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1.
This paper discusses the application of the boundary contour method for resolving plate bending problems. The exploitation
of the integrand divergence free property of the plate bending boundary integral equation based on the Kirchhoff hypothesis
and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation
of bending potential functions on the discretized boundary points, even for curved surface elements of arbitrary shape. Singularity
and treatment of the discontinued corner point are not needed at all. The evaluation of the physics variant at internal points
is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical
and previous solutions.
Project(No: ZE0208) supported by the National Science Foundation of Zhejiang Province, China 相似文献
2.
本文将功的互等定理应用于形状、大小和材料均相同又处于真实状态的两个薄板系统之间，得出了纵横载荷联合作用下弯曲薄板的功的互等定理，并给出了简洁的数学表达式。该式既可以用于横向载荷作用下弯曲薄板问题的求解，又可以用于薄板稳定问题的求解。定理推导过程中没有对薄板的形状和边界条件加以限制，因而使该定理具有较广的适用范围。 相似文献
3.
Pure bending of simply supported circular plate of transversely isotropic functionally graded material 总被引：3，自引：0，他引：3
LI Xiang-yu DING Hao-jiang CHEN Wei-qiu 《浙江大学学报(A卷英文版)》2006,7(8):1324-1328
INTRODUCTION In recent years, functionally graded materials (FGMs) have attracted more and more attention. Due to their continuously varying material properties in space on the macroscopic scale, FGMs, therefore, are usually superior to conventional fiber-matrix materi-als in mechanical behavior, especially for perform-ance under thermal loading. Now FGMs have been widely used in various fields including electronics, chemistry, optics, biomedicine, etc. Heretofore, volumes of literatu… 相似文献
4.
根据零件表面的数字化数据提取零件表面的边界是反求工程的关键步骤.针对完全散乱的、无组织的"点云"数据,首先,利用网格法得到边界网孔和非边界网孔,把所有相邻的边界网孔相互连接起来,得到边界网孔环;把边界网孔环中每个边界网孔的最小凸边求出来就得到一段边界线,把各个分段的边界线连接起来就得到初始边界线,然后利用B样条技术对边界线进行光顺处理,得到理想的曲面边界.实践证明,通过该方法得到的边界曲线能满足工程应用的需要. 相似文献
5.
付宝连 《邢台职业技术学院学报》2003,20(1):1-10
本文建立了弹性力学空间问题混合变量的最小势能原理和最小余能原理，并根据该最小势能原理给出了弯曲薄板混合变量的最小势能原理。应用该势能原理计算了一复杂边界条件矩形板的弯曲。 相似文献
6.
Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach 总被引：1，自引：0，他引：1
LU Chao-feng LIM C.W. XU Feng 《浙江大学学报(A卷英文版)》2007,8(11):1740-1745
Semi-analytical elasticity solutions for bending of angle-ply laminates in cylindrical bending are presented using the state-space-based differential quadrature method (SSDQM). Partial differential state equation is derived from the basic equations of elasticity based on the state space concept. Then, the differential quadrature (DQ) technique is introduced to discretize the longitu- dinal domain of the plate so that a series of ordinary differential state equations are obtained at the discrete points. Meanwhile, the edge constrained conditions are handled directly using the stress and displacement components without the Saint-Venant principle. The thickness domain is solved analytically based on the state space formalism along with the continuity conditions at interfaces. The present method is validated by comparing the results to the exact solutions of Pagano’s problem. Numerical results for fully clamped thick laminates are presented, and the influences of ply angle on stress distributions are discussed. 相似文献
7.
SRITHAR K. MANI A 《浙江大学学报(A卷英文版)》2006,7(11):1870-1877
INTRODUCTION The tannery effluent (soak liquor) spewed out by tanneries to the surroundings has been polluting the land and water bodies in and around the tanneries and is evaporated over a period of time. The rate of evaporation over this period is small in the natural evaporative ponds and so large area is required. But land in urban and semi-urban sectors is scarce and very costly. Hence, it is required to augment the evaporation rate by adopting some suitable techniques. The rate of e… 相似文献
8.
This paper points out that globalization has raised fundamental questions about knowing and learning and that it is essential for educators to engage in collective knowledge generation by crossing community boundaries. Drawing on the theoretical framework of Activity Theory, this paper reports on a study on the expansive learning that was afforded by a school–university partnership as university tutors, mentor teachers and student teachers engaged in a new activity system mediated by lesson study. The study showed that in the course of resolving contradictions that were inherent in the boundary zone, they negotiated the mediating tool and consequently, the activity system was transformed from helping student teachers learn to teach into learning for all participants. This paper concludes that it is essential for teachers and teacher educators to develop the capability to engage in expansive learning through tackling ill-defined problems in boundary zones. 相似文献
9.
陈辉华 《宁波职业技术学院学报》2014,(6):86-90
为了避免数控折弯机加工板材工件时的表面压痕发生,实验中从板材工件的折弯方式、材料硬度、凹模结构、选择机床与模具的精度4个方面来分析板材工件折弯时的产生表面压痕的原因。结果表明,通过使用防压痕胶垫、单V凹模防压痕胶套、块状优力胶＋AT垫衬、硬质橡胶凹模和无压痕折弯凹模的方法来解决数控折弯时工件表面的压痕,达到产品质量要求。 相似文献
10.
主要研究了一类变系数二阶非线性常微分方程的边界层问题。先确定边界层的位置,然后用匹配渐近展开法来求得该问题的一阶近似解。 相似文献
11.
Zhao Qi 《上海大学学报(英文版)》1998,2(1):35-39
ＤｙｎａｍｉｃａｌＳｔａｂｉｌｉｔｙｏｆＦｉｎｉｔｅＡｎｉｓｏｔｒｏｐｉｃＰａｎｅｌｓｗｉｔｈＥｌｉｐｔｉｃａｌＣｕｔｏｕｔｓａｎｄＣｒａｃｋｓＺｈａｏＱｉ（ＳｈａｎｇｈａｉＩｎｓｔ．ｏｆＡｐｐｌｉｅｄＭａｔｈ．＆Ｍｅｃｈ．）ＡｂｓｔｒａｃｔＡｎａｐ... 相似文献
12.
The concept of eigen crack opening displacement (COD) can be defined as the COD of a crack in infinite plate under the tractions acting on the crack surface. By introducing this concept, the eigen COD formulation of boundary integral equation is proposed in this paper, together with the solution procedures for multiple crack problems in plane elasticity. With the proposed approach, the multiple crack problems can be solved with the conventional displacement discontinuity boundary integral equations in an it... 相似文献
13.
ZHUJialin ZHANGTaiping 《重庆大学学报(英文版)》2002,1(1):47-52
A boundary element method based on non-overlapping domain decomposition method to solve the time-dependent diffusion equations is presented.The time-dependent fundamental solution is used in the formulation of boundary integrals and the time integratioin process always restarts from the initial time condition.The process of replacing the interface values,which needs a summation of boundary integrals related to the boundary values at previous time steps can be treated in parallel parallel iterative procedure,Numerical experiments demonstrate that the implementation of the present alogrithm is efficient. 相似文献
14.
Based on the theory of porous media, the quasi-static and dynamical bending of a cantilever poroelastic beam subjected to a step load at its free end is investigated, and the influences of its permeability on bending deformation is examined.The initial boundary value problems for dynamical and quasi-static responses are solved with the Laplace transform technique,and the deflections, the bending moments of the solid skeleton and the equivalent couples of the pore fluid pressure are shown in figures. It is shown that the dynamical and quasi-static behavior of the saturated poroelastic beam depends closely on the permeability conditions at the beam ends. Under the different permeability conditions, the deflections of the beam may oscillate or not. The Mandel-Cryer effect also exists in liquid-saturated poroelastic beams. 相似文献
15.
ALSHOAIBI Abdulnaser M HADI M.S.A ARIFFIN A.K. 《浙江大学学报(A卷英文版)》2007,8(2):228-236
INTRODUCTION The finite element method (FEM) has proved to be very well suited for the study of fracture mechanics. Nevertheless, modelling the propagation of a crack through a finite element mesh turns out to be difficult because of the modification of the mesh topology. Use of crack propagation laws based on stress inten-sity factor range is the most successful engineering application of fracture mechanics. The stress intensity factors are a very important parameter in fracture analys… 相似文献
16.
Kusala Rajendran 《Resonance》2018,23(3):337-353
Earthquakes occur as the natural outcome of the processes that govern a dynamic planet, one that supports plate motions. The internal structure of the Earth that can sustain the convective -ow of the mantle and the presence of a strong, fractured outer shell, the lithosphere that can glide over the underlying asthenosphere are important components of the plate tectonic framework, and therefore, the global distribution of earthquakes. With an introduction to the ideas of plate tectonics and earthquake terminology, this article introduces the significance of the India-Eurasia plate boundary and its seismic productivity. The most active continent-continent collision boundary on the Earth defined by the Himalaya and the Andaman-Sumatra subduction zone are part of this plate boundary. Parts of the Indian continental interior regions are also noted for some destructive earthquakes. This article provides a brief overview of the background processes, terminology, and some highlights on Indian earthquakes studies, and points to academic opportunities in the area of earthquake studies. 相似文献
17.
舒小昀 《湖南科技学院学报》2007,28(11):127-129
人类的物质需求归根到底是一种能量需求。工业革命使人类从利用有机能源跃进到利用无机能源。西欧依靠使用千百年累积起来的能源走出了17世纪危机的困境,北海油气资源的开发成为20世纪西欧复兴的一种自然因素。北海沿岸国家社会经济对北海资源具有很大的依赖性,北海油气资源的占有和使用变成一个人们不得不关注的现实问题。北海丰富的资源和周边国家之间的协议为北海资源开发创造了条件。 相似文献
18.
经济学对企业边界决定的回答是不完全的。由于资本、环境等客观现象必须通过信息表达, 信息因而成为整合决定企业边界的各种因素的有效途径。因此, 在信息视角下, 企业就是一个信息获取、处理和使用的机制, 企业的边界是由企业的信息能力大小决定的。 相似文献
19.
提出了用有限元-边界元法计算三维电磁场感应问题. 首先阐述了棱边单元法的基本性质, 并且根据基函数的几何平面特性推导出对于任意位置面的表面棱边单元法基本公式, 然后用棱边单元法离散数学模型. 用此方法模拟地下金属军事目标的电磁响应, 计算了目标的最低谐振频率及表面电流密度, 和单一目标的频率特性及位移特性, 计算结果和实验结果一致, 因此这种数值方法对计算三维电磁场问题行之有效. 相似文献
20.
应用锥上不动点定理,研究具有P-Laplacian算子的时滞微分方程边值问题正解的存在性,利用新的分析技巧建立了其至少存在一个正解的充分条件。所研究的具有P-Laplacian算子的微分方程边值问题中含有滞量,因此所得结果具有重要的实际意义。 相似文献