压电作动器对热变形层合板形状修复研究

基于一阶剪切效应Mindlin板理论,建立了在热载下含分布式压电作动器的复合材料层合板有限元分析模型和控制方程,分别研究了该板在内外表面存在温差的情况下的热变形,以及使用压电作动器对热变形区域进行形状修复的问题;在分析中考虑了压电作动器与复合材料层合板间含有胶接层的影响。由典型算例结果讨论,得到如下结论:1)使用压电作动器可以有效地对复合材料层合板的表面热变形形状进行修复;2)压电作动器的分布位置对修复效果影响很大;3)在电压达到一定数值后,继续增加电压值对修复效果贡献很小。     

大型结构小增益分散稳定化容错控制研究

针对大型土木工程结构,研究了具有完整性的小增益分散稳定化容错控制问题,考虑子控制系统关联项及系统中传感器与作动器出现故障的情况,利用Lyapunov稳定性理论及线性矩阵不等式方法,给出了离散时滞关联系统分散镇定的充分条件,并证明了该条件等价于一组线性矩阵不等式的可行性问题。进而,通过建立和求解一个凸优化问题,提出了具有完整性的小反馈增益参数分散稳定化容错状态反馈控制律的设计方法,所得到的子系统控制器能保持全局渐进稳定。针对ASCE 9层benchmark模型,该文分别从部分独立分散控制和重叠分散控制角度研究分析了正常工况、传感器失效、作动器失效及传感器作动器均失效工况的分散控制设计与数值分析。结果表明,该文提出的小增益分散稳定化控制（LMI-SGDSC）算法能获得与集中控制策略接近的控制效果,且无需更多的控制能量;相对于集中控制,重叠分散控制系统具有更高的可靠性;在发生故障时,具有完整性的分散稳定化容错控制（LMI-SGFTDSC）具有较好的控制效果。     

含压电作动器和传感器的复合材料层板静变形有限元分析和形状控制研究

本文研究了含压电作动器和传感器层的复合材料层板理论,建立了位移和电自由度的四节点有限元素,利用总势能最小原理推导了静力平衡方程,实现和验证了含压电作动器/传感器复合材料层板静态分析有限元程序。并对该类复合材料层板进行了形状控制研究。      

有限元线法求解非线性模型问题——Ⅱ.扭转杆的最优截面

作为有限元线法(FEMOL)求解非线性问题的系列工作之二,本文将该法应用于形状优化问题,对扭转杆的截面优化这一模型问题作了分析求解。文中首先对双连域截面的扭转问题作了FEMOL推导,然后允许结线的长度改变以描述不同的截面形状,再利用若干变换技巧将形状变量及优化条件引入常微分方程(ODE)体系中,从而将问题转换成标准的非线性ODE问题,并由ODE求解器进行求解。文中算例显示了本法对形状优化问题的求解具有方法简洁、实施方便、效率显著等优点。     

含压电作动器和传感器的复合材料层板静变形有限元分析和形状控制研究

本文研究了含压电作动器和传感器层的复合材料层板理论，建立了位移和电自由度的四节点有限元素，利用总势能最小原理推导了静力平衡方程，实现和验证了含压电作动器／传感器复合材料层板静态分析有限元程序。并对该类复合材料层板进行了形状控制研究。     

自适应天线结构位移最优控制

为保证大型天线结构的形状精度,传统的方法是使结构具有足够的刚度。当采用自适应结构控制天线形变规律的时候,可以大大降低结构的重量并使结构具有更高的形状精度。针对嵌入压电作动器的自适应抛物面天线结构,建立了以天线反射面最佳吻合抛物面的精度和作动器能耗为综合目标的多目标优化控制模型,模型以结构强度和作动器性态作为约束条件,并用线性加权和法转化为单目标二次规划问题。算例表明,可以用较少的作动器,实现大型天线结构的高精度控制。     

基于光控压电混合驱动悬臂梁独立模态控制

本文提出利用镧改性锆钛酸铅（PLZT）的光电效应,将PLZT作为电动势源来驱动压电作动器,从而实现光控板壳结构的振动控制。基于光控压电等效电学模型建立了光控压电混合驱动的数学模型,并进行了实验验证。为了实现光控悬臂梁的独立模态控制,针对悬臂梁结构,设计了正交模态传感器/作动器表面电极形状函数。提出PLZT与压电作动器正/反接控制的激励策略,并结合速度反馈定光强控制的控制算法,利用Newmark-β法对不同光照强度下悬臂梁的动态响应进行了数值仿真分析。分析结果证明了本文所设计的模态传感器/作动器及针对光控压电混合驱动提出的控制策略的正确性。     

压电作动器的迟滞非线性建模和实时补偿控制仿真

压电作动器的迟滞非线性不同程度的影响了作动器的性能,降低了系统的稳定性,甚至使得系统不稳定,尤其在振动主动控制应用中,要求系统具有极强的实时性,否则由于相位滞后控制效果将会受到严重影响.在研究了各种迟滞非线性模型和补偿算法的基础上,采用PI迟滞算子对压电作动器建立一个纯现象的模型来准确描述其迟滞现象,参数的线性不等式约束保证了求解的唯一性和模型的可逆性.在此基础上利用PI逆模型设计补偿器来补偿迟滞非线性.仿真结果证明了控制算法的正确性和有效性,并有效抑制了迟滞的影响,保证了理想的跟踪精度.     

压电智能桁架作动器的数目和位置的优化配置

由于离散型智能桁架结构的固有特性和作动器的优化配置是高度耦合的,即结构的固有特性影响着作动器的优化配置,相应地,作动器配置的数目和位置反过来影响结构的固有特性,很难预先给定一个作动器数目的确定准则.利用优化的方法来讨论压电类结构中作动器数目和位置的优化配置是一种较好的选择.基于结构耦合模态的最优控制,建立了考虑作动器数目和位置优化配置以及控制器参数的优化模型.针对设计变量,提出了一种基于遗传算法的优化策略.数值算例的结果表明,采用优化的方法来确定作动器的优化配置是可行的、有效的.     

机敏约束层阻尼薄板的μ综合鲁棒控制研究

以局部覆盖机敏约束层阻尼薄板为研究对象,对振动主动控制展开了研究。首先用ADF阻尼模型表征黏弹性层的阻尼特性,利用有限元法建立系统的动力学模型;并考虑模型的庞大自由度问题,对模型进行降阶处理;其次针对作动器和传感器位置对控制性能的影响问题,综合考虑控制输入与传感输出间关系,优化了作动器与传感器的位置,并对优化后理论模型进行了实验验证;最后针对模型模态参数误差和因舍去高频模态导致的模型混合不确定性问题,设计了μ综合鲁棒控制器,并通过硬件在环实验对控制效果进行验证。实验结果表明:复杂周期信号激励下的振动响应幅值衰减30%左右,白噪声激励下的振动响应的均方根值降低了9.1%左右。     

一种分析AGS结构的三角形加筋板壳单元

基于精细三角形Mindlin板单元构造了21个自由度三角形复合材料加筋板壳单元。在该单元构造过程中,考虑了肋骨弯曲、扭转、面内剪切和横向剪切变形的影响;由于肋骨和蒙皮的位移插值函数采用了相同的形函数,保证了两者变形的协调性,同时又放松了肋骨转动的约束,故与传统的板单元相比,能较好地反映了蒙皮和肋骨的变形特征。在此单元中,肋骨放置的数量、位置和角度可以任意,为结构的单元网格剖分带来了很大的便利。算例结果验证了单元的有效性,特别是在分析高肋结构时,显示出其比传统加筋板单元具有更高精度的优点。还以一典型的先进复合材料等格栅加筋板(AGS)为例,讨论了该结构弯曲变形的力学特性。     

Optimum distribution of smart stiffeners in sandwich plates subjected to bending or forced vibrations

The problems of optimum distribution of active stiffeners manufactured from piezoelectric or shape memory alloy materials and bonded to or embedded within the facings of a sandwich plate are considered. The sandwich plate consists of thin composite or isotropic facings which are in the state of plane stress and a thick shear deformable core. The amplitude of forced vibrations of the plate is reduced using symmetric couples of piezoelectric stiffeners subjected to out-of-phase dynamic voltages. Shape memory alloy stiffeners are used to reduce bending deformations. In the latter case, a desirable effect is achieved by activating the stiffeners on one side of the middle surface. Optimum design is considered based on the requirement of minimal transverse static or dynamic deflections subject to a constraint on the volume of smart stiffeners. The variables employed in the process of optimization are the ratios of the cross-sectional areas of the stiffeners in each direction to their respective spacings. It is shown, that, dependent on the load, materials, and geometry, optimum design can significantly reduce deflections, i.e. enhance the strength, of sandwich plates.     

A SHAPE AND SIZE OPTIMIZATION ALGORITHM FOR MACHINE TOOL ELEMENT DESIGN

A shape and size optimization algorithm is developed to incorporate the shape and size variables in a recently developed machine tool simulation and design methodology known as Integrated Machining Process Design Simulator (IMPDS). This shape optimization algorithm, using coordinates of master nodes, parameters of geometric equations, coordinate linking and symmetry option approaches presents a general and flexible way of controlling and optimizing the structural shape of machine tool elements. An application of the proposed shape and size optimization algorithm indicates that the shape and size parameters have significant effects on the structural characteristics and the dynamic behavior of machine tool elements.     

An uncertain multidisciplinary design optimization method using interval convex models

This article proposes an uncertain multi-objective multidisciplinary design optimization methodology, which employs the interval model to represent the uncertainties of uncertain-but-bounded parameters. The interval number programming method is applied to transform each uncertain objective function into two deterministic objective functions, and a satisfaction degree of intervals is used to convert both the uncertain inequality and equality constraints to deterministic inequality constraints. In doing so, an unconstrained deterministic optimization problem will be constructed in association with the penalty function method. The design will be finally formulated as a nested three-loop optimization, a class of highly challenging problems in the area of engineering design optimization. An advanced hierarchical optimization scheme is developed to solve the proposed optimization problem based on the multidisciplinary feasible strategy, which is a well-studied method able to reduce the dimensions of multidisciplinary design optimization problems by using the design variables as independent optimization variables. In the hierarchical optimization system, the non-dominated sorting genetic algorithm II, sequential quadratic programming method and Gauss–Seidel iterative approach are applied to the outer, middle and inner loops of the optimization problem, respectively. Typical numerical examples are used to demonstrate the effectiveness of the proposed methodology.     

CONSTRUCTIVE DESIGN MODELS FOR THE OPTIMIZATION OF COMPOSITE PLATES AND SHELLS

The paper presents the basic ideas of so-called constructive design models and their special formulation for the material layup and the geometry of plane and curved composite load-bearing structures (plates, shells) without and with stiffeners. Constructive models additionally facilitate the consideration of manufacturing requirements and limitations of a fully integrated tape-laying process. Within the constructive design models, the constructive layout is described by means of a parametric model which is independent from the analysis model, and constructive (geometric) parameters are denned as design variables for the optimization process instead of the commonly used analysis variables. The application of constructive design models leads to a better representation of the design variables and makes the optimization process more efficient.     

Optimal design of composite wing structures with blended laminates

In this paper we formulate the problem of wing box design optimization using composite laminates with blending constraints. The use of composite laminates necessitates the inclusion of fiber orientation angle of the layers as well as total thickness of the laminate as design variables in the design optimization problem. The wing box design problem is decomposed into several independent local panel design problems. In general such an approach results in a nonblended solution with no continuity of laminate lay ups across the panels, which may not only increase the lay up cost but may also be structurally unsafe due to discontinuities. The need for a blended solution increases the complexity of the problem many fold. In this paper we impose the blending constraints globally by using a guide based design methodology within the genetic algorithm optimization scheme and compare the results with the published ones. Two different blending schemes – outer and inner blending are presented. The result shows that the optimum design obtained using the current methodology has better continuity of laminate lay ups and also the reported weight of the composite wing box is on the lower side. Finally, a parametric study of the effect of global deflection constraint on the total weight of the optimum design is presented.     

Shape morphing of laminated composite structures with photostrictive actuators via topology optimization

In this paper, a new design method is presented for achieving remote wireless shape morphing of laminated composite structures using topology optimization methods. A recently emerging family of smart materials, photostrictive materials, is introduced as the actuation discipline to implement the active control of optical structures by utilizing the photostriction mechanism, which arises from the superposition of photovoltaic effect and converse piezoelectric effect when exposed to the illumination of near ultraviolet light. In terms of the Mindlin plate theory of first-order shear deformation, a finite element formulation including multiphysics effects of photovoltaic, pyroelectric and thermal expansion is developed to model composite structures of ferroelectric materials polarized in 0–1 and 0–3 directions, respectively. The design is formulated as a multi-constrained optimization problem with a least square objective function to minimize structural shape errors. The topology optimization method is used as a systematic design approach to seek the optimal topologies of material layouts for both the photostrictive and host layers as well as the actuator light distribution. In terms of design sensitivity analysis, many gradient-based optimization algorithms can be applied to solve the problem effectively. Numerical examples are presented to demonstrate the effectiveness of this method in the field of active photonic control of laminated composite structures.     

阻尼夹芯复合材料加筋板的振动分析与数值模拟

以阻尼夹芯复合材料加筋板为研究对象,依据一阶剪切变形理论(FSDT)和Hamilton原理,推导板和加强筋的应变能、动能表达式,采用变分原理建立控制微分方程,根据相关边界条件和傅里叶级数求解方程。建立了ANSYS阻尼夹芯复合材料加筋板的有限元模型,该模型考虑到阻尼夹芯复合材料加筋板中阻尼材料与纤维预浸料间的结合方式,用模态应变能有限元数值模拟方法研究了结构的动力学性能,并通过对数值模拟结果与理论解的比较,验证了模型的合理性和有效性。探讨了不同的筋条尺寸、不同的筋条数量、不同的筋条分布方式对阻尼夹芯复合材料加筋板动力学性能的影响,得出了阻尼夹芯复合材料加筋板的一阶模态频率和损耗因子随不同参数的变化曲线,其结论为阻尼夹芯复合材料加筋板的优化设计提供参考。     

Computational strategy for multiobjective optimization of composite stiffened panels

This paper presents a multiobjective optimization methodology for composite stiffened panels. The purpose is to improve the performances of an existing design of stiffened composite panels in terms of both its first buckling load and ultimate collapse or failure loads. The design variables are the stacking sequences of the skin and of the stiffeners of the panel. The optimization is performed using a multiobjective evolutionary algorithm specifically developed for the design of laminated parts. The algorithm takes into account the industrial design guidelines for stacking sequence design. An original method is proposed for the initialization of the optimization that significantly accelerates the search for the Pareto front. In order to reduce the calculation time, Radial Basis Functions under Tension are used to approximate the objective functions. Special attention is paid to generalization errors around the optimum. The multiobjective optimization results in a wide set of trade-offs, offering important improvements for both considered objectives, among which the designer can make a choice.