含3个分配点结构的弯矩分配公式法精确解  

MOMENT DISTRIBUTION FORMULA METHOD TO SEEK EXACT SOLUTION OF STRUCTURES WITH THREE DISTRIBUTION POINTS

作　　者：刘天一[1] 陈素文[1] 

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《力学与实践》2014年第2期207-209,206,共4页Mechanics in Engineering

摘　　要：为了提高弯矩分配法的计算速度和精度,将弯矩分配传递的过程视为多个等比数列的运算过程.在第一轮弯矩分配与传递结束后,可得出各个等比数列的首项和公比,并利用等比数列公式直接求和求得精确解.提出了含有3个分配点结构的弯矩分配公式法,在弯矩传递中采用双向传递,并通过等比数列公式求精确解.以结构、载荷均不对称的两跨刚架为例,将手算与电算结果进行比较,验证了该方法求解的精确性和实用性.In order to improve the calculation speed and precision for bending moment distribution method calculation, the process of bending moment distribution was transfered as sequences of geometric series. After the first round of the bending moment distribution and transfer, first item and common ratio of the sequences of geometric series can be found, and by using the geometric series formula, the exact solution can be got simply and accurately. This paper brought up the idea of using bi-direction transmission and geometric series to seek the exact solutions of structures which have three distribution points during the procedure of the bending moment distribution method. The accuracy and the practicality of the proposed method were verified by a computation example, which is a two-span asymmetric frame under asymmetric load. The solutions of both computer analysis and formula method computation were compared.

关 键 词：弯矩分配法 精确解 等比数列 双向传递 公式 

分 类 号：TU311.1[建筑科学—结构工程]