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1.
应用Mises屈服条件分析内边界简支环板在线性荷载作用下的极限荷载.考虑到Mises屈服条件的非线性,文中应用加权余量法进行分析.针对线性荷载的不同分布形武,给出极限荷载的计算公武与数值结果,画出极限荷载的影响曲线,并与最大弯矩极限条件的数值结果进行了比较,说明结果是合理的.  相似文献   

2.
针对承受两种不同荷载的具有内悬臂环板的塑性极限分析问题,应用奇异函数给出一种分析方法。文中给出一些算例,由此显示出本文方法的简单方便性。  相似文献   

3.
本文应用奇异函数简化计算具有悬臂端环板的极限荷载.文中分别以具有内悬臂或外悬臂的环板的塑性极限分析为例,给出简化计算的方法及结果.算例表明了本文方法的可行性及简便性.  相似文献   

4.
本文结合环板在线性荷载作用下的极限分析问题,给出一种简便的计算方法,即奇异函数法。文中用此法计算了具有外边界或内边界支环板的极限荷载,并画出几何参数对极限荷载的影响曲线,所得的结果具有良好的规律性而且是比较合理的。  相似文献   

5.
本文结合环板在线性荷载作用下的塑性极限分析问题,给出一种简便的计算方法,即奇异函数法。文中用此法计算了具有外边界或内边界支承的环板的极限荷载,并画出几何参数对极限荷载的影响曲线。所得的结果具有良好的规律性而且是比较合理的。  相似文献   

6.
本文将广义阶梯函数应用于薄板的塑性极限分析问题,用以简化计算简支圆板在复杂荷载作用下的极限荷载。文中针对简支圆板在任意局部均布荷载和线性分布荷载共同作用下的塑性极限分析问题,并考虑荷载的五种不同的分布形式,给出相应的极限荷载的计算公式。  相似文献   

7.
本文将广义阶梯函数应用于薄板的塑性极限分析问题,用以简化计算简支圆板在复杂荷载作用下的极限荷载。文中针对简支圆板在任意局部均布荷载和线性分布荷载共同作用下的塑性极限分析问题,并考虑荷载的五种不同的分布形式,给出相应的极限荷载的计算公式。  相似文献   

8.
本文在对无粘结预应力双向板两个方面平衡载荷分配方案分析的基础上,建立了两个方向预应力筋面积与总平衡荷载的关系式,在满足极限状态、正常使用极限状态和构造要求的条件下,使结构的造价达到最佳。  相似文献   

9.
本文采用双剪统一屈服准则。给出简支圆板在均布荷载作用下塑性极限的统一解,已有解答均是它的特例或线性逼近,说明采用双剪统一屈服准则求解塑性极限具有普遍性和适用性。  相似文献   

10.
本文分析了具有不同面内边界条件的矩形板,面内受到常位移梯度偏心加载和常荷载偏心距加载的条件下的屈曲后性能和极限荷载.计算中同时考虑了板初曲和残余应力的影响,成功地将线性有线条理论推广应用于解决板的大挠度弹塑性稳定问题.这一方法与目前研究此类问题的其它方法相比较,在同等精度下计算工作量小得多.  相似文献   

11.
基于考虑初始荷载效应情况下板的一般形式的静力平衡微分方程,运用坐标变换得到了轴对称情形,考虑初始荷载效应后圆形板的极坐标形式的静力平衡微分方程.运用Galerkin法解得了简支等边三角形板、固支椭圆板、固支圆形板和简支圆形板四种非正交边界板考虑初始荷载效应的后期荷载位移近似解.采用相关文献提出的有限元法验证了近似解的正确性.各位移近似解表达式简单、物理意义明确,清楚地反映了初始荷载及相关因素对后期荷载位移的影响.计算分析表明:初始荷载效应提高了板的弯曲刚度,减小了板的后期荷载位移;板的初始荷载效应主要受初始荷载、跨厚比及边界条件等因素的影响.  相似文献   

12.
本文采用俞茂宏统一屈服准则对固支圆板、矩形板进行了塑性极限荷载分析,得出了相应的统一解形式。选择不同的参数b,可以得出不同工程材料的塑性极限荷载,具有较好的普遍性和适用性。文献中已有的解均为本文的特例。  相似文献   

13.
The near crack line analysis method is used to investigate an eccentric crack loaded by shear forces in a finite width plate, and the analytical solution is obtained in this paper. The solution includes: the unit normal vector of the elastic–plastic boundary near the crack line, the elastic–plastic stress fields near crack line, variations of the length of the plastic zone along the crack line with an external loads, and the bearing capacity of a finite plate with a centric crack loaded by shear stress in the far field. The results obtained in this paper are sufficiently precise near the crack line because the assumptions of small scale yielding theory have not been made and no other assumptions have been taken. Subsequently, the present results are compared with the traditional line elastic fracture mechanical solutions and elastoplastic near field solutions under small scale yielding condition. On the basis of the minimum strain energy density (SED) theory, the minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. It is found that the normalized load under large scale yielding condition is higher than those under small scale yielding condition when the length of the plastic zone is the same.  相似文献   

14.
冲击荷载作用下简支圆板的塑性动力响应统一解   总被引:4,自引:0,他引:4  
采用统一强度理论求解了简支圆板在中等脉冲荷载作用下的动力响应问题,得出了统一的动力塑性极限荷载、内力场和速度场,并给出了上限解和下限解。讨论了静力许可条件和运动许可条件。利用本文的解还得出了简支圆板在静力荷载作用下的极限荷载、内力场和速度场。根据选择不同的拉压比参数,本文所给出的解可以适用于各种拉压异性和拉压同性材料。Tresca解、Mohr Coulomb解和双剪统一屈服准则解是本文的特例,Mises解是本文当=1和b=0.5时的线性逼近。研究结果表明,拉压比和强度理论参数b对动力解的影响要大于对静力解的影响,所以,根据材料的不同选择合适的强度理论,对于更好的发挥材料的强度潜力,减轻结构的重量具有重要的意义。  相似文献   

15.
张天怡  乔丕忠 《力学季刊》2022,43(2):239-248
本文采用一种新的半解析法,即独特利用Heaviside函数建立与加筋板等效的变刚度模型来开展复合材料双向正交加筋板在横向载荷下的弯曲挠度分析.此模型可以准确地描述筋条在板面上的分布,以及由于筋条的存在而导致的板面刚度不均匀分布.使用Galerkin加权残值法求解该模型的控制方程,得到不同边界条件和载荷情况下的级数解.对于双向正交加筋板,将此半解析法的结果与传统均匀化方法和使用商业有限元软件ABAQUS建立的有限元模型所得到的弯曲挠度结果比较,验证了此方法的准确性和优越性.不同于传统均匀化方法,本双向正交加筋板的弯曲挠度半解析法可精确、有效地获取加筋间的局部弯曲挠度,可以促进复合材料结构的设计分析与优化的研究进展.  相似文献   

16.
The failure behavior of an elastic-perfectly plastic body with a crack loaded by two pairs of concentrated shear forces is discussed. The analytical solutions of an eccentric crack in a finite plate loaded by two pairs of point shear forces are obtained. It includes the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line and the law of the plastic zone along the crack line with external loads. The solutions of this paper are sufficiently precise near the crack line in elastic-perfectly plastic materials. Subsequently, the present results are compared with solutions based on the minimum strain energy density theory and elastic-plastic solutions under small scale yielding condition. On the basis of the minimum strain energy density (SED) theory, the minimum values of SED in the vicinity of the crack tip are determined, the initial growth orientation of crack are determined. It is found that the normalized load under large scale yielding condition is higher than those under small scale yielding condition when the length of the plastic zone is the same.  相似文献   

17.
B. Yang  J. Yang  S. Kitipornchai 《Meccanica》2017,52(10):2275-2292
Thermoelastic bending behaviour of novel functionally graded polymer nanocomposite rectangular plate reinforced with graphene nanoplatelets (GPLs) whose weight fraction varies continuously and smoothly along the thickness direction is investigated. The generalized Mian and Spencer method is utilized to obtain the analytical solutions of nanocomposite rectangular plate with two opposite edges simply supported and under a uniformly distributed transverse load and a temperature change. Three GPL distribution patterns are considered. Comparison between the present analytical solutions and those available in literature is carried out to verify the accuracy of our analytical solutions. A parametric study is conducted to examine the effects of GPL’s weight fraction, distribution pattern, geometry and size as well as the temperature change and plate boundary conditions on the stress and deformation fields of the nanocomposite plates. Numerical results show that the addition of GPLs at a very low content can have a significant reinforcing effect on the thermo-mechanical response of the plate.  相似文献   

18.
本文采用俞茂宏双剪统一屈服准则求解部分均匀荷载下简支圆板的塑性极限,已有的最大主应力准则、Tresca准则,Mises准则的解答均是该解答的特例或线性逼近。该解答可以适合于多种工程材料,具有普遍性和适用性,从得出的解析解和图示中可得出一些新的有益的认识  相似文献   

19.
This paper analyses the bending of rectangular orthotropic plates on a Winkler elastic foundation.Appropriate definition of symplectic inner product and symplectic space formed by generalized displacements establish dual variables and dual equations in the symplectic space.The operator matrix of the equation set is proven to be a Hamilton operator matrix.Separation of variables and eigenfunction expansion creates a basis for analyzing the bending of rectangular orthotropic plates on Winkler elastic foundation and obtaining solutions for plates having any boundary condition.There is discussion of symplectic eigenvalue problems of orthotropic plates under two typical boundary conditions,with opposite sides simply supported and opposite sides clamped.Transcendental equations of eigenvalues and symplectic eigenvectors in analytical form given.Analytical solutions using two examples are presented to show the use of the new methods described in this paper.To verify the accuracy and convergence,a fully simply supported plate that is fully and simply supported under uniformly distributed load is used to compare the classical Navier method,the Levy method and the new method.Results show that the new technique has good accuracy and better convergence speed than other methods,especially in relation to internal forces.A fully clamped rectangular plate on Winkler foundation is solved to validate application of the new methods,with solutions compared to those produced by the Galerkin method.  相似文献   

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