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1.
INTRODUCTION An important problem in foundation engineeringis the determination of the rate of settlement of a raftfoundation placed on a deep clay layer. Gibson andMcNamee (1957), and McNamee and Gibson (1960a;1960b) considered the problem of normal uniformloading applied to the surface of a half-space andshowed that one-dimensional theory gives a markedunderestimate of the rate of settlement. This theorycorresponds to the case of a perfectly flexible footing.However, it is often… 相似文献
2.
Stable response of axisymmetric two-phase water-saturated soil 总被引：1，自引：0，他引：1
Biot's dynamic consolidation equations and Hankel transform were used to derive the integral solutions of stress and displacement for axisymmetric harmonic excitations in the two-phase saturated soil with subjacent rock-stratum. The influence of the coefficient of permeability and loading frequency on the soil displacement at the ground surface were studied. The results showed that higher loading frequency led to more dynamic characteristics; and that the effect of the soil permeability was more obvious at higher frequencies. 相似文献
3.
Biot's dynamic consolidation equations and Hankel transform were used to derive the integral solutions of stress and displacement for axisymmetric harmonic excitations in the two-phase saturated soil with subjacent rock-stratum. The influence of the coefficient of permeability and loading frequency on the soil displacement at the ground surface were studied. The results showed that higher loading frequency led to more dynamic characteristics; and that the effect of the soil permeability was more obvious at higher frequencies. 相似文献
4.
SH波在正交各向异性功能梯度材料直裂纹处的散射 总被引：2，自引：0，他引：2
研究了正交各向异性功能梯度材料中直裂纹对SH波的散射问题,材料两个方向的剪切模量和密度假定为指数模型,通过积分变换-积分方程方法,建立数学模型,化为对偶积分方程,用Copson方法求解对偶积分方程,最后得到动应力强度因子,并且给出了数值算例,讨论了在SH波作用下,裂纹尖端的动应力强度因子与入射波的频率,入射角的关系． 相似文献
5.
陈耀庚 《咸阳师范学院学报》2011,26(6)
从功能梯度材料的弹性理论出发,首先推导出梯度材料在不同边界条件下的状态方程,进而使用Fourier变换技术将含裂纹弹性材料与梯度材料粘接的接触问题转化为边值问题,建立起该数学模型。构造带技巧性的积分变换方法将混合边值问题化为奇异积分方程,并利用Gauss—Chebyshev积分公式将奇异积分方程离散为计算机可实现的代数方程组,编制计算机程序并上机调试,得出数值模拟结果。 相似文献
6.
为了减少预修正快速傅立叶变换算法(P-FFT)或拟合格林函数快速傅立叶变换算法(FG-FFT)的稀疏系数矩阵所需的存储空间,通过改进系数方程的求解方法,获得实系数解.并将改进的求解方法与P-FFT和FG-FF相结合用于计算电场积分方程.所提方案将P-FFT/FG-FFT的稀疏系数矩阵的存储量降到自适应积分方法(AIM)/积分方程快速傅立叶变换算法(IE-FFT)相同水平的同时,未增加矩阵向量积所需FFT的次数,并保持原有算法的精度水平.此外,在每次迭代的时间耗费方面,新方案与AIM/IE-FFT相当.数值实验证实了新方案的上述优点. 相似文献
7.
INTRODUCTION Cracks are likely to occur on the interfaces of coated materials widely applied in engineering. It is important to detect the interface cracks by non-destructive means. Detecting the scattered waves induced by interfacial cracks by using ultrasonic technique can be considered as one of the most fea- sible methods. This paper focuses on the theoretical basis for the study of wave scattering induced by interfacial cracks. In the last two decades, there has been a large number o… 相似文献
8.
In this paper, the steady-state response of a saturated half-space with an overlying dry layer subjected to a moving rectangular
load is investigated. The governing partial differential equations are solved using the Fourier transform. The solutions in
time-space domain are expressed in terms of infinite Fourier type integrals, which can be evaluated only by numerical quadrature.
Numerical results show that the influence of a drained or undrained interface on the response is related to the permeability
of the underlying saturated soil. Moreover, the effect due to the upper dry layer is associated with the thickness of the
layer. 相似文献
9.
周春梅 《宁夏师范学院学报》2014,35(3):10-15
分析了SH波在功能梯度压电带拼接半无限大压电材料中共线双裂纹处的散射,基于功能梯度压电材料参数指数模型,在裂纹面电渗透性边界条件下,利用Fourier积分变换将问题转化成对偶积分方程,并利用Copson方法对问题进行了求解,最后通过数值算例表明了右裂纹尖端的动应力强度因子受波数和梯度参数的影响情况. 相似文献
10.
黄上恒 《商丘师范学院学报》2000,16(4):36-38
研究了同时处于机械与电学载荷之下的压电陶瓷柱体表面裂纹前缘的应力场和电位移场。求得了应力及电位移的奇异性阶数和相应的两个强度因子。 相似文献
11.
Methane gas extraction by a deep well installed in methane hydrate bearing sediments (MHBS) found in deep subsea and permafrost regions is a coupled thermal–hydraulic–mechanical–chemical (THMC) process. The key processes include heat convection between layers, local deformation due to compaction, and stress relaxation caused by damage of the bonded structure. As improper production may induce formation compaction, sand production, and wellbore failures, a numerical code is needed to simulate the THMC processes during methane gas production so that geomechanics and production risks can be quantified. In this study, a nonlinear THMC model was implemented in the partial differential equations (PDE) and structural mechanics module of the COMSOL Multiphysics® finite element code. This paper describes the non-linear coupled governing equations of the mechanical behavior during hydrate dissociation. In particular, it introduces a new thermodynamics-based constitutive model to simulate the mechanical behavior of hydrate bearing sediments. The performance of the newly developed code was examined by comparing the computed results with test data and other simulation results. The differences between fully coupled and semi-coupled models were analyzed. For example, heterogeneous turbidite layers observed in the Nankai Trough were modeled, and behaviors such as heat convection between different layers, shear stress and strain concentration were examined. 相似文献
12.
郑云英 《淮南师范学院学报》2007,9(3):93-95
文章主要讨论了自由边界上平面横波的反射问题,得到了非均匀反射横波的波速、反射系数、衰减率等物理量的解析表达式。数值结果揭示了入射横波的频率、孔隙流体与固相骨架的耦合系数和固相骨架粘性等对波速、衰减率等物理量的影响。 相似文献
13.
研究目的：求斛双圆盘转了-密封系统的非线性振动特性和运动响应 创新要点：采用有限元法（FEM）和拉格朗目方程求解双圆盘转子-密封系统,进而为研究多级转了系统的非线性振动问题提供有效方法。研究方法：基于有限元法（FEM）和拉格朗目方程。同时利用四阶龙格-库塔法求解系统动特性运动响应情况,利用风岔图、时间历程图、轴心轨迹图、庞加莱映射和幅值谱等分析图研究双圆盘转子-密封系统的非线性振动特性。重要结论：随着转速的增大,双圆盘转子-密封系统呈现丰富的非线性运动形式,包括周期性运动、多周期运动,准周期运动以及混沌运动。在右端圆盘不平衡质量小于34kg、密封间隙范围为0.376mm-0.54mm、密封长度大于0.13m或者密封压差高于0.104MPa的情况下均有利于提高双圆盘转子-密封系统的稳定性。 相似文献
14.
Ghulam Qasim Mehboob ur Rehman A. Kareem . School of Communication Information Engineering Shanghai University Shanghai China . Gomal University D.I.Kham Pakistan 《上海大学学报(英文版)》2000,4(1):27-30
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15.
时间分数阶偏微分方程的基本解 总被引：1，自引：0，他引：1
利用傅立叶变换和拉普拉斯变换推导出空间全平面内的时间分数阶偏微分方程的基本解(格林函数)。此基本解的表达式可通过适当的变形求出。该方法也可用于求解相应的整数阶偏微分方程基本解。 相似文献
16.
《天津大学学报(英文版)》2015,(4)
The stability and local bifurcation of the lateral parameter-excited resonance of pipes induced by the pulsating fluid velocity and thermal load are studied. A mathematical model for a simply supported pipe is developed according to Hamilton principle. The Galerkin method is adopted to discretize the partial differential equations to the ordinary differential equations. The method of multiple scales and the singularity theory are utilized to analyze the stability and bifurcation of the trivial and non-trivial solutions. The transition sets and bifurcation diagrams are obtained both in the unfolding parameter space and physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and verify the stability and local bifurcation analyses. The critical thermal rates are obtained both by the numerical simulation and the local bifurcation analysis. The natural frequency of lateral vibration decreases as the mean fluid velocity or the thermal rate increases according to the numerical results. The present work can provide valuable information for the design of the pipeline and controllers to prevent structural instability. 相似文献
17.
目前对于分数阶微分方程的解析解的求法就较为单一,主要采用拉普拉斯变换及其逆变换来求.对于Caputo型分数阶导数积分下限a=-∞时,指数函数f（t）=en和常数函数f（t）=C的分数阶导数与整数阶导数相类似的.部分分数阶常微分方程也可以用特征根的方法求得通解,但分数阶常微分方程与一般微分方程的通解中相互独立的任意常数个数却有很多不同. 相似文献
18.
Self mixinginterferenceeffectshavebeenwidelystudied[1— 12 ] ,mostofwhichareconductedonsinglemodelasers.Wang[10 ] andYoshitada[11] reportedstudiesonmulti modesemiconductorlasersin 1993and 1994re spectively .Buttoourknowledge ,fewmodelsonLDpumpedmulti modesolid statelaserhavebeenreported .1 Basictheoryandgeneralmodel Theprincipleofself mixinginterferenceeffectsisexplainedasanexternalopticalfeedbackeffect[9] .Thege neralmodelisshowninFig .1,LcandLextstandforthelengthofthecavityandtheexter… 相似文献
19.
在断裂力学和热弹性动力学中，常常会出现含复指数函数对偶积分方程的求解，此类方程不能直接用Copson-Sih方法求解。文中基于Copson—Sih方法，证明了含余弦函数的对偶积分方程可化为第二类Fred—holm积分方程进行数值求解。利用欧拉公式，可将含复指数函数的对偶积分方程为含正余弦函数的对偶积分方程，进一步可转化为第二类Fredholm积分方程进行数值求解。最后给出了含余弦函数对偶积分方程的数值算例。 相似文献
20.
A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was pro- posed. The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double-layer spring-damping elements. The general dynamic displacement response induced by the moving loads along the curve on the elastic semi-infinite space was firstly obtained in the frequency domain, according to the Duhamel integral and the dynamic reciprocity theorem. In the case of the periodic curved track structure subjected to moving loads, the dynamic displacement equation was simplified into a form of summation within the basic track cell instead of the integral. The transfer function for the curved track was expressed in the form of a transfer matrix. Single and series moving loads were involved in the calculation program. For the verification of the analytical model, the mid-span vertical deflection of a simply support curved beam subjected to moving load was recalculated and compared with the same case in the reference. The research results indicate that： under the same moving loads, the displacement response of the curved track decreases slightly with the increasing track radius, and the displacement response of the curved track with the radius greater than or equal to 600 m is almost equivalent to the displacement response of the straight track; the frequency spectrum of the curved track is more abundant than that of the straight track, which may result in more wheel-rail resonance and rail corrugation in the curved lines. 相似文献