Abstract: Based on the principle of minimum potential and using Rayleigh-Ritz method, the geometric non-linear analysis of higher bridge piers wes solved in this paper. The new concept of equivalent horizontal force proposed by the author may be easily to calculate the second effect, which wes produced due to the vertical forces and resisted by the piers and rubber pad bearings incorporately. The simple formula in this paper are applicable to calculate by hand, understood clearly without computation of successive iteration, higher precision and graspable easily for the disigner. Therefore it has the practical significance.

Key words: higher bridge pier, geometric non-linear, energy method, equivalent horizontal force, equivalent straight bar of constant cross section

摘要： 根据最小势能原理,用瑞雷-里兹法解决了高桥墩的几何非线性分析问题;其次,提出了等效水平力的新概念,可以方便地解决桥墩和板式橡胶支座联合抵抗垂直力所产生的二次效应问题.笔者提出适合于手算的简便计算公式,概念明确,勿须迭代运算,精度较高,易为设计人员掌握,因此具有实用价值.

关键词: 高桥墩, 几何非线性, 能量法, 等效水平力, 等效等直截面