共查询到20条相似文献,搜索用时 15 毫秒
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IntroductionThin_walledstructureiswidelyusedinengineering .Itnotonlyhasaroleofdecreasingquantityofstructure ,usingmaterialreasonably ,andimprovingeconomicbenefitsgreatlybutalsohasaroleofbeautifyingstructure’sfacade.Nowadays,becauseoftheseapparentadvantag… 相似文献
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王颖坚 《应用数学和力学(英文版)》1990,11(4):343-353
Basic equations for large deflection theory of thin orthotropic circular plate with variable thickness are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. If ε=0, then the solution derived from the result in this paper coincides completely with the result given by J. Nowinski (using perturbation method) for solving large deflection problem of thin orthotropic circular plate with constant thickness under uniform pressure. 相似文献
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Cong-rui Jin 《应用数学和力学(英文版)》2008,29(7):889-896
The analytical solution to a Foppl-Hencky membrane with a rigidly clamped boundary condition under concentrated force is provided. Stability of a nonlinear circular membrane is investigated. 相似文献
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采用有限元法中的伪弧长算法研究了集中载荷作用下圆拱的大范围非线性问题,给出了临界载荷与圆心角间的关系曲缄以及极值分叉与简单分叉的分界点,并对屈曲后的变形进行了追踪,文中首先简述伪弧长算法,然后给出了计算结果。 相似文献
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多孔Mooney-Rivlin材料矩形板的单向拉伸 总被引:2,自引:0,他引:2
本文利用不同可压超弹性材料大变形的Mooney-Rivlin应变能函数研究了含有多个微孔的矩形板在单向拉伸作用下的有限变形和受力分析。首先利用不可压条件得到了文中所给的含有某种对称性分布的多个微孔的矩形板的变形模式函数,其中所含的一个参数可由远离微孔的无穷远处的变形状态确定,另一个参可用最小势能原理导出变分近似解。文中详细分析了板中微孔(一个,三个和五个)随载荷作用的增长情况和微孔边缘应力的分布情况,并进行了比较。讨论了微孔的个数和排列方式,微孔的孔间距离等因素对微孔增长和应力分布的影响。 相似文献
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本文研究了线弹性的圆截面压杆在刚性井壁的曲线井中的屈曲问题。压杆两端为铰支,杆和井壁之间的摩擦力忽略不计,失稳前假设压杆位于曲线井的较低侧。分析了压杆屈曲时的几何变形条件,导出了压杆的曲率,变形能和各项外力势的表达式,用最小势能原理导出压杆失稳的微分方程和边界条件。引入梁单元,用有限单元法求得了压杆失稳时的临界压力和杆轴线状态。结果显示,临界压力随着压杆自重和曲线井半径的增加而增加。自重为零时,杆轴线为半个正弦曲线;自重不为零时,杆轴线为振荡的曲线,且振荡主要集中在压杆顶部。 相似文献
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LARGEDEFLECTIONPROBLEMOFTHINORTHOTROPICCIRCULARPLATEONELASTICFOUNDATIONWITHVARIABLETHICKNESSUNDERUNIFORMPRESSURE(王嘉新)(刘杰)LARG... 相似文献
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In this paper,based on the mixed-type theory developed by the same authors.atheoretical analysis is presented for the stability of laminated composite circular conicalshells under external pressure.The formulas for critical external pressure are obtained byusing the potential energy variation principle.Very good agreement is shown between thetheoretical prediction of critical external pressure and the experimental data.Finally,theinfluence of some parameters on critical external pressure is discussed numerically.Themixed-type theory developed by the same authors and the results obtained in this paperare very useful in aerospace engineering design. 相似文献
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IntroductionHyper_elasticmaterials ,suchasrubberandpolyurethane ,havemanyexcellentpropertiesandhavebeenusedwidelyinalmostallregionsofevery_daylifeandindustrialmanufacturing .Thevoidformationandgrowthinhyper_elasticmaterialsduetotheinstabilityofmaterialsplayafundamentalroleinthemechanismsofmaterialfractureandfailure.SotheproblemhasgotacertaindevelopmentinthepasttwentyyearsandtherecentreviewisthatofHorgan[1] .Chou_WangandHorgan[2 ] ,RenandCheng[3 ,4] studiedthegrowthofacentervoidinthecylindero… 相似文献
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IntroductionSofar,onlyafewpeoplehavestudiedthelargedeflectionproblemsofsandwichplatesandshellsbecauseofthedifficultyofnonlinearmathematics.LiuRenhuaihasdonemuchtofindaseriesofresultswiththevalueofapplicationinengineeringpractice[1~5].Author[6,7]hadtheiniti… 相似文献
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本文提出一种修正的有限元法与迁移矩阵法相结合的方法用于结构几何非线性劳力分析。该法可克服一般的FE-TM法只适用于规则边界结构的缺点,同时可避免由于传递矩阵连续相乘而产生的误差传递。采用修正的步长增量法与修正的牛顿。拉斐逊方法相结合的算法于非线性问题的求解,编制了在IBM-PC/AT上实现该方法的计算机程序TNONDLW1,数值计算结果表明了本文方法及所编制程序的有效性。 相似文献
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Two sets of trial functions with different variables are constructed for the admissible space of the finite element analysis. The trial functions satisfy the equilibrium differential equation inside elements, while the deflections and rotations on the edges of the elements are approximated by the Peano hierarchical interpolation functions. Then, a generalized variational principle is applied to set up the p-version hybrid analytical finite element method for plate bending problems. The accuracy of finite element computation can be improved by increasing the order of the interpolation polynomials with fixed mesh. In the finite element formulation, to obtain the stiffness matrices and the load vectors, it is only necessary to perform quadrature over the edges of the elements. These matrices and vectors possess an embedding structure. The conformability between the elements can be controlled automatically.This work is supported by the Natural Science Foundation of China and the Aeronautical Science Foundation of China. 相似文献
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The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condi- tion were established by von Karman plate theory,and then accordingly exact solution of static load and its numerical results were given.Based on time mode hypothesis and the variational method,the control equation of the space mode was derived,and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method.Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated.When circumjacent load makes the lowest natural frequency zero,critical load is obtained. 相似文献
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The nonlinear quasi-conforming FEM is presented based on the basic concept of the quasiconforming finite element. First, the
incremental principle of stationary potential energy is discussed. Then, the formulation process of the nonlinear quasi-conforming
FEM is given. Lastly, two computational examples of shells are given. 相似文献