分解刚度法在矩形网架结构弯曲和振动分析中的应用

把矩形网架结构(正放类网架、三向类网架)简化为夹层板，采用考虑剪切变形的具有3个广义位移的平板弯曲理论进行分析。利用分解刚度法对5类网架(正放四角锥网架、两向正交正放网架、正放抽空四角锥网架、三角锥网架和三向网架)进行了静力分析和固有振动分析，给出了简便实用的计算公式。通过与有限元法分析结果的对比，表明了分解刚度法作为一种简化的计算方法，其精度是比较高的，绝大多数的误差都小于5％，是可以应用于工程结构设计的一种有效方法。此外，与其它的简化计算方法相比它的精度比较高而且计算过程大大简化了。

The Application of Split Rigidity Method to Bending and Vibration Analysis of Double-layer Space Grids with Rectangular Shape

In this paper double-layer space grids (DLSG) with rectangle plane were ass umed as sandwich plate, and were analyzed by the theory of plate with considerat ion of shear deformation and three generalized displacements. The static analysi s and free vibration analysis of five kinds of double-layer space grids were stu died by split rigidity method. The calculating formulas for internal forces, dis placements and fundamental frequency of double-layer space grids were given out. The comparison with the results of finite element method shows that as a simpli fied method, split rigidity method is very accurate; whose error is less than 5 percent in general. It also indicates that split rigidity method can be used in the design of engineering structure. Furthermore, compared with other simplified method, its precision is more accurate and its calculation is more simplified.