用样条子域法分析船舶撞击码头非线性动力响应

NONLINEAR DYNAMIC RESPONSE ANALYSIS OF THE PIER SUBJECTED TO THE ACTION OF SHIP IMPACT BY USE OF SPLINE SUBDEMAIN METHOD

国内外对高桩码头在船舶撞击下的动力分析,虽作了不少研究,但所有理论都限于线性振动问题。针对广泛采用的防冲设备——橡胶护舷(非线性弹簧),本文提出一种复合体系(船舶-护舷-码头)非线性动力响应分析方法。导出复合体系刚度矩阵,采用Ritz变换先将刚体模态分离,对非线性动力方程,用样条子域法进行直接积分,分段线性化与割线迭代相结合进行数值分析.提供船舶撞击力及结构动内力.算例表明效果良好。

In the past, a lot of researches were done on the dynamic analysis of pier with deck supported on open pilings, subjected to the actiow of ship impact, yet all these studies were only refered to the linear vibration. Recently, considering the extensive employ of anti-impact equipment-rubber fender (nonlinear spring),in this paper,the nonlinear dynamic response analysis method for complex systems (ship-fender-pier) is proposed, The stiffness matrix of the complex systems were derived, the rigid-boby modes preliminarily were separated use of Ritz transform. For the nonlinear dynamic equation the direct integration is adopted using spline Weighted Residual subdemain method. The piecewise linerrization-secant interation is also presented solving the numerical solution. Impact force of ship and dynamic stress of structure are giver. The numerical examples show that the effect are very good.