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1.
Through an energy formulation and the use of a large deflection theory, it is shown that if a thin plate has a slight initial preform, and if its edges are constrained against in–plane displacements, then all of the natural frequencies of the plate will be shifted upward. For a uniform thin plate, the amount of frequency shift depends on the type of boundary conditions and the ratio of the amplitude of preform to the thickness of the plate. Examples of square and rectangular plates preformed in the shape of their first mode shapes are presented. The method holds the promise of shifting or essentially removing a troublesome vibration mode. 相似文献
2.
岩石圈有效弹性厚度是表征岩石圈力学性质的参数,其反映了岩石圈挠曲变形的特征.本文在传统二维挠曲模型的基础上,提出了适用于俯冲及碰撞带的三维薄板挠曲模型.并发展了基于粒子群算法的俯冲带三维有效弹性厚度反演方法.该方法适用于挠曲参数存在横向差异的俯冲-碰撞带.最后利用该方法反演了马尼拉海沟处岩石圈的有效弹性厚度,结果显示:南海中央海盆岩石圈的有效弹性厚度随着距洋中脊距离的增加而增大;马尼拉海沟轴部弯矩在洋中脊两侧呈分段性变化,这表明南海俯冲板片在深部撕裂可能对浅部的挠曲形态产生影响. 相似文献
3.
根据弹性薄板理论和振动理论,运用边界元法(BEM)分析了薄板弯曲自由振动的频率特性,从薄板自由振动的微分方程式出发,采用动态基本解推导出其相应的边界积分方程式,计算中对边界积分方程进行缩减,应用频率扫描的方法研究薄板的动态特性,准确、有效地得到了其相应的固有频率、给出的数值算例证明了本文的方法简单、可行,且具有良好的解析计算精度。 相似文献
4.
薄砂层厚度预测是油气田勘探开发的难点之一。本文引入线性过渡介质理论,建立更为接近实际的楔状线性过渡介质模型,通过时域理论模型正演及频域响应特征分析,提出利用调谐频率信息预测薄砂层厚度的研究思路,并在实际应用中建立起一套相应的预测流程。实钻验证表明,预测出的薄砂体空间展布范围及厚度与实际情况吻合度较高,该方法具有良好的应用和推广价值。 相似文献
5.
薄钢板剪力墙抗震性能试验研究 总被引：15，自引：6，他引：15
通过4个薄钢板剪力墙和1个钢筋混凝土框架的试验，研究了薄钢板剪力墙在低周往复荷载作用下的刚度、承载力、延性和耗能性能。试验表明，利用薄钢板剪力墙在低周往复荷载作用下的刚度、承载力、延性和耗能性能。试验表明，利用薄钢板剪力墙作为抗侧力构件是可行的。在钢筋混凝土框架中设置薄钢板可有效地增加刚度，承载力和耗能性能。 相似文献
6.
An isoparametric quadrilateral plate bending element is used for the free and forced vibration analysis of both thick and thin plates. Plates of rectangular, circular and triangular planform are analysed and excellent results are obtained. The element performance is assessed by comparison with analytical solutions based on Mindlin's thick plate theory, three-dimensional elasticity solutions and solutions based on thin plate theory. 相似文献
7.
A thin‐profile buckling‐restrained brace (thin‐BRB) consists of a rectangular steel casing and a flat steel core that is parallel to a gusset plate. A thin configuration reduces the width of the restraining member and thus saves usable space in buildings. However, deformable debonding layers, which cover the steel core plate in order to mitigate the difference between the peak tensile and compressive axial forces, provide a space for the steel core to form high mode buckling waves when the thin‐BRB is under compression. The wave crests squeeze the debonding layers and produce outward forces on the inner surface of the restraining member. If the restraining member is too weak in sustaining the outward forces, local bulging failure occurs and the thin‐BRB loses its compression capacity immediately. In order to investigate local bulging behavior, a total of 22 thin‐BRB specimens with a ratio of steel core plate to restraining steel tube depth ranging from 0.3 to 0.7 and axial yield force capacities ranging from 421 kN to 3036 kN were tested by applying either cyclically increasing, decreasing, or constant axial strains. The restraining steel tube widths of all the specimens were smaller than 200 mm and were infilled with mortar with a compressive strength of 97 MPa or 55 MPa. Thirteen of the 22 thin‐BRB specimens' restraining members bulged out when the compressive core strains exceeded 0.03. A seismic design method of the thin‐BRB in preventing local bulging failure is proposed in this study. Test and finite element model (FEM) analysis results suggest that the outward forces can be estimated according to the BRB compressive strength, steel core high mode buckling wavelength, and the debonding layer thickness. In addition, the capacity of the restraining member in resisting the outward forces can be estimated by using the upper bound theory in plastic analysis. Both the FEM analysis and test results indicate that the proposed method is effective in predicting the possibility of local bulging failure. Test results indicate that the proposed design method is conservative for thin‐BRB specimens with a large steel core plate to restraining steel tube depth ratio. This paper concludes with design recommendations for thin‐BRBs for severe seismic services. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
8.
本文基于波动理论,利用深度域相移法对不同互层数、不同单层厚度的等厚薄互层进行正演模拟.采用广义S变换分析零偏移距地震道反射复合波的瞬时频谱.研究发现当单层厚度大于3/16波长时,等厚薄互层时域特征为中、高频等幅振荡,瞬时频谱为与单层厚度成反比的单一峰值梳状函数;当单层厚度小于3/16波长时,震源子波的有限带宽对瞬时频谱的高频频率峰有压制作用,导致等厚薄互层中部的时域振幅和频域最大幅度均为低值,薄互层的结构特征不易分辨,说明宽高频的震源子波是提高薄互层分辨能力的关键.此外,理论推导和实验分析均证明:当地层厚度大于1/8波长时,其峰值频率与薄互层单层厚度存在定量解析关系,这为等厚薄互层单层厚度定量预测提供了重要的技术手段. 相似文献
9.
J.G. Caldwell W.F. Haxby D.E. Karig D.L. Turcotte 《Earth and Planetary Science Letters》1976,31(2):239-246
Using thin elastic plate theory and neglecting horizontal applied forces, a universal deflection profile applicable to many oceanic trenches is derived. This theoretical profile is compared with bathymetric profiles from the central Aleutian, Kuril, Bonin, and Mariana trench-outer rise regions. The profiles were corrected for sediment thickness and age variation of the lithosphere. Good agreement between theory and observation is found. The distance from the first point of zero deflection seaward of the trench to the point of maximum height of the outer rise is directly related to the flexural rigidity of the lithosphere. The thickness of the elastic lithosphere is found to vary between 20 and 29 km for the trench profiles considered. The good agreement obtained shows that horizontal forces may be neglected and that the bending lithosphere behaves elastically in the cases considered. The analysis shows that only unreasonably large horizontal forces would affect the universal deflection curve. It is concluded that although the near-surface lithosphere may be subject to brittle fracture, the deeper lithosphere is capable of transmitting elastic stresses as high as 9 kbar. 相似文献
10.
在吸收前人提出的导电薄板等效电流回路模型概念的基础上,应用普通电磁学理论对其瞬变电磁法的过程作了完整的论述,并得到清晰明确的数学表达式,同时指出一次场关断时间与观测异常幅值的关系.在重叠回线装置下,模型解可进一步被简化.通过实例的具体数值计算过程,证明该简化模型为重叠回线装置下有限薄板类地质体瞬变电磁的定量分析提供了一个简捷有效的途径. 相似文献
11.
Yajuvindra Kumar 《地震工程与工程振动(英文版)》2012,11(2):273-280
This paper addresses the free transverse vibrations of thin simply supported nonhomogeneous isotropic rectangular plates of bilinearly varying thickness with elastically restrained edges against rotati... 相似文献
12.
本文以非线性地震层状构造理论为基础,对薄层分辨率进行了研究,研究中采用理论计算和合成地震记录,并用超声地震模型试验加以验证。结果表明,薄层可检测性准则,应是它的复合反射波的振幅不小于围岩中较强反射波的振幅。由Farr提出的可检测薄层的极限厚度为λ/12（λ为薄层中地震波波长）,是在薄层顶、底界面反射系数很小时的近似值。指出,当薄层顶、底界面反射系数较大时,如煤层,其可检测性高于Farr定义,且随界面反射系数的增大或频率的提高而提高;适当地提高地震反射波的频率,就能得到厚2-3m薄煤层的大振幅、高信噪比的反射波。上述结论均用煤田地震勘探实例证实。 相似文献
13.
D. K. Wagh 《Pure and Applied Geophysics》1972,99(1):49-54
Summary Cauchy theory of initial stress has been applied to investigate the problem of SH waves in an initialy stressed elastic plate. The initial stress is assumed to be a uniform tension or compression along the thickness of the plate. It is found that the initial stress influences the velocities of the dispersive modes only but, it has no influence on the velocity of the non-dispersive wave. 相似文献
14.
复合式多层无孔和开孔矩形薄板是桥梁结构和建筑等结构中的最重要的组成部分。当研究它们的振动问题时,用解析法求解自振频率十分困难,而采用通用的有限元法求解自由度数目多,收敛也比较慢。本文利用三角形薄板广义协调元分析了复合式多层四边简支、四边固定无孔和开孔矩形薄板的自由振动,求出了前几阶频率系数,其结果与用ANSYS软件算出的结果基本接近,当为单层无孔和开孔板时,与文献[8]的结果完全相同,且与文献[10]的解析解吻合较好,证明了本文理论推导及程序编制的正确性,表明广义协调元与有限元相比具有自由度少、精度高、程序简便以及收敛快等优点。 相似文献
15.
This study examines the flexural-gravity wave scattering by a semi-circular ridge submerged in the ocean covered by a thin ice sheet. The ice sheet is treated as an elastic plate and its deflection is modelled using the Euler-Bernoulli beam equation. The fluid motion is described by linear potential theory. The series solutions of velocity potentials for obliquely and normally incident waves are both developed using multipole expansions. The unknowns in the series solutions are determined in terms of the impermeable condition on the ridge surface. Accurate results for the reflection and transmission coefficients of ridge and the deflection of ice sheet are presented. The effects of ridge radius, ice thickness, wave frequency and wave incident angle on the hydrodynamic quantities are shown. 相似文献
16.
综合地震层析成像与重磁数据的处理结果,选择26°N～36°N,120°E～130°E的范围作为研究区,讨论了黄、东海研究区的深部结构特点及其与周边各地质单元的相互关系,完成了研究区两条剖面的密度结构反演,认为东海陆架地区地壳厚度变化与大陆地区相比并不明显,显著减薄开始于冲绳海槽地区,中地壳消失;琉球岛弧处地壳厚度明显再度增加,特别是上地壳的厚度增加最大,推断其原因应与俯冲作用及俯冲带附近板块与地幔的运动速率之差有关.地球物理场“东西分带”是黄海—东海地区壳内结构从西向东变化的反映,但随着深度的增加,研究区的岩石层结构出现以近EW向为优势的构造格局.因此推断深部近EW向的异常是三叠纪时期南北板块碰撞、挤压所致,浅部的NE向条带异常是后期构造运动在岩石层较浅部位构造效应的反映.黄海—东海地区岩石层结构存在浅部与深部优势构造方向不协调的现象.层析成像结果证实了南黄海东缘断层的存在,还勾绘出绍兴—十万大山碰撞带为以40°左右的倾角向NW方向倾斜的高速带,另一条倾向基本相同的高速带则是南、北扬子块体结合带在深部的反映. 相似文献
17.
几乎所有大陆岩石层的减薄现象,可能都与海洋板块的俯冲作用相关,但是两者之间的内在联系迄今仍不十分明确,为此,我们设计了一系列包含洋-陆俯冲系统的二维数值模型,来探讨海洋板块的俯冲作用对上覆大陆岩石层变形行为的影响,尤其对大陆岩石层减薄效应的制约.模型结果表明,海洋板块俯冲过程中的地幔楔熔体对大陆岩石层地幔的热侵蚀以及由熔体上升所诱发的地幔局部对流的强烈扰动会导致上覆大陆岩石层的减薄效应.这种效应不仅表现在横向上的向陆内蔓延,还表现在垂向上的向浅部发展.且多类动力学参数都能制约大陆岩石层的减薄效应.具体地,随着汇聚速率和洋壳厚度的增加,上覆大陆岩石层在横向上的减薄范围越大,在垂向上的减薄程度也越深;而随着俯冲海洋板块年龄的增加,上覆大陆岩石层在横向上的减薄范围增大,但在垂向上的减薄程度会减小;随着上覆大陆岩石层厚度的增加,其横向减薄范围会减小,但在垂向上的减薄程度会加深.本文研究成果能为揭示华北克拉通减薄/破坏的动力学过程提供一定的理论参考依据. 相似文献
18.
Teh Hwei Lee 《地震工程与结构动力学》1979,7(3):235-251
Dynamic response of a thick, horizontal, circular plate supporting a large number of slender rods subjected to uniform boundary motion in the vertical direction has been studied by synthesizing component modes of continuous substructures. The excitation considered corresponds to the vertical component of boundary movement produced by earthquake disturbances and the axisymmetric response problem was solved. Mindlin theory was used to formulate the component equations of the plate which is treated as the main component in a modal synthesis technique. The slender rods, which are attached vertically to the plate, are handled as branch components. Vibration modes of a classical thin plate were used as the initial displacement functions for the Mindlin plate. These functions were subsequently modified by a component mode improvement process to obtain plate modes. System modes were generated by combining the improved plate modes with component modes of rods. Numerical results for the natural frequencies and time-history response of the coupled system are compared with those given by a three-dimensional finite element method. 相似文献
19.
S. Mohapatra 《地球物理与天体物理流体动力学》2013,107(5):347-374
Scattering of oblique incident waves by small bottom undulation in a two-layer fluid, where the upper layer has a thin ice-cover while the lower one has the undulation, is investigated within the framework of linearized water wave theory. The ice-cover is being modeled as an elastic plate of very small thickness. There exist two modes of time-harmonic waves–one with lower wave number propagating along the ice-cover (ice-cover mode) and the other with higher wave number along the interface (interfacial mode). A perturbation analysis is employed to solve the corresponding boundary value problem governed by modified Helmholtz equation and thereby evaluating the reflection and transmission coefficients approximately up to first order for both modes. A patch of sinusoidal ripples, having two different wave numbers over two consecutive stretches, is considered as an example and the related coefficients are determined. It is observed that when the wave is incident on the ice-cover surface we always find energy transfer to the interface, but for interfacial incident waves there are parameter ranges for which no energy transfer to the ice-cover surface is possible. Also it is observed that for small angles of incidence, the reflected energy is more as compared to the other angles of incidence. These results are demonstrated in graphical form. From the derived results, the solutions for problems with free surface can be obtained as particular cases. 相似文献
20.
Peter R. Vogt 《Earth and Planetary Science Letters》1974,23(3):337-348
When the height of major young oceanic volcanoes above the basaltic basement are corrected for the buoyancy of their submerged bases, the heights are shown to increase as the square root of basement age. This is compatible with an isostatic model for the height of the magma in the volcanic conduit: As plates thicken with increasing age, the length of magma columns in isostatic equilibrium with the adjacent plate also increases. Volcano height is therefore primarily limited by plate thickness rather than, for example, the speed of a plate over a hot spot or the hot spot's productivity. 相似文献