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1.
复合材料加筋板铺层优化设计的等效弯曲刚度法   总被引:2,自引:0,他引:2  
借助于等效弯曲刚度法和遗传算法,建立了一种复合材料加筋板铺层顺序优化设计算法.等效弯曲刚度法基于层合板的弯曲刚度与其失稳载荷一一对应的关系,将任意铺层顺序的层合板等效成一个只有8层的对称铺层的辅助层合板,通过优化辅助层合板,得到层合板的最优弯曲刚度参数,最后以获得的最优弯曲刚度参数为约束应用遗传算法进行铺层顺序优化,获...  相似文献   

2.
本文研究了以纤维缠绕层合圆柱壳在轴压下的屈曲载荷及自振基频为目标函数,以各层缠绕角为设计变量的优化设计问题,壳体分析采用的是线性理论,优化程序采用了随机选取法与Powell法相结合的方法。  相似文献   

3.
为了有效完成大型铰接单层网壳结构的后屈曲分析,本文采用对杆单元杆端力函数求导的方法推导出了等直杆单元切线刚度矩阵的精确形式。该切线刚度矩阵不受结构小变形限制,适用于结构产生任意大结点位移情况。以六角星桁架、平面圆拱桁架和大跨K8单层网壳结构为算例,采用广义位移控制法进行非线性后屈曲分析,其中预测子采用本文杆单元切线刚度矩阵。算例分析结果表明,本文杆单元切线刚度矩阵在大型铰接单层网壳结构的非线性后屈曲分析中有很强的预测能力。  相似文献   

4.
分别采用了两种壳体结构的形状优化算法来提高门板结构的抗弯曲刚度,它们分别是控制算法与敏度算法的壳体珠状优化方法。优化结果表明,对于壳状门板的刚度优化,这两种算法都是采用材料单元的摄动迭代来降低壳单元的最大应变能。两类算法之间的明显不同在于:控制算法在优化完成后会产生典型的珠状结构,而敏度算法产生的珠状结构则更平缓且不明显;同时,对于门板结构刚度的优化计算,控制算法的优化结果将最大单元应变能从1.83×10~(-3)J降低至1.35×10~(-3)J,而敏度算法则降低至1.49×10~(-3)J。因此对于该目标优化方法来说,控制算法更优于敏度算法。  相似文献   

5.
为了有效完成大型铰接单层网壳结构的后屈曲分析,本文采用对杆单元杆端力函数求导的方法推导出了等直杆单元切线刚度矩阵的精确形式。该切线刚度矩阵不受结构小变形限制,适用于结构产生任意大结点位移情况。以六角星桁架、平面圆拱桁架和大跨K8单层网壳结构为算例,采用广义位移控制法进行非线性后屈曲分析,其中预测子采用本文杆单元切线刚度矩阵。算例分析结果表明,本文杆单元切线刚度矩阵在大型铰接单层网壳结构的非线性后屈曲分析中有很强的预测能力。  相似文献   

6.
带脱层的复合材料层板屈曲分析中的接触问题   总被引:3,自引:0,他引:3  
用基于Mindlin板理论的有限元方法进行了带脱层损伤复合材料层板的屈曲载荷分析.为了处理在屈曲模态中上下脱层之间的接触问题,我们提出了一种有效的算法.在这种算法中,首先用一阶灵敏度分析和二次规划方法相结合的选代算法算出接触区域的虚拟力,然后将这种虚拟力转化成一些假想弹簧的刚度系数,并对原始刚度矩阵进行修正.数值算例表明本算法可以有效地克服屈曲模态中上下脱层之间的相互贯穿.同时,还对脱层的大小,形状和位置对屈曲载荷的影响进行了研究.  相似文献   

7.
非加劲钢板剪力墙(SPSW)结构在水平荷载作用下易屈曲,形成主拉压应力场,并以拉力带方式提供水平承载力及抗侧刚度。传统拉杆模型(SM模型)用于非加劲SPSW结构分析或设计时忽略压力场的贡献,一般会低估高厚比较小的非加劲SPSW结构的抗侧能力。非加劲SPSW结构在水平力作用下会形成多波面外变形,与剪力墙板的高阶屈曲相似,可通过在修正的SM模型中引入对应于高阶屈曲的主压应力来反映压力场贡献,提高模型分析精度。考虑剪力墙板高厚比、高宽比及边缘构件刚度的影响,共设计66个单层、单跨和梁柱铰接的非加劲SPSW算例,并进行弹性屈曲分析。分析结果表明,高厚比及边缘构件刚度对非加劲SPSW结构的剪切屈曲系数影响不大;随着剪力墙板高宽比的增加,非加劲SPSW结构的剪切屈曲系数呈增大趋势。采用Matlab程序对66个非加劲SPSW算例的2~5阶剪切屈曲系数结果进行统计分析,并提出了简化公式。  相似文献   

8.
提出了周期结构后屈曲分析的一种新算法。在屈曲点附近,通过加载模型和诱导后屈曲边值问题之间的相互切换,避开屈曲点附近刚度矩阵的奇异性,并诱导结构产生预期的后屈曲变形,避免了以往后屈曲算法中引入几何初始缺陷后对系统带来的可能影响。通过对三种由超弹性材料所构成的周期孔隙结构的后屈曲分析,验证了本文所提出的后屈曲算法的有效性和灵活性。分析了周期孔隙材料多向加载对屈曲模式转换的影响,以及后屈曲变形对弹性波传播带隙的影响,为周期结构中弹性波传播的调控提供良好的基础。  相似文献   

9.
基于蚁群算法的桁架结构布局离散变量优化方法   总被引:1,自引:1,他引:0  
提出的布局优化方法是将桁架结构的截面变量、拓扑变量及形状变量统一为离散变量.将离散变量转化为适应于蚁群算法求解TSP问题的离散变量,应用MATLAB语言编写求解桁架结构布局优化程序,最终实现对问题的分析与求解.通过对几个经典的平面、空间桁架结构布局优化算例的验算表明:本文设计的基于蚁群算法的桁架结构布局离散变量优化方法较单独处理截面优化、拓扑优化及形状优化问题具有更大的效益,相对于其他布局优化方法也展现出更好的优化效果.“基于蚁群算法的桁架结构布局离散变量优化方法”在程序设计、求解速度、求解空间及其方法通用性等方面都表现出良好的性能,并且简单、实用,适应于实际工程应用.  相似文献   

10.
针对传统的磁屏蔽装置结构参数优化过程中因待优化参数较少而限制了磁屏蔽性能进一步提高这一缺点,提出一种基于自适应权重粒子群优化(PSO)算法的磁屏蔽装置参数优化方法:首先,给出了磁屏蔽系数的计算公式,提出将不同屏蔽层的厚度、径向层间距以及轴向层间距均作为待优化变量以增加结构尺寸的多样性,从而扩大寻优范围;然后,针对待优化变量的增加可能会导致寻优陷入局部最优,提出一种自适应权重PSO算法以实现全局寻优;最后,以三层磁屏蔽装置的结构参数优化为例进行了仿真实验。仿真结果表明,与传统的优化方法相比,提出的优化方法使磁屏蔽装置的磁屏蔽系数提高了27.58%。该方法可以为磁屏蔽装置结构参数的优化提供一种参考。  相似文献   

11.
侧向弯曲屈曲及侧向弯扭屈曲均为钢-混凝土组合梁负弯矩区钢梁的重要屈曲模式,而现有计算方法通常只考虑到侧向弯曲屈曲,未考虑到侧向弯扭屈曲,因此有一定局限性。本文在钢梁腹板对钢梁下翼缘的转动约束刚度及侧向约束刚度的计算公式上,结合弹性介质中薄壁杆件的屈曲理论推导了工形钢-混凝土组合梁负弯矩区的侧向弯曲屈曲弯矩及侧向弯扭屈曲弯矩计算公式。实例分析表明,现有计算方法均存在一定理论缺陷,本文计算方法更为合理;同时,本文计算式比现有文献中同类型计算式更为简洁,便于手算,实用性强并适于工程应用。  相似文献   

12.
In this paper, we propose a decentralized coordination algorithm for a group of mobile nodes, called an autonomous swarm, on a finite two-dimensional space, which can efficiently coordinate cooperatively the autonomous swarm to the optimal solution. Our algorithm is inspired by chaotic behavior of a single ant and self-organization behavior of the whole ant colony. To construct this algorithm, we firstly assume that each agent is a nonlinear oscillator presenting the chaotic behavior of a single ant. Then we establish a self-organization mechanism according to the self-organization behavior of the whole ant colony. Moreover, we analyze the convergence of the proposed algorithm. Finally, we experimentally evaluate the performance of our algorithm with the clustering and dispersion operations of a swarm. Comparison results of the proposed algorithm and the gradient-type one are also presented to illustrate the effectiveness of the proposed scheme in approximately global optimization for swarms.  相似文献   

13.
压电薄板屈曲有限元分析及DKQ单元   总被引:5,自引:0,他引:5  
赵国忠  顾元宪 《力学学报》2001,33(4):568-576
在机电耦合本构方程基础上,利用Hamilton原理推导了压电薄板屈曲分析的有限元特征方程和机电耦合的内力计算公式,在有限元实现中选择了基于Kirchhoff薄板假定的四边形薄板单元(DKQ单元),并给出该单元的几何刚度阵及其数值积分方法。在大型通用有限元分析和优化设计软件系统JIFEX中实现了该方法。给出的数值验证了DKQ单元在屈曲分析和压电薄板静力分析中具有较高精度和收敛性,通过机械荷载和电荷载联合作用下的临界荷载计算,表明压电耦合效应能够影响结构的稳定性,可以通过改变外加电压对结构稳定性进行控制。  相似文献   

14.
The purpose of the present work is to study the buckling problem with plate/shell topology optimiza-tion of orthotropic material.A model of buckling topology optimization is established based on the independent,con-tinuous, and mapping method, which considers structural mass as objective and buckling critical loads as constraints. Firstly, composite exponential function (CEF) and power function(PF)as filter functions are introduced to recognize the element mass,the element stiffness matrix,and the ele-ment geometric stiffness matrix.The filter functions of the orthotropic material stiffness are deduced. Then these fil-ter functions are put into buckling topology optimization of a differential equation to analyze the design sensitiv-ity.Furthermore,the buckling constraints are approximately expressed as explicit functions with respect to the design vari-ables based on the first-order Taylor expansion.The objective function is standardized based on the second-order Taylor expansion. Therefore,the optimization model is translated into a quadratic program.Finally,the dual sequence quadratic programming(DSQP)algorithm and the global convergence method of moving asymptotes algorithm with two different filter functions(CEF and PF)are applied to solve the opti-mal model.Three numerical results show that DSQP&CEF has the best performance in the view of structural mass and discretion.  相似文献   

15.
Composite materials of extremely high stiffness can be produced by employing one phase of negative stiffness. Negative stiffness entails a reversal of the usual codirectional relationship between force and displacement in deformed objects. Negative stiffness structures and materials are possible, but unstable by themselves. We argue here that composites made with a small volume fraction of negative stiffness inclusions can be stable and can have overall stiffness far higher than that of either constituent. This high composite stiffness is demonstrated via several exact solutions within linearized and also fully nonlinear elasticity, and via the overall modulus tensor estimate of a variational principle valid in this case. We provide an initial discussion of stability, and adduce experimental results which show extreme composite behavior in selected viscoelastic systems under sub-resonant sinusoidal load. Viscoelasticity is known to expand the space of stability in some cases. We have not yet proved that purely elastic composite materials of the types proposed and analyzed in this paper will be stable under static load. The concept of negative stiffness inclusions is buttressed by recent experimental studies illustrating related phenomena within the elasticity and viscoelasticity contexts.  相似文献   

16.
弹性基础上的杆在轴压下的二次屈曲   总被引:1,自引:1,他引:0  
吴柏生 《力学学报》1993,25(4):443-451
本文研究弹性基础上受轴向加载的两端铰支杆当其最低两屈曲荷载很近时的后屈曲行为。首先,使用Liapunov-Schmidt约化并借助稳定性分析,揭示了杆的二次屈曲现象;基于分叉方程给出了原始后屈曲分支及二次分支的渐近展开。其次,我们使用作者建立的二次分叉的计算方法对杆的二次屈曲做了数值计算,数值结果与渐近展开符合得很好  相似文献   

17.
针对复合材料典型多墙盒段,采用试验和有限元分析相结合的方法,研究了弯扭耦合载荷作用下的稳定性、承载能力及损伤起始、扩展情况.试验采用数字图像相关(Digital Image Correlation, DIC)测量方法捕捉试验件屈曲模态的变化过程,通过载荷-应变曲线获得屈曲和后屈曲破坏载荷.数值仿真基于ABAQUS/Explicit模块,采用Hashin准则结合刚度降的VUSDFLD子程序模拟复合材料的屈曲和后屈曲行为.研究结果表明,多墙盒段在弯扭载荷组合作用下发生屈曲时,扭矩会改变屈曲模态的分布形式和对称性,屈曲鼓包依然保持波峰、波谷交替出现;多墙盒段后屈曲阶段历程较长,屈曲模态由一阶向高阶逐渐发展,直到结构发生过大变形,彻底破坏而失去承载能力.  相似文献   

18.
Bi-modulus materials with different mechanical responses in tension and compression are often found in civil, composite, and biological engineering. Numerical analysis of bimodular materials is strongly nonlinear and convergence is usually a problem for traditional iterative schemes. This paper aims to develop a stabilized computational method for nonlinear analysis of 3D bimodular materials. Based on the parametric variational principle, a unified constitutive equa-tion of 3D bimodular materials is proposed, which allows the eight principal stress states to be indicated by three para-metric variables introduced in the principal stress directions. The original problem is transformed into a standard linear complementarity problem (LCP) by the parametric virtual work principle and a quadratic programming algorithm is developed by solving the LCP with the classic Lemke’s algo-rithm. Update of elasticity and stiffness matrices is avoided and, thus, the proposed algorithm shows an excellent conver-gence behavior compared with traditional iterative schemes. Numerical examples show that the proposed method is valid and can accurately analyze mechanical responses of 3D bimodular materials. Also, stability of the algorithm is greatly improved.  相似文献   

19.
Thermal buckling analysis of truss-core sandwich plates   总被引:1,自引:0,他引:1  
Truss-core sandwich plates have received much attention in virtue of the high values of strength-to-weight and stifness-to-weight as well as the great ability of impulseresistance recently. It is necessary to study the stability of sandwich panels under the influence of the thermal load. However, the sandwich plates are such complex threedimensional(3D) systems that direct analytical solutions do not exist, and the finite element method(FEM) cannot represent the relationship between structural parameters and mechanical properties well. In this paper, an equivalent homogeneous continuous plate is idealized by obtaining the efective bending and transverse shear stifness based on the characteristics of periodically distributed unit cells. The first order shear deformation theory for plates is used to derive the stability equation. The buckling temperature of a simply supported sandwich plate is given and verified by the FEM. The efect of related parameters on mechanical properties is investigated. The geometric parameters of the unit cell are optimized to attain the maximum buckling temperature. It is shown that the optimized sandwich plate can improve the resistance to thermal buckling significantly.  相似文献   

20.
含分层损伤复合材料层合板剩余压缩强度研究   总被引:3,自引:0,他引:3  
准确预测含分层损伤层合板的剩余压缩强度,对复合材料具有十分重要 意义。本文基于层合板一阶剪切理论,建立了一种考虑复合材料多种损伤的含分层层合板刚度退化模型,通过数值算例分析了分层屈曲临界载荷与材料强度极限的关系以及刚度退化对含分层层合板前后屈曲行为的影响。  相似文献   

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