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提出一种新的基于能量非局部模型的应变梯度理论,并应用此理论对多晶铜以及薄膜基底的微压痕硬度进行理论预测和数值分析. 首先,提出了能量非局部模型,并由此模型,得出新应变梯度理论的本构关系;其次,由变分原理,得出相应的有限元公式;再次,给出了微压痕硬度的有限元分析方法;最后,将该理论预测结果与经典理论预测结果以及实验结果进行了对比. 结果表明,计算结果与实验结果相符;而经典理论的预测结果远低于实验结果. 相似文献
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1,引言Russell的实验基本理论结果2、Boussinesq理论3、Korteweg-deVries理论Korteveg-deVries方程稳定性 相似文献
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平板边界层流的非平行性对流动稳定性的影响 总被引:1,自引:0,他引:1
平板边界层流的非平行性对流动稳定性的影响,虽经多人研究,而且有的文中所给理论结果似已与实验结果相符,但实际问题并未解决。本文重新用两种不同方法研究了这一问题,并分析了有关文献中存在的问题。结果证明,若只限于在线性理论范围内考虑问题,理论结果与实验结果仍有显著差距。前人文中所给的理论实验看来完全相符的结果,实际是不对的。 相似文献
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大展弦比后掠机翼静气弹效应对气动载荷的影响实验与分析 总被引:1,自引:0,他引:1
通过实验与理论分析结合的方法,针对静气弹效应对大展弦比后掠机翼气动载荷影响的问题进行了研究。加工了三副刚度各不相同的机翼,在一系列工况中进行风洞实验,对各个模型的气动载荷进行测量,通过对比可以得到机翼弹性对气动载荷的影响量。在理论分析中通过工程梁理论计算弹性机翼变形,通过升力面理论计算弹性变形引起的气动力增量,在二者之间迭代收敛后得到机翼弹性对气动载荷的影响量,并将其与实验结果进行对比。对比结果表明理论分析和实验吻合程度较好,表明了在机翼气动载荷计算中计入静气弹效应后,大展弦比后掠机翼的弯矩会有显著的降低,对于减轻结构重量有重要的意义。 相似文献
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深水钢悬链线立管触地区疲劳实验系统设计 总被引:2,自引:0,他引:2
深水钢悬链线立管(steel catenary riser, SCR)触地区易发生疲劳破坏, 且疲劳寿命预测问题是
目前理论计算与数值分析的难点, 通过实验能更好地促进理论和数值研究. 因此在相关理论
研究基础上, 设计一套SCR触地区疲劳实验系统, 模拟实际工作状况, 考虑张力、弯曲、内
外压与管土相互作用等因素的变化组合. 该实验系统为以后开展深水立管疲劳实验、研究SCR
触地区疲劳破坏机理以及准确预测SCR触地区的疲劳寿命奠定基础. 相似文献
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保守体系的微分方程可用Hamilton体系的方法描述,其特点是保辛。两个辛矩阵之和不能保辛,两个辛矩阵的乘积仍是辛矩阵。最常用的小参数摄动法用的是加法,因此对辛矩阵不能保辛。从保辛的角度,要用正则变换。本文针对非线性微分方程,运用自变量坐标变换,对原系统进行变换。由此推导出变换后系统的变分原理。引入Hamilton对偶变量,通过数学变换,得到变系数非线性方程。针对该方程,本文提出了保辛摄动算法。通过数值算例,对不同步长下,保辛摄动法、多尺度摄动法、龙格库塔法和精确解的结果做了比较。数值例题表明,对于非线性方程,本文提出的保辛摄动算法有良好的精度。在步长增大的情况下,保辛摄动保持了良好的稳定性。 相似文献
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力学中的Hamilton体系采用对偶变量描述问题。电磁场采用电场和磁场两类变量描述问题。将力学中的Hamilton体系引入到电磁场问题中,电场变量和磁场变量构成对偶变量,把频域电磁场的基本方程导向对偶方程形式,建立电磁场有限元所需的对偶变量变分原理,由此推导出电磁对偶有限元。将电磁对偶有限元应用于电磁波导计算中,可确定电磁波导的传播常数。文中给出了用电磁对偶有限元方法,计算矩形波导不同模式对应的传播常数的数值计算结果。 相似文献
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E. MAGNUCKA-BLANDZI K. WISNIEWSKA-MLECZKO M. J. SMYCZYNSKI P. KEDZIA 《应用数学和力学(英文版)》2018,39(7):981-992
This paper is devoted to analytical and numerical studies of global buckling of a sandwich circular plate. The mechanical properties of the plate core vary along its thickness, remaining constant in the facings. The middle surface of the plate is its symmetrical plane. The mathematical model of the plate is presented. The field of displacements is formulated using the proposed nonlinear hypothesis that generalizes the classical hypotheses. The equations of equilibrium are formulated based on the principle of stationary total potential energy. The proposed mathematical model of the displacements considers the shear effect. The numerical model of the plate is also formulated with a view to verify the analytical one. Numerical calculations are carried out for the chosen family of plates. The values of the critical load obtained by the analytical and numerical methods are compared. The effects of the material properties of the core and the change of the plate radius on the critical load intensity are presented. 相似文献
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B. Kh. Eshmatov 《Nonlinear dynamics》2007,50(1-2):353-361
The vibration problem of a viscoelastic cylindrical shell is studied in a geometrically nonlinear formulation using the refined
Timoshenko theory. The problem is solved by the Bubnov–Galerkin procedure combined with a numerical method based on quadrature
formulas. The choice of relaxation kernels is substantiated for solving dynamic problems of viscoelastic systems. The numerical
convergence of the Bubnov–Galerkin procedure is examined. The effect of viscoelastic properties of the material on the response
of the cylindrical shell is discussed. The results obtained by various theories are compared. 相似文献
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修正的拉应力裂纹扩展准则及裂隙\=水压对裂纹扩展的影响 总被引:2,自引:0,他引:2
对脆性材料的第一主应力--拉应力裂纹扩展准则进行了补充和修正,修正的裂纹扩展准则能确定裂纹扩展步长.以平面斜置裂纹扩展为例,利用无网格Galerkin方法,对不含裂隙水压的二维裂纹扩展进行数值模拟,计算结果与试验结果一致,表明最大周向拉应力准则的正确性.在不同裂隙水压条件下,研究了二维裂纹初始破裂,并在给定水压下对二维裂纹扩展路径进行了数值模拟跟踪.结果表明裂隙水压对裂纹初始破裂方向、破裂步长、破裂载荷和裂隙岩体破裂强度有显著影响.有水压和无水压的扩展迹线不同,但后续的扩展趋势相同. 相似文献
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Capillary pressure curves of six low porosity and low permeability core samples from The Geysers geothermal field were measured
using the mercury-intrusion approach to characterize the heterogeneity of rock. One high permeability Berea sandstone core
sample was analyzed similarly, for comparison. The maximum pressure of mercury intruded into the rock was about 200 MPa to
reach the extremely small pores. Experimental data showed that the capillary pressure curves of The Geysers rock are very
different from that of the Berea sandstone. It was found that the frequently used capillary pressure models could not be used
to represent the data from The Geysers rock samples. This might be because of the fractures in the rock. To this end, a fractal
technique was proposed to model the features of the capillary pressure curves and to characterize the difference in heterogeneity
between The Geysers rock and Berea sandstone. The results demonstrated that the rock from The Geysers geothermal field was
fractal over a scaling range of about five orders of magnitude. The values of the fractal dimension of all the core samples
(six from The Geysers and one Berea sandstone) calculated using the proposed approach were in the range from 2 to 3. The results
showed that The Geysers rock with a high density of fractures had a greater fractal dimension than Berea sandstone which is
almost without fractures. This shows that The Geysers rock has greater heterogeneity, as expected. 相似文献
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西气东输工程中卫黄河穿越隧道长1197.77m,高4.3m,宽5.6m。隧道入口高于黄河水位28m,出口高于黄河水位45m。隧道顶板高程为1130m。位于黄河水下100m。隧道场地围岩为寒武系磨盘井组灰绿色、银灰色浅变质中厚层细粒长石石英砂岩、千枚状板岩、绢云母化千枚岩。围岩为弱风化Ⅲ~Ⅳ类岩石。透水率为4~67Lu,纵波波速为500~3300m.s-1。BQ为300~400。变形模量为6.11~9.22GPa。泊松比(μ)0.14~0.24。内摩擦角(ψ)为42.1°~44.7°。地下水为基岩裂隙水。含水层为寒武系浅变质岩,受大气降水渗入补给,单井涌水量为1.0~50m3.d-1。隧道轴线穿越区岩体较完整—较破碎,未有全新活动断层。隧道位置选择和开挖深度设计是可行的。施工和长期运营是安全的。 相似文献
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The viscous dissipation and heat transfer in the Darcy-Forchheimer flow by a rotating disk are examined. The partial slip conditions are invoked. The optimal series solutions are computed via the optimal homotopic analysis method(OHAM). The thermophoresis and Brownian motions are studied. The Darcy-Forchheimer relation characterizes the porous space. The roles of influential variables on the physical quantities are graphically examined. A reduction in the local Nusselt number is observed through thermophoresis and thermal slip parameters. The local Sherwood number depicts an increasing trend for the higher Brownian motion and concentration slip parameters. 相似文献
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考虑不确定性因素的有限元屈曲模型验证 总被引:1,自引:0,他引:1
研究了考虑不确定性因素的有限元屈曲模型验证和确认方法,提出了不确定参数选择的相关性和敏度分析方法以及基于面积度量的模型评估方法.针对化铣整体壁板,开展了有限元屈曲模型验证研究,首先利用8件试验件,获得了壁板屈曲载荷的试验值,然后依据试验加载情况,建立了考虑试验台的壁板有限元模型,最后利用面积度量方法对有限元模型进行了验证和确认.本文的模型验证和确认方法可为其他工程结构开展类似的工作提供借鉴. 相似文献