准周期激励非线性隔振系统的混沌研究

建立了准周期激励下非线性隔振系统的模型;应用Poincare映射方法对系统进行降维处理后,在Poincare截面上分析了系统稳定流形和不稳定流形的行为.应用Melnikov方法确定了系统产生混沌的参数区域.结果表明双曲不变环面的稳定流形和不稳定流形之间同宿横截相交是导致该系统产生混沌的根本原因,并给出了系统出现混沌时的相图、Poincare截面图,计算了Lyapunov指数.     

Green-Naghdi理论的全非线性浅水波数值模拟(英文)

Green-Naghdi (G-N) theory is a fully nonlinear theory for water waves. Some researchers call it a fully nonlinear Boussinesq model. Different degrees of complexity of G-N theory are distinguished by “levels” where the higher the level, the more complicated and presumably more accurate the theory is. In the research presented here a comparison was made between two different levels of G-N theory, specifically level II and level III G-N restricted theories. A linear analytical solution for level III G-N restricted theory was given. Waves on a planar beach and shoaling waves were both simulated with these two G-N theories. It was shown for the first time that level III G-N restricted theory can also be used to predict fluid velocity in shallow water. A level III G-N restricted theory is recommended instead of a level II G-N restricted theory when simulating fully nonlinear shallow water waves.     

钢夹层板数值模拟技术(英文)

Sandwich plate systems (SPS) are advanced materials that have begun to receive extensive attention in naval architecture and ocean engineering. At present, according to the rules of classification societies, a mixture of shell and solid elements are required to simulate an SPS. Based on the principle of stiffness decomposition, a new numerical simulation method for shell elements was proposed. In accordance with the principle of stiffness decomposition, the total stiffness can be decomposed into the bending stiffness and shear stiffness. Displacement and stress response related to bending stiffness was calculated with the laminated shell element. Displacement and stress response due to shear was calculated by use of a computational code write by FORTRAN language. Then the total displacement and stress response for the SPS was obtained by adding together these two parts of total displacement and stress. Finally, a rectangular SPS plate and a double-bottom structure were used for a simulation. The results show that the deflection simulated by the elements proposed in the paper is larger than the same simulated by solid elements and the analytical solution according to Hoff theory and approximate to the same simulated by the mixture of shell-solid elements, and the stress simulated by the elements proposed in the paper is approximate to the other simulating methods. So compared with calculations based on a mixture of shell and solid elements, the numerical simulation method given in the paper is more efficient and easier to do.     

基于模型预测的主动式减摇水舱约束控制

由于边舱高度有限,减摇水舱中的流体在水舱内运动时会引起饱和非线性,给舱内流体运动的估计与控制带来困难.针对饱和非线性所带来的控制问题,建立船舶-水舱系统模型,同时基于约束条件设计了模型预测控制(MPC)策略.仿真结果表明,该控制策略在减少主动式水舱高能耗的同时,增强了对水舱内流体的控制,有效提高了水舱系统的减摇效果.     

滑动轴承—转子系统基础冲击响应研究

为考察旋转机械在基础冲击这一特定外界激励下的动力学行为特性,利用集中质量法建立了滑动轴承-转子系统模型和相应的运动微分方程,考虑了转子圆盘的质量偏心,基础冲击用基础的时间历程平移运动来模拟;冲击通过挤压效应和楔形效应对瞬态油膜力产生贡献,基于此用有限差分法仿真计算得到了瞬态非线性油膜力;运用直接积分法求解系统运动微分方程,考察了冲击激励施加时机对响应的影响,考察了冲击对系统稳定性的影响。     

76 000 DWT散货船浮箱载船下水研究

浮箱载船下水是船舶下水方式之一,浮箱载船下水过程中,浮箱的安全是保证船舶安全下水的关键因素,因此,对浮箱安全的评估显得特别重要。对76000 DWT散货船浮箱载船下水和支墩刚度的计算进行了较详细的研究,计算结果显示下水过程中的浮箱的总纵强度和稳性满足许可要求,此船浮箱载船下水工艺可以指导其他船舶浮箱载船下水。     

非淹没丁坝三维绕流数值模拟

通过应用非线性三维紊流数值模型,并采用有限体积法对模型控制方程进行离散,对非淹没丁坝绕流进行数值模拟仿真分析,给出了三维流场、压力分布场、剪应力分布场等信息,计算结果均基本符合非淹没丁坝绕流的实际情况,结果表明该非线性模型是可取的,数值模拟结果具有一定的可信度.     

码头成层地基中地震动的非线性反演方法

为了合理地对某码头结构进行抗震分析,采用非线性土层随机地震反应分析方法,结合自由场地地表处测得的地震加速度记录,反演得到了基岩加速度,为结构抗震分析提供了合理的地震动输入.由于土体是一种显著的非线性材料,采用一种简化的方法求解剪切模量和阻尼比,从而确立了土体的动力本构关系,建立了非线性反演方法.最后,结合某高桩码头工程,对该工程地表加速度进行了非线性反演得到基岩地震动.计算结果表明该反演方法是正确的,有着较高的精度.     

软黏土固结变形特性及数值模拟验证

软黏土在我国沿海地区广泛存在,且物理力学特性复杂.通过现场取样进行室内试验,研究土体的各种力学特性,并选取合适的参数进行数值计算,模拟模型试验中土体的固结变形及其演化规律,解释试验中的一些特殊现象,得到一些重要结论.在固结变形中,超软淤泥的特殊力学特性使得土体越渗越密,越密越难渗,表现出与其他土体不同的固结特性,因此,必须考虑土体渗透系数随土体孔隙比变化和土体非线性的力学特征等规律.