Transient‐state groundwater flow in various geometries with wells at arbitrary positions: analytical methods     

M. W. Roth  C. M Wilson  M. Z. Iqbal 《水文研究》2003,17(17):3519-3530

We have developed a method for analytically solving the porous medium flow equation in many different geometries for horizontal (two‐dimensional), homogeneous and isotropic aquifers containing impermeable boundaries and any number of pumping or injection wells located at arbitrary positions within the system. Solutions and results are presented for rectangular and circular aquifers but the method presented here is easily extendible to many geometries. Results are also presented for systems where constant head boundary conditions can be emulated internal to the aquifer boundary. Recommendations for extensions of the present work are briefly discussed. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

Elastic solutions for stresses in a transversely isotropic half‐space subjected to three‐dimensional buried parabolic rectangular loads     

Cheng‐Der Wang  Jyh‐Jong Liao 《国际地质力学数值与分析法杂志》2002,26(14):1449-1476

In many areas of engineering practice, applied loads are not uniformly distributed but often concentrated towards the centre of a foundation. Thus, loads are more realistically depicted as distributed as linearly varying or as parabola of revolution. Solutions for stresses in a transversely isotropic half‐space caused by concave and convex parabolic loads that act on a rectangle have not been derived. This work proposes analytical solutions for stresses in a transversely isotropic half‐space, induced by three‐dimensional, buried, linearly varying/uniform/parabolic rectangular loads. Load types include an upwardly and a downwardly linearly varying load, a uniform load, a concave and a convex parabolic load, all distributed over a rectangular area. These solutions are obtained by integrating the point load solutions in a Cartesian co‐ordinate system for a transversely isotropic half‐space. The buried depth, the dimensions of the loaded area, the type and degree of material anisotropy and the loading type for transversely isotropic half‐spaces influence the proposed solutions. An illustrative example is presented to elucidate the effect of the dimensions of the loaded area, the type and degree of rock anisotropy, and the type of loading on the vertical stress in the isotropic/transversely isotropic rocks subjected to a linearly varying/uniform/parabolic rectangular load. Copyright © 2002 John Wiley & Sons, Ltd.  相似文献   

An alternative approach to the structural motion analysis of wedge-beam offshore structures supporting a load     

J. S. Wu  K. -W. Chen 《Ocean Engineering》2003,30(14):1791-1806

For convenience of dynamic analysis, some offshore structures such as fixed-type platforms are often modeled as the wedge beams supporting tip lumped masses. It is well-known that, due to the effect of the surrounding water, the natural frequencies of a beam in air (or dry beam) are different from those of the same beam immersed in water (or wet beam). However, if the natural frequencies and the associated mode shapes of a dry beam are calculated by taking account of the “added mass” for the immersed beam, then the last natural frequencies and mode shapes will be equal to the corresponding ones of the wet beam. Based on the last concept, the closed form solutions for natural frequencies and the associated mode shapes of the dry beam were determined first, then the partial differential equation of motion for the wet beam was transformed into a matrix equation by using the expansion theorem and the foregoing closed form solutions of free vibration responses for the dry beam. Solving the last matrix equation will give the required natural frequencies and the associated mode shapes of the wet beam. The formulation of this paper is available for the fully or partially immersed double tapered beams with either circular, square or rectangular cross-sections. The taper ratio for width and that for depth may be equal or unequal. The numerical results of this paper were compared with the existing results or the finite-element-method results and good agreement was achieved.  相似文献   

Hydroelastic Analysis of Very Large Floating Structures Using Plate Green Functions   总被引：4，自引：0，他引：4  

闫红梅  崔维成  刘应中 《中国海洋工程》2003,17(2)

1 .IntroductionRecentlygreatinteresthasbeenshowninthedevelopmentofverylargefloatingstructuressuchasMegaFloatofJapan (Isobe ,1 999)andMOBofUSA (Remmers ,1 999) .Owingtotheirextremelargesizeandgreatflexibility ,thecouplingbetweenthestructuraldeformationandfluidmotionissignifi cant.Thisisatypicalproblemofhydroelasticity .Efficientandaccurateestimationofthehydroelasticresponseofverylargefloatingstructuresinwavesisveryimportantfordesign .Manymethodshavebeenproposedinliteratureforthepredictiono…  相似文献   

Cyclic tests on large‐scale models of existing bridge piers with rectangular hollow cross‐section     

A. V. Pinto  J. Molina  G. Tsionis 《地震工程与结构动力学》2003,32(13):1995-2012

Cyclic tests on two large‐scale models of existing bridge piers with rectangular hollow cross‐section were performed in the ELSA laboratory. The prototype structure is an existing reinforced concrete highway bridge constructed in Austria in 1975. The piers presented several seismic deficiencies and consequently they showed poor hysteretic behaviour and limited deformation capacity as well as undesirable failure modes that do not comply with the requirements of modern codes for seismic‐resistant structures. Experimental data are compared to numerical and empirical predictions. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

往复荷载作用下矩形钢管混凝土压弯构件承载力计算     

杨有福  韩林海 《地震工程与工程振动》2003,23(5):125-129

本文基于往复荷载作用下矩形钢管混凝土压弯构件的实验结果，比较了国内外比较典型的设计规范(程)，包括英国BS5400(1979)、美国ACI318—99(1999)和AISC-LRFD(1999)、日本AIJ(1997)、欧洲EC4(1994)、中国GJB4142-2000(2001)和福建省地方标准(送审稿)，及本文数值方法在计算往复荷载作用下矩形钢管混凝土压弯构件承载力的差异。结果表明，在进行往复荷载作用下矩形钢管混凝土压弯构件承载力计算时，各种计算方法获得的承载力都偏于安全，其中，数值计算结果与实验结果最接近，GJB4142—2000(2001)的计算结果与实验结果吻合程度稍差，ACI318—99(1999)，EC4(1994)和福建省地方标准(送审稿)的计算结果比实验结果约低20％，而BS5400(1979)、AISC—LRFD(1999)和AIJ(1997)的计算结果比实验结果总体上低30％以上。本文结果可供进行矩形钢管混凝土结构设计时参考。  相似文献   

基于矩形网格的有限差分走时计算方法   总被引：4，自引：0，他引：4       下载免费PDF全文

李振春  刘玉莲  张建磊  马在田  王华忠 《地震学报》2004,26(6):644-650

对于大多数速度场，地震波沿射线传播的初至波走时，可以用有限差分外推的方法在二维或三维数值网格上计算出来. 在保证精度的条件下，为提高计算效率和适应性，本文推导了基于任意矩形网格和局部平面波前近似的有限差分初至波走时计算方法. 另外，该方法对首波和散射波做了合适的处理，而且不会碰到传统射线法存在的阴影区和焦散区等问题. 简单模型和复杂的Marmousi模型试算的结果表明，该方法精度较高并适用于强纵、横向变速的复杂介质. 基于该方法的Kirchhoff叠前深度偏移, 在主要构造和目的层位置的成像效果上基本达到了波动方程法叠前深度偏移的位置成像效果. 由于未考虑续至波等有效能量，在成像的保幅性上不如波动方程法叠前深度偏移的效果，但其计算效率则明显高于全格林函数法和波动方程法.   相似文献   

Analysis of rectangular piles subjected to lateral loads in nonhomogeneous soil using a Winkler model approach          下载免费PDF全文

Hiroyoshi Hirai 《国际地质力学数值与分析法杂志》2015,39(9):937-968

An analytical approach using a Winkler model based on two lateral soil displacement components in a three‐dimensional soil is investigated to provide analytical solutions of horizontal response of a rectangular pile subjected to lateral loads in nonhomogeneous soil. The two lateral displacement components of a soil surrounding the rectangular pile are represented by the Fourier series of displacement potential functions in the elastic three‐dimensional analysis. The lateral stiffness coefficient of the rectangular pile shaft in nonhomogeneous soil is derived from the rocking stiffness coefficient taking into account rocking rotation of a rigid pile shaft. The relationship between horizontal displacement, rotation, moment, and shear force for the rectangular pile subjected to horizontal loads in nonhomogeneous soil is obtainable in the form of the recurrence equation. The formulation of lateral displacement and rotation for a rectangular pile subjected to lateral loads on the pile base in nonhomogeneous soil is proposed by taking into account Mindlin's equation and the equivalent thickness for soil layers in the equivalent elastic method. The difference of lateral behavior between square and circular piles subjected to lateral loads is insignificant. The effect of aspect ratio of the rectangular pile on the lateral behavior is great for the lower stiffness ratio between pile and soil and the larger length–equivalent diameter ratio. The effect of the value of Poisson's ratio of soil on lateral stiffness coefficient is relatively small except Poisson's ratio close to 0.5. The comparison of the results calculated by the current method for a rectangular pile subjected to lateral loads in nonhomogeneous soil has shown good agreement with those obtained from the analytical methods and the finite element method. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

圆回线和矩形回线源瞬变电磁响应差异性计算     

薛俊杰  周楠楠  王贺元 《物探与化探》2018,(1):178-184

在回线源瞬变电磁发展的早期,往往使用圆回线产生的场来近似模拟多边形回线的场。为了对这种近似的影响进行分析,本文以矩形回线为例,对圆回线近似模拟多边形回线的误差进行计算。首先,根据给出的圆回线和矩形回线内外任一点的感生电动势新的计算方法,对两种回线装置内的感生电动势分布进行对比。研究结果表明:在扩散场早期,圆回线和矩形回线场的等值线分布形态存在较大的差别,而在扩散场中晚期,两种回线感生电动势相对误差较小。两种回线感生电动势相对误差的变化特征可以用感应电流烟圈扩散的理论进行解释。通过理论模型的分析可知,圆回线近似矩形回线会对浅层电性结构分析带来较大影响。  相似文献   

由空间直角坐标计算大地坐标的简便公式     

张华海  郑南山  王军  李景芝 《全球定位系统》2002,27(4):9-12

对大地测量教科书中给出的空间三维直角坐标与大地坐标的转换公式进行了大量的计算与分析，总结得出一组由空间直角坐标计算大地坐标的简便公式。  相似文献