为利用球面波实验测得的有限个粒子速度信息来分析地下爆炸下介质的运动及变形特性,基于黏弹性球面波理论和局部黏弹性等效假设,提出了一种构建地下爆炸运动及变形场的新方法。首先,利用0.125 g TNT填实爆炸下花岗岩中相邻测点的粒子速...为利用球面波实验测得的有限个粒子速度信息来分析地下爆炸下介质的运动及变形特性,基于黏弹性球面波理论和局部黏弹性等效假设,提出了一种构建地下爆炸运动及变形场的新方法。首先,利用0.125 g TNT填实爆炸下花岗岩中相邻测点的粒子速度频谱给出相应的频谱比;其次,结合黏弹性球面波理论给出的理论频谱比求解出相邻测点之间区域内等效的球面波传播系数;再次,利用局部黏弹性等效假设给出相邻测点之间任意一点的粒子速度频谱,再通过傅里叶逆变换给出粒子速度的时域波形;最后,利用运动场和变形场的物理关系,完成整个分析区域内运动场和变形场的构建。结果表明:由相邻测点反演得到的波传播系数,可高精度地构建相应测点之间区域内介质的运动及变形场;在半径15~50 mm区域内,径向压缩应变峰值约从1.7×10^-2降为2.1×10^-3,切向拉伸应变峰值约从4.7×10^-3降为0.4×10^-3,径向压缩应变率峰值约从5.1×10^4 s^-1降为2.5×10^3 s^-1,切向拉伸应变率峰值约从5.0×10^3 s^-1降为1.4×10^2 s^-1,涵盖了高应变(率)到中低应变(率)加、卸载的全过程。展开更多
The problem of wave scattering by undulating bed topography in a two-layer ocean is investigated on the basis of linear theory. In a two-layer fluid with the upper layer having a free surface, there exist two modes of...The problem of wave scattering by undulating bed topography in a two-layer ocean is investigated on the basis of linear theory. In a two-layer fluid with the upper layer having a free surface, there exist two modes of waves propagating at both the free surface of the upper layer and the interface between the two layers. Due to a wave train of a particular mode incident on an obstacle which is bottom-standing on the lower layer, reflected and transmitted waves of both modes are created by the obstacle. For small undulations on the bottom of the lower layer, a perturbation method is employed to obtain first-order reflection and transmission coefficients of both modes for incident wave trains of again both modes in terms of integrals involving the bed-shape fimction. For sinusoidal undulations, numerical results are presented graphically to illustrate the energy transfer between the waves of different modes by the undulating bed.展开更多
In the present paper, we examine the performance of an efficient type of wave-absorbing porous marine structure under the attack of regular oblique waves by using a Multi-Domain Boundary Element Method(MDBEM). The str...In the present paper, we examine the performance of an efficient type of wave-absorbing porous marine structure under the attack of regular oblique waves by using a Multi-Domain Boundary Element Method(MDBEM). The structure consists of two perforated vertical thin barriers creating what can be called a wave absorbing chamber system. The barriers are surface piercing, thereby eliminating wave overtopping. The problem of the interaction of obliquely incident linear waves upon a pair of perforated barriers is first formulated in the context of linear diffraction theory. The resulting boundary integral equation, which is matched with far-field solutions presented in terms of analytical series with unknown coefficients, as well as the appropriate boundary conditions at the free surface, seabed, and barriers, is then solved numerically using MDBEM. Dissipation of the wave energy due to the presence of the perforated barriers is represented by a simple yet effective relation in terms of the porosity parameter appropriate for thin perforated walls. The results are presented in terms of reflection and transmission coefficients. The effects of the incident wave angles, relative water depths, porosities, depths of the walls, and other major parameters of interest are explored.展开更多
文摘The problem of wave scattering by undulating bed topography in a two-layer ocean is investigated on the basis of linear theory. In a two-layer fluid with the upper layer having a free surface, there exist two modes of waves propagating at both the free surface of the upper layer and the interface between the two layers. Due to a wave train of a particular mode incident on an obstacle which is bottom-standing on the lower layer, reflected and transmitted waves of both modes are created by the obstacle. For small undulations on the bottom of the lower layer, a perturbation method is employed to obtain first-order reflection and transmission coefficients of both modes for incident wave trains of again both modes in terms of integrals involving the bed-shape fimction. For sinusoidal undulations, numerical results are presented graphically to illustrate the energy transfer between the waves of different modes by the undulating bed.
文摘In the present paper, we examine the performance of an efficient type of wave-absorbing porous marine structure under the attack of regular oblique waves by using a Multi-Domain Boundary Element Method(MDBEM). The structure consists of two perforated vertical thin barriers creating what can be called a wave absorbing chamber system. The barriers are surface piercing, thereby eliminating wave overtopping. The problem of the interaction of obliquely incident linear waves upon a pair of perforated barriers is first formulated in the context of linear diffraction theory. The resulting boundary integral equation, which is matched with far-field solutions presented in terms of analytical series with unknown coefficients, as well as the appropriate boundary conditions at the free surface, seabed, and barriers, is then solved numerically using MDBEM. Dissipation of the wave energy due to the presence of the perforated barriers is represented by a simple yet effective relation in terms of the porosity parameter appropriate for thin perforated walls. The results are presented in terms of reflection and transmission coefficients. The effects of the incident wave angles, relative water depths, porosities, depths of the walls, and other major parameters of interest are explored.
