公式,得出更为直观的转轴公式的惯性矩圆表示方法,该方法简单、概念明确,不失为转轴公式的重要补充。
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| 关 键 词： | 惯性矩 广义惯性积 转轴公式 惯性矩圆 |
Research on Transformation Equations of Moments and Products of inertia with Geometry |
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| CHEN He-long,QIU Zhan-hong.Research on Transformation Equations of Moments and Products of inertia with Geometry[J].Journal of Taizhou University,2010,32(3). |
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| Authors: | CHEN He-long QIU Zhan-hong |
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| Institution: | CHEN He-long; QIU Zhan-hong(School of Architectural Engineering Taizhou University; Taizhou 318000; China); |
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| Abstract: | The moments and products of inertia of a plane area are important parameters for section and the section designing basis.The transformation equations of moments and product are used to determine the new values of the moments and products of inertia and the Principal axis of inertia when the axises are rotated,but the maximum and minimum principal axis of inertia are not definite.This article defines the generalized products of inertia and derives a new type of transformation equations,and it appears that Us... |
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| Keywords: | moments of inertia generalized products of inertia transformation equations circle of moments of inertia |
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