Stability of average acceleration method for structures with nonlinear damping

The energy approach is used to theoretically verify that the average acceleration method （AAM）, which is unconditionally stable for linear dynamic systems, is also unconditionally stable for structures with typical nonlinear damping, including the special case of velocity power type damping with a bilinear restoring force model. Based on the energy approach, the stability of the AAM is proven for SDOF structures using the mathematical features of the velocity power function and for MDOF structures by applying the virtual displacement theorem. Finally, numerical examples are given to demonstrate the accuracy of the theoretical analysis.     

树根桩治理不均匀沉降厂房的实例

由于厂房桩基础设计为“洛阳铲”成孔灌注桩,不适宜该地基土且未考虑填土负摩擦的影响,加上部分桩基施工过程中未达到持力层,从而导致厂房发生不均匀沉降,引起上部结构沉降开裂。通过在原厂房承台中置入树根桩,并对承台进行了加固处理,使厂房不均匀沉降得到有效控制。     

动态海面上方船舶六自由度运动仿真

在Fudide-Krylov假设条件下,依据船舶分离建模理论在固定和运动坐标系中计算海面船只六自由度运动数学模型。主要包括:对风、浪、流的单独建模并进行矢量叠加,并在风浪流联合作用下对船舶六自由度运动构建简化的数学建模,完成实时仿真。基于Simulink和V-Realm Builder虚拟现实技术创建船舶运动模型、海洋表面环境及船只的几何模型,对船舶六自由度运动进行视景仿真,给出了有风无浪、有浪无风和风浪兼有三种情况下船只旋回路径和船舶运动轨迹。在VR视景浏览器中创建动态海面上船舶六自由度运动模型,不仅易于实现且结果逼真。得到的结果为进一步研究动态船只目标声散射特性的精确预报提供基础。     

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用拟准检定法和岭估计解算病态污染方程

针对法方程呈现病态且观测值受到污染而不严格服从正态分布的情况 ,探讨运用拟准检定法抗御粗差 ,用岭估计改善法方程的病态性。拟准检定法是根据真误差与观测值的确定关系式 RΔ =- RL求解真误差估值Δ。在 A或 ATA病态的情况下 ,直接求 R是不稳定的。对 A作奇异值分解计算 R,可避免对病态矩阵直接求逆。由于 R是秩亏的 ,通过附加“拟准观测真误差估值范数极小”的条件来求解真误差估值。拟准检定法与岭估计两者的结合 ,一般情况下有效地剔除了粗差 ,而且改善了方程的病态性 ,计算简单、快捷 ,结果比较理想。     

珊瑚砂振冲密实加固响应室内模型试验研究

随着海洋岛礁工程的大力推进,吹填珊瑚砂地基的密实加固问题开始备受关注。利用自主研发的室内振冲器开展了珊瑚砂饱和砂土地基的室内振冲模型试验研究,深入分析了振冲过程中动孔隙水压力、水平动土压力等动参量的响应规律,探讨了振冲后沉降变形、相对密实度的变化特征。结果表明：松散珊瑚砂地基的密实度在经过两次双点振冲反复加固后均提升至中密。其中相对密实度在振冲点位处的提升效果较其余位置更为明显,并且中层或深层区域的加固效果优于表层区域。在超孔隙水压力方面,其最大值出现在振冲珊瑚砂地基过程中的贯入阶段,并且在留振开始时出现衰减现象。珊瑚砂地基在振冲器上拔过程中超孔隙水压力发生断崖式下跌。在第2次贯入时,超孔隙水压力比的峰值较首次出现显著下降。超孔隙水压力比等值线云图表明,振冲过程中的超孔隙水压力比等值线呈现平行分布。珊瑚砂浅层水平土压力随振冲器的贯入与拔出均呈现增加态势,深层水平土压力则呈现减少态势。     

Mechanism of downcutting erosion of debris flow over a movable bed

The phenomenon of debris flow is intermediate between mass movement and solid transport. Flows can be sudden, severe and destructive. Understanding debris flow erosion processes is the key to providing geomorphic explanations, but progress has been limited because the physical-mechanical properties, movement laws and erosion characteristics are different from those of sediment-laden flow. Using infinite slope theory, this research examines the process and mechanism of downcutting erosion over a moveable bed in a viscous debris flow gully. It focuses specifically on the scour depth and the critical slope for viscous debris flow,and formulas for both calculations are presented.Both scour depth and the critical conditions of downcutting erosion are related to debris flow properties(sand volume concentration and flow depth) and gully properties(longitudinal slope,viscous and internal friction angle of gully materials,and coefficient of kinetic friction). In addition, a series of flume experiments was carried out to characterize the scouring process of debris flows with different properties. The calculated values agreed well with the experimental data. These theoretical formulas are reasonable, and using infinite slope theory to analyze down cutting erosion from viscous debris flow is feasible.