复模态理论在近海平台中的应用

运用复模态理论对考虑海洋平台结构与流体相互作用而引起的非经典阻尼问题进行了理论分析。水中耦合阻尼矩阵运用复模态解法，可以不必近似对角化。推导了随机波浪荷载作用下结构各种反应的能量谱密度函数及结构反应的统计特性，得到了结构反应的均方差和峰值的表达式。针对某典型平台在随机波浪荷载作用下动力反应用复模态法进行了计算并与运用实模态方法多重叠代方法的结果进行了比较。

Application of Complex Mode Method in Offshore Platform

Theoretical analysis was conducted for the dynamic equation problem of non-classical damp of offshore platform structure under stochastic wave load. Some kinds of response spectrum density functions of the structure were obtained and the statistical characters were deduced. Analytical expressions, for the average value and peak value of the displacement, velocity and accelerator were acquired. A typical platform response under stochastic wave load was computed by two kinds of methods i. e. , complex mode method and real mode method. At last, the two kinds of results were compared.