海洋平台对随机非线性波浪力的动力响应
Dynamic Response of Offshore Platforms to Nonlinear Random Wave Forces
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摘要: 本文系统地阐述了固定式海洋结构在考虑波浪与结构相互作用情况下的随机动力分析原理。问题的关键在于对波浪力中的非线性阻力项进行线性化,并使耦合的广义阻尼矩阵对角化,为此运用了统计等效线性化方法和迭代方法等,最后使问题归结为若干个独立的线性化的随机微分方程,而方便地予以解决。根据本文原理编成了SELIM和SELIM-1程序。经试用,获得满意的计算结果。七个自由度的算例只经过二、三次迭代即可使迭代误差小于百分之五。Abstract: Stochastic dynamic response analysis of fixed offshore platforms to nonlinear random wave forces is represented systematically. Effects of fluid-structure interactions are considered. The main problems which should be solved are linearization of nonlinear drag forces and diagonalization of coupled general damping matrices. Statistic equivalent linearization technique is therefor used together with an iterative proeedure. The simutaneous nonlinear stochastic differential equations are finally transformed into several independent linearized ones and are then solved readily. SELIM and SELIM-1 computer programs are developed accordingly. The calculation results are satisfactory. For an offshore tower with seven degrees of freedom, the iterative errors become less than five persent after two or three cycles of iteration.