Interaction of Oblique Waves and A Rectangular Structure with An Opening Near A Vertical Wall

With the method of separation of variables and the eigenfunction expansion employed, an analytical solution is presented for the radiation and diffraction of a rectangular structure with an opening near a vertical wall in oblique seas, in which the unknown coefficients are determined by the boundary conditions and matching requirement on the interface. The effects of the width of the opening and the angle of incidence on the hydrodynamic characteristics of a rectangular structure with an opening near a vertical wall are mainly studied. The comparisons of the calculation results with wall-present and with wall-absent are also made. The results indicate that the variation trends of the heave added mass and excitation force with wall-present are almost the same as those with wall-absent, and that the peak values in the former case are obviously larger than those in the latter due to the reflection of the vertical wall.     

弹性矩形板下横观各向同性多层地基分析

利用弹性矩形板与多层地基表面的竖向位移协调条件与光滑接触条件,由横观各向同性多层地基应力与位移非耦合的传递矩阵解,推导出弹性矩形板下竖向应力和位移的解析解。在此基础上,编制了相应的程序,并进行了数值计算。计算结果表明：矩形板刚度对板底竖向位移及板中心下的竖向应力有着较为显著的影响;板底竖向位移及板中心下的竖向应力随着板刚度的增加而减小,相同荷载作用下横观各向同性地基与均匀各向同性地基模型的计算结果差异较大,实际工程中很有必要采用更符合土体性质的横观各向同性地基模型     

黏弹性地基板在矩形变速荷载作用下的振动分析

利用双重Fourier变换方法,首先推导得到了黏弹性地基板在多个矩形变速移动荷载作用下的动力响应一般解。然后以实际刚性路面为算例,采用快速傅立叶变换(FFT)方法对匀变速荷载作用下的板的动挠度进行了数值求解。与经典解进行了比较,显示出了较好的一致性。利用数值结果重点分析了矩形移动荷载的加速度、减速度以及初速度对板的动态挠度的影响,发现移动荷载加速度、减速度及初速度对黏弹性地基板动力响应的影响十分明显,随着加速度（减速度）和初速度的增大,板的动挠度在关键速度时明显减小;板的动挠度出现峰值的位置对应着不同的加速度（减速度）和初速度,但却对应着相同的关键速度。     

桩（墙）单位侧摩阻力与轴向应变关系的解析解及其应用

根据弹性力学原理,提出了模型筒桩（闭合墙）的简化力学模型。采用半逆解法先求出桩左右侧受均布摩阻力、桩顶受均布荷载两种情况下的应力分量,根据叠加原理得出桩两侧均受相同摩阻力、桩顶受均布荷载情况下的应力分量。据此推导了普通桩基的轴力和侧摩阻力计算式,分析结果表明,该计算式与传统计算方法是一致的。当桩壁两侧受不同大小的侧摩阻力、桩顶受均布荷载时,仍采用叠加原理求得各应力分量,进而求得桩表面处的轴向应变与单位侧摩阻力关系的解析解。通过矩形闭合墙基础模型试验实例,对该解析解的应用方法加以说明。该解析解的求出,为竖向载荷试验中模型筒桩（闭合墙）所量测的内外侧应变进行数据处理提供了理论依据,进而为基础-土相互作用研究提供了真实、准确的试验结果。     

旋转球体上二维水体长波的一个典型驻波问题

通过分析等深矩形海湾里的潮波运动,研究了旋转球体（地球）上二维水体长波的一个典型驻波问题。分析对比该二维驻波和一维驻波,可以看出前者的图形比后者要复杂得多,但其规律性却是十分明显的;其中最主要的特征是空间上相间配置的无潮点和圆流点。由矩形海湾里潮波能量传播的分析可知,判断该二维驻波的运动学特征,主要应从波动的宏观结构着眼,而不是像一维的那样判断有无能量的传播。文章着重从理论上进行分析,但是在实际海洋中不乏这种潮波运动的广泛例证。     

拓扑变换法在平面直角坐标近似变换中的应用

简要介绍了对平面直角坐标进行近似变换的几种方法,重点讨论了拓扑变换法对平面直角坐标进行近似变换的原理。并对其变换的精度情况进行了实践分析。提出了提高其变换精度的处理方法及在建立变换模型时应注意的问题。     

埋深基础地基极限承载力的数值求解方法

为确定作用在已知埋深、给定基础形状地基土上的极限承载力,对基底下的土体进行网格划分,先假定一均布荷载作用在此地基土上,运用明德林解的积分公式,结合角点法,编制MATLAB语言程序,求出每个网格节点上附加应力,进而求得每个网格节点上主应力,根据破坏准则,结合程序找出破坏点的坐标,利用MATLAB的图形处理功能,把破坏点的坐标在坐标图中显示出来。继续加大矩形荷载,直至这些破坏点在坐标图中刚好能够形成一个连续的破坏面,此时的矩形荷载即为此地基的极限承载力。此方法不仅可以有效地避免了地基承载力经验公式中一些不合理的假设带来的误差,更符合实际情况,而且可以直观地了解到地基土的三维破坏面。     

矩形移动荷载作用下路面-双层地基系统三维振动分析

考虑路面和地基之间的相互作用,建立了路面-双层地基的三维模型,将车辆荷载模拟成矩形移动荷载,利用Fourier变换方法对车辆荷载作用下路面-双层地基系统的三维振动问题进行了研究。假设地基为上部弹性土体和下部为饱和土体组成的双层混合结构,整个系统置于刚性基岩上。通过引入势函数,利用Lame分解理论和积分变换方法分别对弹性土层和饱和土层进行求解。在Fourier变换域内,联立路面和下卧双层地基系统的的运动方程,获得了车辆荷载作用下路面-双层地基系统三维振动的位移和孔压响应的积分形式解,并利用IFFT算法和自适应数值积分算法得到了数值计算结果。研究结果可为路基动力响应分析提供参考。     

Accuracy in measurements and the temperature and volume dependence of thermoelastic parameters

To obtain the temperatureT and volumeV (or pressureP) dependence of the Anderson-Grüneisen parameter _T , measurements with high sensitivity are required. We show two examples:P, V, T measurements of NaCl done with the piston cylinder and elasticity measurements of MgO using a resonance method. In both cases, the sensitivity of the measurements leads to results that provide information about _T (,T), where V/V ₀ andV ₀ is the volume at zero pressure. We demonstrate that determination of _T leads to understanding of the volume and temperature dependence ofq=( ln / lnV) _T over a broadV, T range, where is the Grüneisen ratio.     

Radiation and diffraction of linear water waves by an infinitely long submerged rectangular structure parallel to a vertical wall

The radiation and the diffraction of linear water waves by an infinitely long floating rectangular structure submerged in water of finite depth with leeward boundary being a vertical wall are analyzed in this paper by using the method of separation of variables. Analytical expressions for the radiated and diffracted potentials are derived as infinite series with unknown coefficients determined by the eigenfunction expansion matching method. The expressions for wave forces and hydrodynamic coefficients are given. A comparison is made between the results obtained by the present analytical solution and those obtained by the boundary element method. By using the present analytical solution, the hydrodynamic influences of the submergence, the width, the thickness of the structure, and the distance between the structure and the wall on the wave forces and hydrodynamic coefficients are discussed in detail.