等平方能量法计算非线性结构随机振动

EQUIVALENT SQUARE-ENERGY TECHNIQUE IN ANALYSIS OF RANDOM VIBRATION OF NONLINEAR STRUCTURES

工程上很多结构如钢筋混凝土结构、应力超过比例极限后的钢结构,都具有非线性特性。由于这些非线性具有软弹簧性质,作者曾一再提倡的用能量原理虽然用之于硬弹簧体系有很好的精度,但对软弹簧体系却得不到好的效果。本文在分析它的成因的基础上提出用平方能量来计算软弹簧类非线性结构,收到了与硬弹簧体系同样好的效果。对于各类非线性结构的周期和风振位移,均已加以分析,可供应用参考。

Most of engineering structures such as reinforced concrete structures, steel structures in which some stresses are beyond elastic limit, are possessed of nonlinear characteristics. Equivalent energy technique suggested by author is more accurate than gerenal equivalent equation technique for hardening-spring systems, but is not good in accuracy for softening-spring systems. In this paper, a new technique based on equivalent square-energy is proposed for softening-spring systems and it is also good in accuracy as well as the technique based on equivalent energy for hardening-spring systems. The equivalent periods and wind-excited responses of two kinds of nonlinear structures have also been analysed for the purposes of application.