三向类网架结构弯曲和振动分析的分解刚度法

把三向类网架结构简化为夹层板,采用考虑剪切变形的具有三个广义位移的平板弯曲理论进行分析。基于分解刚度思想提出了三向类网架(三角锥网架、三向网架)静力分析和固有振动分析的方法,给出了简便实用的计算公式。通过有限元法的验证,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%。可以应用于工程结构设计,便于快速得出网架结构挠度和内力的计算结果及分布规律。此外,与其它的计算方法相比其计算公式大大简化了。

SPLIT RIGIDITY METHOD FOR BENDING AND VIBRATION ANALYSIS OF THREE-WAY PLATE-LIKE SPACE TRUSS

Three-way plate-like space trusses are simplified as sandwich plate, and are analyzed by the nontraditional theory of plates with consideration of shear deformation and three generalized displacements. Static analysis and natural vibration analysis of three-way plate-like space trusses has been studied based upon the idea of split rigidity. The calculating formulas for internal forces, displacements, and fundamental frequency are presented. The validation by finite element method shows that as a simplified method, split rigidity method is very accurate, whose error is less than 5 percent in general. It can be used in the preliminary design of engineering structures so that the internal forces and displacements of the space truss and their distributions can be obtained rapidly. Furthermore, its formula is more simplified and compact compared with other method.