• 应用研究 •

### 一种正交各向异性板的等效各向同性板计算法

1. 中冶集团建筑研究总院
• 收稿日期:2007-10-26 修回日期:2007-12-20 出版日期:2009-02-08 发布日期:2009-02-08

### ANALYSIS METHOD OF A KIND OF ORTHOTROPIC PLATES BY EQUIVALENT ISOTROPIC PLATES

• Received:2007-10-26 Revised:2007-12-20 Online:2009-02-08 Published:2009-02-08

Abstract: The effective torsional rigidity is equal to the geometric mean of two principal bending rigidities, as is characteristic of the orthotropic plates with smooth up and down surfaces. According to that characteristic and based on the differential equation of the deformed surface of the orthotropic plate, with one principal direction size fixed, changing another principal direction size linearly, maintaining elasticity coefficient the same as in the first principal direction and Poisson ratio equal to the geometric mean of two principal Poisson ratios, the original orthogonal plate is equivalent to an isotropic plate. Results obtained show that the deflections of the equivalent isotropic plate are the same as the deflections of the original orthotropic plate at the corresponding points, the forces of the correspondent points have simple relations. The method of the paper will be easy to use for engineers and technicians.