复合材料大变形偏心加筋板单元

构造了用于复合材料偏心加筋板结构大变形分析的偏心加筋板单元，在板和肋骨的方程中，引用VonKarman大变形理论计及几何非线性的影响，按照Mindlin-Reissoner一阶剪切变形理论考虑横向剪切变形；在肋骨的本构造方程中，计及常规梁单元忽略了侧向Poisson效应和扭转刚度，所构造单元的特点是在网格划分时，可不必考虑肋骨的位置，这就给网格划分带来了很大的灵活性。     

芯板可压缩的夹层加筋板固有频率分析

推导了一种考虑芯板垂向压缩变形影响的双向加筋的约束阻尼夹层板有限元单元.其中,夹层板面遵循Mindlin一阶剪切变形理论的假定;芯板采用基于厚板理论的非线性位移模式, 各向位移沿板厚成抛物线分布, 并考虑了芯板的横向压缩变形;加强筋采用Timoshenko梁模型,考虑了其剪切变形的影响.根据层间位移连续和板、梁位移连续假设,将芯板和加强筋的位移用上下面板位移表示,推导了相应的位移应变关系, 继而根据Hamilton原理建立了控制方程.数值计算结果表明约束阻尼夹层加筋板有限元单元的推导是正确的;在约束阻尼夹层加筋板的固有频率研究中,考虑夹层板芯层的垂向压缩变形的影响是必要的.还讨论了芯板和加强筋的各个参数对板固有频率的影响.     

非线性地基上桩,梁,板结构的空间分析及程序编制

提出采用梁－－土复合单元的方法计算非线性地基反力情况下地基梁（或桩）的内力及变形，对单元的非刚性连接与带钢臂连接的情况进行了分析，采用结点土添加集中型非线性弹簧的方法处理非线性地其反应力情况下地板的计算，并编制了电算程序，可计算非线性地基上桩、梁、板组合结构物的内力及变形。     

系泊缆索的非线性动力响应计算

系泊缆索会受到非线性流体动力的作用,还会出现大的位移。采用三维弹性梁理论模型,把缆索看作是等拉伸刚度、等弯曲刚度的细长结构,采用非线性有限元法求解缆索的运动方程。用牛顿迭代法计算系泊缆索的静力平衡状态。对于缆索的动力响应方程,采用隐式、显式混合的数值格式,最终将方程化为显式格式进行求解,提高了计算效率;使用高阶单元,只需要较少的单元就可以得到收敛解。计算结果表明,该计算方法能较准确地描述系泊缆索的非线性特征,且适用于缆索大变形条件下的动力响应分析。     

加筋板大挠度弯曲变形分析《中国造船》2001．6 P40～47

本文提出了一种加强筋大挠度弯曲变形的新解法,本法将离散的梁与板结合起来建立一个统一的控制方程。然后引入板、板长方向和板宽方向加筋三个不同的应力函数,通过函数将加筋板应力场离散,根据加筋板的平衡方程和变形协调条件。推导出加强筋板的Von-karman方程。运用加强残值法,可以解出不同边界条件下的加筋板大挠度问题。最后还给出了几个计算实例,表3。     

小波加权残值法在固支矩形板后屈曲上的应用

根据Von Karman板大挠度方程,以小波函数作为试函数,采用小波加权残值法将四边固支矩形板的平衡控制方程和变形协调方程化解为两个非线性方程组,将后屈曲路径的求解转化为两个非线性方程组的求解问题.将载荷分为多个水平,利用Newton-Raphson迭代算法求得非线性方程组的解,从而得到四边固支矩形板的后屈曲平衡路径和四级渐进解.通过算例表明小波可以用于解决矩形板的后屈曲问题.     

加筋板大挠度弯曲变形分析

提出了一种加筋板大挠度弯曲的新解法,此方法将离散的梁与板结合起来建立一个统一的控制方程。然后引入板、板长方向和板宽方向加筋三个不同的应力函数,通过δ函数将加筋应力场离散,根据加筋板的平衡方程和变形协调条件,推导出加筋板的Von-Karman方程。运用加权残值法,可以解出不同边界条件下的加筋板大挠度问题。最后还给出了几个计算实例。     

含裂纹损伤船体板板条梁的非线性动力响应

研究含裂纹损伤船体板板条梁两端固支,受横向阶跃均布载荷作用下的非线性动力响应问题。考虑横向剪切变形和几何非线性,根据Hamilton原理导出板条梁的非线性动力方程,并应用线弹簧理论将裂纹引入到动力方程中,用有限差分法对方程进行求解。文中讨论了裂纹的存在与否,载荷作用形式,裂纹长度和裂纹位置等因素对船体板板条梁的非线性动力响应的影响。     

梁板式高桩码头结构计算模型比选

通过计算比较分析,讨论了梁板式高桩码头结构计算的各种计算模型的适用性。分别以某15万t级集装箱高桩码头的结构段和单个排架段结构为研究对象,建立了梁板单元、实体单元和等效桩基实体单元的有限元分析模型,通过对控制工况进行计算比较,讨论了各种计算模型的计算效率、特点和适用性。计算码头桩基内力、横纵梁内力、沉降变形量时,可采用梁板单元结构段模型,作为近似,也可采用现设计规范推荐的投影梁板单元排架结构模型。     

船舶板梁组合结构的振动分析

采用Ｍｉｎｄｌｉｎ板单元和参考轴杆单元,建立了考虑板剪切变形、骨架剪切变形和骨架偏心影响的船舶板梁组合结构振动分析模型,并研究比较了不同船舶板梁组合结构振动分析有限元模型的计算精度。最后通过对某舱室甲板固有频率计算值和实测值的比较,讨论了船舶局部结构振动分析中边界条件处理问题。     

波浪对有梁面板结构冲击作用数值模拟

采用计算机数值模拟方法,在FLUENT软件计算平台上建立了二维规则波数值波浪水槽,对透空有梁面板结构底面受到的波浪冲击作用进行研究。数学模型采用RANS方程和k-ε湍流模型,以VOF方法处理自由表面。通过对不同工况的数值模拟和试验结果比较,验证了模型的造消波性能和应用的有效性。通过计算,得到了波浪冲击过程中波陡、超高和板宽各因素对冲击压强的影响。最后在已有冲击压强计算公式基础上提出了修正公式,以更准确地预报波浪的冲击荷载,深入认识波浪冲击机理。     

不规则波对透空有梁面板底部缓变作用的数值模拟

采用计算机数值模拟方法,在FLUENT软件计算平台上建立二维不规则波浪模型,对透空有梁面板结构底面受到的波浪缓变压力作用进行研究。通过模拟典型工况,采用低通滤波器方法提取上托力信号的缓变部分,将数值模拟结果和试验结果进行比较,验证模型的有效性。讨论波陡、超高和板宽各因素对缓变压力的影响,进而在模拟数据和已有成果基础上提出板底最大缓变压力的经验公式,为类似工程提供参考。     

Time-domain simulation of wave-induced nonlinear motions and loads and its applications in ship design

A nonlinear time-domain formulation for ship motions and wave loads and a nonlinear long-term statistics method are presented and applied to the S175 container ship. The general agreement between model tests and numerical results is very satisfactory. The calculated long-term vertical sagging and hogging moments amidships are comparable to those given by DNV rules. The approach described in this paper can be used as a way of more accurately evaluating extreme wave loads and other nonlinear responses in ship design.     

近水面椭球体非线性兴波的数值模拟

本文开发了一种去奇异面元法用于计算以定常前进速度运动的近水面椭球体引起的三维非线性自由面势流.采用求解非线性深水波的Stokes理论求解该定常非线性问题;物面用NURBS(非均匀有理B样条)表达;孤立的Rankine源分布在物体内部和自由面上方.给出了波型、波阻以及收敛特性随一些参数的变化规律.波阻计算结果和他人的其它数值结果进行了比较,其吻合程度令人满意.     

液舱晃荡与浮体非线性耦合运动分析(英文)

Nonlinear interactions among incident wave, tank-sloshing and floating body coupling motion are investigated. The fully nonlinear sloshing and body-surface nonlinear free surface hydrodynamics is simulated using a Non-Uniform Rational B-Spline (NURBS) higher-order panel method in time domain based on the potential theory. A robust and stable improved iterative procedure (Yan and Ma, 2007) for floating bodies is used for calculating the time derivative of velocity potential and floating body motion. An energy dissipation condition based on linear theory adopted by Huang (2011) is developed to consider flow viscosity effects of sloshing flow in nonlinear model. A two-dimensional tank model test was performed to identify its validity. The present nonlinear coupling sway motion results are subsequently compared with the corresponding Rognebakke and Faltinsen (2003)’s experimental results, showing fair agreement. Thus, the numerical approach presented in this paper is expected to be very efficient and realistic in evaluating the coupling effects of nonlinear sloshing and body motion.     

系泊系统的稳定性、分岔与混沌研究

概述了近年来在系泊系统的稳定性、分岔与混沌研究方面的进展.从系泊系统的数学模型、非线性动力学特性的研究方法等角度分析了以后的发展趋势.     

一种丰满船型的兴波阻力计算方法

提出一种部分计及自由面粘性效应及表面张力影响的完全非线性自由面边界条件,以该条件计算了方形系数Cb为0.8的Todd 60船型的非线性兴波问题,计算结果表明:非线性迭代的收敛性得到改善,兴波阻力被夸大的倾向有所改进。     

基于增量谐波平衡法的输流管道非线性振动分析

考虑内、外流体的影响,利用Kane方法和拉格朗日应变理论建立了输流管道的二维非线性动力学模型.将动力学模型在平衡位置附近线性化,进行输流管道的线性稳定性分析.采用增量谐波平衡法求解包含三次非线性项动力学模型的稳态周期解.探讨了不同参数影响下输流管道的非线性动力响应以及内流流速的大小对管道动力特性的影响.     

Theoretical,experimental and numerical investigations into nonlinear motion of a tethered-buoy system

In this paper, we discuss nonlinear motion of a buoy connected vertically to the seabed via a tensioned tether (tethered-buoy). A series of scaled model tests has been conducted and a significant nonlinear behavior of the buoy motion, sub-harmonic motion in particular, is observed. Taking account of the influence of time-varying tether tension on the buoy motion, theoretical explanation is made for the sub-harmonic response. The stability of the tethered-buoy system is focused based on Mathieu instability theory. A strongly coupled numerical model between the buoy motion and the tether behavior is established to clarify the mechanism of the nonlinear motion of the tethered-buoy system. A comparison between the experiment data and simulation results is presented not only for the linear but also for the sub-harmonic components. Influential factors for the sub-harmonic motion are discussed in detail. It turned out that the sub-harmonic motion is dominated by the nonlinear coupling effect of time-varying tension in the tether with the buoy motion. Finally, the influential factors to the sub-harmonic motion are indicated throughout the comparison between two different buoy models.     

Comparison of numerical and experimental results of nonlinear wave-induced vertical ship motions and loads

 A nonlinear time-domain procedure is presented which is used to calculate the vertical responses of a container ship advancing in head waves. The method assumes linear radiation forces represented by time convolution of memory functions, infinite frequency added masses, and radiation restoring coefficients. The nonlinear hydrostatic restoring and Froude–Krilov forces are computed exactly over the instantaneous wetted surface of the ship's hull. Forces due to green water on deck are calculated using the momentum method. Nonlinear effects are identified on different vertical ship responses, namely on the heave and pitch motions, the vertical accelerations, and the vertical bending moment. These non-linear effects are expressed by the variation of the transfer function with the wave amplitude, the higher-order harmonics of the time signals, the offset of the time series, and the asymmetry of the peaks. The numerical results and the quantified nonlinear effects are compared with experimental results showing an ability to reproduce the main nonlinear effects. Received: December 17, 2001 / Accepted: January 31, 2002