冷弯薄壁槽形截面钢柱的优化设计

求解冷弯开口薄壁截面短柱的极限承载力是一个板组结构的大挠度弹塑性分析问题，板件之间相互作用和纵向面内加载方式对其局部屈曲后性能和稳定极限承载力有很大的影响。本文应用大挠度弹塑性有限条分析方法系统地研究了冷弯薄壁槽形截面柱的极限承载能力和它们的优化性能，并对荷载偏心距为常数和位移梯度为常数的两种加载条件下的薄壁开口短柱局部屈曲后性能和极限承载力进行了对比分析和探讨。     

纵横荷载共同作用下基础板弯曲问题样条边界元分析

本文从计入中面力的薄板控制微分方程出发,导出了求解纵横荷载共同作用下基础板弯曲问题和稳定问题的计算格式,耦合片平面问题和板弯曲问题,有效地解决了复杂荷载作用下板弯曲问题和临界荷载的计算。     

箱梁静力分析的三维有限单元法

采用三维梁、板单元 ,解决了薄壁箱梁的静力计算问题。结合在偏心荷载作用下箱梁的具体算例 ,给出箱梁翼板和腹板的翘曲正应力和剪应力分布曲线 ,并讨论了用荷载等效分解法计算箱梁时存在的一些问题     

拱暨索拱面内稳定性研究的传递矩阵法

为探究拱桥面内稳定问题求解的新途径,应用传递矩阵法对径向均布荷载作用下的圆拱面内屈曲微分方程进行解答,利用边界条件导出其特征方程,从而求得其屈曲荷载。同时,结合力法以及拱上荷载集度与轴力的关系,将该理论方法推广到承受集中荷载的变截面拱以及索拱组合结构的稳定分析中,并和有限元ANSYS计算结果进行对比,验证了本文理论和方法的正确性。最后,研究了不同荷载工况下的边界条件、圆心角和截面惯性矩对拱结构面内稳定性的影响。结果表明,索拱结构的面内稳定性优于纯拱结构。     

环板在局部线性荷载作用下的塑性极限分析的计算方法探讨

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。     

环板在局部线性荷载作用下的塑性极限分析的计算方法探讨

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。     

面内预应力功能梯度材料矩形板的横向弯曲

功能梯度材料（FGM)是一类具有广阔应用前景的新型复合材料。本文考虑材料物性参数随坐标和温度变化的特性，研究横向荷载和面内预加荷载作用下FGM矩形板在各种边界条件下的弯曲问题。给出了基于一维微分求积格式的Galerkin技术的半解析方法，并以ZrO2/Ti-6Al-4V板为例考察了材料组分，温度相关性，面内预加荷载，边界约束条件等对FGM板弯曲行为的影响。结果表明，FGM板的弯曲变形介于各向同性陶瓷板与各向同性金属板之间，且随板抗弯刚度的增大而逐步减小，在高温下条件下必须考虑材料物性和温度的相关性。     

多梁式波形钢腹板工字钢组合梁荷载横向分布系数研究

为探讨多梁式波形钢腹板工字钢组合梁横向分布系数计算方法,同时考虑波形钢腹板抗扭刚度、剪切变形及钢混滑移效应,对传统的偏心压力法、修正偏心压力法及刚接梁法进行修正,并结合有限元模型通过一座典型的4主梁波形钢腹板工字钢组合梁桥对比分析了上述方法的适用性,最后基于参数分析研究了横隔板数量及刚度对其横向荷载分布系数的影响。结果表明,考虑剪切变形及滑移效应的刚接梁法得到的荷载横向分布系数与有限元值符合最好;当桥梁宽跨比小于2时,宜采用刚接梁法计算各主梁荷载横向分布系数,当宽跨比大于2时,宜采用更为简洁的修正偏心压力法进行计算;横隔板的设置可改善各主梁荷载横向均匀分布,但跨间横隔板间距和刚度对其荷载横向分布系数影响较小,实桥设计时可仅在端部及跨中位置布置横隔板,横隔板刚度及其余部位横隔板数量可根据结构稳定性要求进行布置。     

求解比例加载下结构负刚度问题的虚加弹簧法

针对恒载和比例变载共同作用下软化结构按位移法求解的负刚度问题,提出了一种虚加弹簧法.在各比例加载点沿荷载方向布置刚度适当的弹簧,得到没有负刚度问题的硬化结构,对虚加弹簧的结构进行逐级加载,在每级加载时从总荷载中扣除弹簧所承担的荷载,即得到结构所承担的荷载.将后者中不符合比例加载要求的非比例成分反向施加在虚加弹簧的结构上重新求解,将得到新的非比例成分.重复此过程进行迭代运算,直至非比例成分可略,就得到本级比例加载下结构负刚度问题的解,重复此过程可得到各级加载下的解.本方法同时也适合结构硬化阶段的求解.该方法力学概念直观,编程简明,可以用于非线性结构加卸载变形全过程的数值分析.运用该方法对多种工况进行了计算,结果表明该方法可行并具有良好的收敛性.     

初始缺陷对任意边界板极限承载力的影响分析

板钢结构承载力分析最终可化简为对一任意边界的矩形板在面内荷载作用下的极限承载力分析.从含初始弯曲的大挠度方程出发,以板厚度的折减量为摄动参数,将残余应力考虑成等效荷载,根据实用板与理想板的比较,得出板的厚度折减量和板的极限承载力方程.通过与非线性有限元方法和已有试验数据的验证分析,表明折减厚度法适用范围广、安全、精度高,可作为非线性有限元方法的补充,大大简化了结构极限承载力分析的复杂性.     

Analysis of thin parallelogram plates' bending by spline-finite-strip method

Spline finite strip has been successfully applied in solving right plates and shells by Cheung et al in 1982. In this paper, the method is extended to the analysis of parallelogram plate. This extension still retains the banded nature of the spline finite strip and only small amount of extra computing effort is required. Furthermore, the discretisation error of the above method is established theoretically as a general case for the spline finite strip method.     

复杂厚板的条形传递函数解

建立了规则区域厚板混合状态变量的条形传递函数解,通过定义结点变量,并利用结点位移连续和力平衡条件,将多个简单子区域的解进行组装,从而得到了复杂形状,复杂边界条件厚板的条形传递函数解,由于条形传递函数法的节点位移变量与有限元法的节点位移变量完全一致,可将简单矩形板的条形传递函数解作为一个超东级单元,直拉将超级单元和有限元单元进行综合,可以得到复杂板的条形传递函数解,进一步增强了条形传递函数法对复杂反问题的适应性。     

Mechanical buckling and free vibration of thick functionally graded plates resting on elastic foundation using the higher order B-spline finite strip method

In this study, the mechanical buckling and free vibration of thick rectangular plates made of functionally graded materials (FGMs) resting on elastic foundation subjected to in-plane loading is considered. The third order shear deformation theory (TSDT) is employed to derive the governing equations. It is assumed that the material properties of FGM plates vary smoothly by distribution of power law across the plate thickness. The elastic foundation is modeled by the Winkler and two-parameter Pasternak type of elastic foundation. Based on the spline finite strip method, the fundamental equations for functionally graded plates are obtained by discretizing the plate into some finite strips. The results are achieved by the minimization of the total potential energy and solving the corresponding eigenvalue problem. The governing equations are solved for FGM plates buckling analysis and free vibration, separately. In addition, numerical results for FGM plates with different boundary conditions have been verified by comparing to the analytical solutions in the literature. Furthermore, the effects of different values of the foundation stiffness parameters on the response of the FGM plates are determined and discussed.     

薄壁截面梁的歪曲屈曲

本文在梁的整体屈曲分析中,废除了传统的刚性截面假定(刚周边假定),允许梁截面自由地歪曲,进而研究了薄壁截面梁的歪曲屈曲性能。分析中采用了样条有限条法,考虑了各种不同的荷载形式、支承条件和边界约束。这一方法与有限元法相比较,计算工作量大大地减少。数值计算结果表明,在梁长细比的较大范围内,歪曲屈曲模型对梁的设计起控制作用。     

Finite strip buckling analysis of curved plate assemblies under biaxial loading

A finite strip method is presented for calculating the linear buckling stresses of structural assemblies of long, thin plate components which, in general, are curved and which are rigidly joined together at their longitudinal edges. It is assumed that on buckling under the action of a biaxial direct stress field the perturbation forces and displacements all vary sinusoidally in the longitudinal direction. A stiffness matrix relating the amplitudes of the perturbation forces and displacements is developed for the curved strip on the further assumption of relatively high-order polynomial variations of the displacement components around the plate width. Numerical results are presented of the application of the curved strip in calculating the buckling stresses of plates, cylinders, panels and formed sections.     

基于混合状态变量的中厚板条形传递函数解

基于Mindlin板理论和改进的混合能量变分原理,建立了矩形区域中厚板问题的条形传递函数解法。该方法将矩形板在一个方向上离散为多个条形单元,而条形单元状态变量的解在单元的横向采用多项式插值,在单元的纵向直接解析求解。通过定义结点变量,并利用结点位移连续和力平衡条件,将多个简单子区域的解进行组装,可构造出分析复杂形状、复杂边界条件中厚板的条形传递函数解。数值算例表明,条形传递函数方法具有很高的计算精度。     

BUCKLING ANALYSIS UNDER COMBINED LOADING OF THIN-WALLED PLATE ASSEMBLIES USING BUBBLE FUNCTIONS

Bubble functions are finite element modes that are zero on the boundary of the element but nonzero at the other point. The present paper adds bubble functions to the ordinary Complex Finite Strip Method(CFSM) to calculate the elastic local buckling stress of plates and plate assemblies. The results indicate that the use of bubble functions greatly improves the convergence of the Finite Strip Method(FSM) in terms of strip subdivision, and leads to much smaller storage required for the structure stiffness and stability matrices. Numerical examples are given, including plates and plate structures subjected to a combination of longitudinal and transverse compression, bending and shear. This study illustrates the power of bubble functions in solving stability problems of plates and plate structures. The work was partly supported by the Natural Science Foundation of Jiangxi Province of China and by the Basic Theory Research Foundation of Nanchang University.     

Dynamic response of plates due to moving vehicles using finite strip method

ＩｎｔｒｏｄｕｃｔｉｏｎＤｙｎａｍｉｃｒｅｓｐｏｎｓｅｏｆｂｅａｍ＿ｌｉｋｅｓｔｒｕｃｔｕｒｅｓｔｏｍｏｖｉｎｇｖｅｈｉｃｌｅｓｈａｓｂｅｅｎｅｘｔｅｎｓｉｖｅｌｙｓｔｕｄｉｅｄ .Ｈｏｗｅｖｅｒ,ｔｈｅｓｔｕｄｙｏｎｄｙｎａｍｉｃｒｅｓｐｏｎｓｅｏｆｐｌａｔｅｓｔｏｍｏｖｉｎｇｖｅｈｉｃｌｅｓｈａｓｓｏｆａｒｒｅｃｅｉｖｅｄｂｕｔｓｃａｎｔａｔｔｅｎｔｉｏｎ .Ｗｕｅｔａｌ.[1],ＴａｈｅｒｉａｎｄＴｉｎｇ[2 ],ＹｅｎｅｒａｎｄＣｈｏｍｐｏｏｍｉｎｇ[3],ＨｕｍａｒａｎｄＫａｓｈｉｆ[4 ]ｅｔａｌ.ｓｅｐａ…     

Stacking sequence optimization of composite plates for maximum fundamental frequency using particle swarm optimization algorithm

The paper illustrates the application of the particle swarm optimization (PSO) algorithm to the lay-up design of symmetrically laminated composite plates for maximization of fundamental frequency. The design variables are the fiber orientation angles, edge conditions and plate length/width ratios. The formulation is based on the classical laminated plate theory (CLPT), and the method of analysis is the semi-analytical finite strip approach which has been developed on the basis of full energy methods. The performance of the PSO is also compared with the simple genetic algorithm and shows the good efficiency of the PSO algorithm. To check the validity, the obtained results are compared with those available in the literature and some other stacking sequences, wherever possible.     

Axial buckling of perforated plates reinforced with strips and middle tubes

Global buckling of perforated plates reinforced with circumferential strip or short tube is investigated. Effects of the hole radius, width of the strip, thickness and radius of the tube and boundary conditions are studied numerically and experimentally. Axial buckling loads of the holed plates decrease versus the hole radius. By using the strip or tube, the buckling strength increases significantly. In some cases, the stiffened plate has buckling load greater than the perfect plate. Numerical studies showed that the increasing restraints at the boundaries increase the buckling strength in any case and geometry of the plate.