An efficient approach for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations

An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations.The concentrated plastic hinges,described by the Bouc-Wen model,are assumed to occur at the two ends of a linear-elastic beam element.The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations.Then,the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems.To solve the equation of motion for equivalent linear systems,the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency.Finally,the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology,which provides a new way of obtaining the equivalent linear systems at different time instants.Based on the explicit time-domain method,the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency.Numerical examples indicate that the proposed approach has high computational efficiency,and shows good applicability to weak nonlinear and medium-intensity nonlinear systems.

Topological and Shape Optimization of Flexure Hinges for Designing Compliant Mechanisms Using the Level Set Method

A flexure hinge is a major component in designing compliant mechanisms that o ers unique possibilities in a wide range of application fields in which high positioning accuracy is required. Although various flexure hinges with di erent configurations have been successively proposed, they are often designed based on designers' experiences and inspirations. This study presents a systematic method for topological optimization of flexure hinges by using the level set method. Optimization formulations are developed by considering the functional requirements and geometrical constraints of flexure hinges. The functional requirements are first constructed by maximizing the compliance in the desired direction while minimizing the compliances in the other directions. The weighting sum method is used to construct an objective function in which a self-adjust method is used to set the weighting factors. A constraint on the symmetry of the obtained configuration is developed. Several numerical examples are presented to demonstrate the validity of the proposed method. The obtained results reveal that the design of a flexure hinge starting from the topology level can yield more choices for compliant mechanism design and obtain better designs that achieve higher performance.

Optimizing the Qusai-static Folding and Deploying of Thin-Walled Tube Flexure Hinges with Double Slots

The thin-walled tube flexure（TWTF） hinges have important potential application value in the deployment mechanisms of satellite and solar array, but the optimal design of the TWTF hinges haven＇t been completely solved, which restricts their applications. An optimal design method for the qusai-static folding and deploying of TWTF hinges with double slots is presented based on the response surface theory. Firstly, the full factorial method is employed to design of the experiments. Then, the finite element models of the TWTF hinges with double slots are constructed to simulate the qusai-static folding and deploying non-linear analysis. What＇s more, the mathematical model of the TWTF flexure hinge quasi-static folding and deploying properties are derived by the response surface method. Considering of small mass and high stability, the peak moment of quasi-static folding and deploying as well as the lightless are set as the objectives to get the optimal performances. The relative errors of the objectives between the optimal design results and the FE analysis results are less than 7%, which demonstrates the precision of the surrogate models. Lastly, the parameter study shows that both the slots length and the slots width both have significant effects to the peak moment of quasi-static folding and deploying of TWTF hinges with double slots. However, the maximum Mises stress of quasi-static folding is more sensitive to the slots length than the slots width. The proposed research can be applied to optimize other thin-walled flexure hinges under quasi-static folding and deploying, which is of great importance to design of flexure hinges with high stability and low stress.

Design and Experiment of Triangular Prism Mast with Tape-Spring Hyperelastic Hinges

Because of the limited space of the launch rockets, deployable mechanisms are always used to solve the phenomenon. One dimensional deployable mast can deploy and support antenna, solar sail and space optical camera. Tape-spring hyperelastic hinges can be folded and extended into a rod like configuration. It utilizes the strain energy to realize self-deploying and drive the other structures. One kind of triangular prism mast with tape-spring hyperelastic hinges is proposed and developed. Stretching and compression stiffness theoretical model are established with considering the tape-spring hyperelastic hinges based on static theory. The finite element model of ten-module triangular prism mast is set up by ABAQUS with the tape-spring hyperelastic hinge and parameter study is performed to investigate the influence of thickness, section angle and radius. Two-module TPM is processed and tested the compression stiffness by the laser displacement sensor, deploying repeat accuracy by the high speed camera, modal shape and fundamental frequency at cantilever position by LMS multi-channel vibration test and analysis system, which are used to verify precision of the theoretical and finite element models of ten-module triangular prism mast with the tape-spring hyperelastic hinges. This research proposes an innovative one dimensional triangular prism with tape-spring hyperelastic hinge which has great application value to the space deployable mechanisms.

Simulation optimal design of a compliant mechanism with circular notch flexure hinges based on the equivalent beam methodology

This paper presents an in-depth study of Equivalent beam model (EBM).Firstly three-dimensional (3D) finite element analysis (FEA) model for circular flexure hinge developed by Zettl et al.was verified by the comparison with Smith's experimental results and the 3D FEA model was feasible within 5.5% error.Then the accuracy of Timoshenko short-beam due to shear force was verified based on finite element method.The results showed that the EBM has good accuracy within 5% error for 1≤r/t≤3.Finally the EBM methodology was applied for the simulation optimal design of a bridge-type compliant mechanism.The results showed that the EBM methodology has very high numerical efficiency and satisfactory accuracy for simulation optimal design of planar compliant mechanism with flexure hinges.

A method to Estimate Dynamic Responses of VLFS Based on Multi-Floating-Module Model Connected by Elastic Hinges

Based on the elastic foundation beam theory and the multi-floating-module hydrodynamic theory,a novel method is proposed to estimate the dynamic responses of VLFS(Very Large Floating Structure).In still water,a VLFS can be simplified as an elastic foundation beam model or a multi-floating-module model connected by elastic hinges.According to equivalent displacement of the two models in static analysis,the problem of rotation stiffness of elastic hinges can be solved.Then,based on the potential flow theory,the dynamic responding analysis of multi-floatingmodule model under wave loads can be computed in ANSYS-AQWA software.By assembling the time domain analysis results of each module,the dynamic responses of the VLFS can be obtained.Validation of the method is conducted through a series of comparison calculations,which mainly includes a continuous structure and a three-part structure connected by hinges in regular waves.The results of this paper method show a satisfactory agreement with the experiment and calculation data given in relative references.

Analysis of the Micro-Rotation Compliant Mechanism Based on the Corner-Filleted Flexure Hinges

The purpose of this thesis is to derive the flexibility formula of the corner-filleted flexure hinge easily and conveniently and use it to design a micro-rotation compliant mechanism. Firstly,we get the corner-filleted flexure hinge flexibility formula by methods of symmetry transformation and coordinates translation. The correctness of this formula is validated on the basis of the finite element method and under the premise that the effects of shear stress are taken into consideration. Then a micro-rotation compliant mechanism is designed in accordance with the corner-filleted flexure hinge,and the deduction and analysis of its working moment/rigidity are conducted. Moreover,this theoretical formula is proved to be accurate and reliable through the finite element analysis and the experimental verification,based on which the structural design and optimization can be made on the rotating part of a micro adjustment device. The results illustrate that designing and optimizing the structures by the analysis model is convenient and reliable so that complicated 3D modeling and finite element analysis are not needed.

Efficiency of employing fiber-based finite-length plastic hinges in simulating the cyclic and seismic behavior of steel hollow columns compared with other common modelling approaches

The accuracy and effi ciency of the modelling techniques utilized to model the nonlinear behavior of structural components is a signifi cant issue in earthquake engineering. In this study, the suffi ciency of three diff erent modelling techniques that can be employed to simulate the structural behavior of columns is investigated. A fi ber-based fi nite length plastic hinge (FB-FLPH) model is calibrated in this study. In order to calibrate the FB-FLPH model, a novel database of the cyclic behavior of hollow steel columns under simultaneous axial and lateral loading cycles with varying amplitudes is used. By employing the FB-FLPH model calibrated in this study, the interaction of the axial force and the bending moment in columns is directly taken into account, and the deterioration in the cyclic behavior of these members is implicitly considered. The superiority of the calibrated FB-FLPH modelling approach is examined compared with the cases in which conventional fi ber-based distributed plasticity and concentrated plasticity models are utilized. The effi ciency of the enumerated modelling techniques is probed when they are implemented to model the columns of a typical special moment frame in order to prove the advantage of the FB-FLPH modelling approach.

Influence of Confined Concrete Models on the Seismic Response of RC Frames

In this study, the influence of confined concrete models on the response of reinforced concrete structures is investigatedat member and global system levels. The commonly encountered concrete models such as Modified Kent-Park, Saatçioğlu-Razvi, and Mander are considered. Two moment-resisting frames designed according to thepre-modern code are taken into consideration to reflect the example of an RC moment-resisting frame in thecurrent building stock. The building is in an earthquake-prone zone located on Z3 Soil Type. The inelasticresponse of the building frame is modelled by considering the plastic hinges formed on each beam and columnelement for different concrete classes and stirrups spacings. The models are subjected to non-linear static analyses.The differences between confined concrete models are comparatively investigated at both reinforced concretemember and system levels. Based on the results of the comparative analysis, it is revealed that the column behaviouris mostly influenced by the choice of model, due to axial loads and confinement effects, while the beams areless affected, and also it is observed that the differences exhibited in the moment-curvature response of columncross-sections do not significantly affect the overall behaviour of the global system. This highlights the critical roleof model selection relative to the concrete strength and stirrup spacing of the member.

Predetermination of potential plastic hinges on reinforced concrete frames using GFRP reinforcement

In the past,glass fiber-reinforced polymer(GFRP)-reinforcement has been successfully applied in reinforced concrete(RC)structures where corrosion resistance,electromagnetic neutrality,or cuttability were required.Previous investigations suggest that the application of GFRP in RC structures could be advantageous in areas with seismic activity due to their high deformability and strength.However,especially the low modulus of elasticity of GFRP limited its wide application as GFRP-reinforced members usually exhibit considerably larger deformations under service loads than comparable steel-reinforced elements.To overcome the aforementioned issues,the combination of steel and GFRP reinforcement in hybrid RC sections has been investigated in the past.Based on this idea,this paper presents a novel concept for the predetermination of potential plastic hinges in RC frames using GFRP reinforcement.To analyze the efficiency of the concept,nonlinear finite element simulations were performed.The results underscore the high efficiency of hybrid steel-GFRP RC sections for predetermining potential plastic hinges on RC frames.The results also indicate that the overall seismic behavior of RC structures could be improved by means of GFRP as both the column base shear force during the seismic activity as well as the plastic deformations after the earthquake were considerably less pronounced than in the steel-reinforced reference structure.

New physics of supersonic ruptures

Until recently,it is believed that the rupture speed above the pressure wave is impossible since spontaneously propagating ruptures are driven by the energy released due to the rupture motion,which is transferred through the medium to the rupture tip region at the maximum speed equal to the pressure wave speed.However,the apparent violation of classic theories has been revealed by new experimental results demonstrating supersonic shear ruptures.This paper presents a detailed analysis of the recently discovered shear rupture mechanism(fan hinged),which suggests a new physics of energy supply to the tip of supersonic ruptures.The key element of this mechanism is the fan‐shaped structure of the head of extreme ruptures,which is formed as a result of an intense tensile cracking process with the creation of intercrack slabs that act as hinges between the shearing rupture faces.The fan structure is featured with the following extraordinary properties:extremely low friction approaching zero;amplification of shear stresses above the material strength at low applied shear stresses;creation of a self‐disbalancing stress state causing a spontaneous rupture growth;abnormally high energy release;generation of driving energy directly at the rupture tip which excludes the need to transfer energy through the medium.The fan mechanism operates in intact rocks at stress conditions corresponding to seismogenic depths and in pre‐existing extremely smooth interfaces due to identical tensile cracking processes at these conditions.This is Paper 1(of two companion papers)which discusses the fan theory and extreme ruptures in experiments on extremely smooth interfaces.Paper 2 entitled“Fan‐hinged shear instead of frictional stick‐slip as the main and most dangerous mechanism of natural,induced and volcanic earthquakes in the earth's crust”considers extreme ruptures in intact rocks.Further study of this subject is a major challenge for deep underground science,earthquake and fracture mechanics,physics,and tribology.

基于次梯度的L1正则化Hinge损失问题求解研究

Hinge损失函数是支持向量机(support vector machines,SVM)成功的关键,L1正则化在稀疏学习的研究中起关键作用.鉴于两者均是不可导函数,高阶梯度信息无法使用.利用随机次梯度方法系统研究L1正则化项的Hinge损失大规模数据问题求解.首先描述了直接次梯度方法和投影次梯度方法的随机算法形式,并对算法的收敛性和收敛速度进行了理论分析.大规模真实数据集上的实验表明,投影次梯度方法对于处理大规模稀疏数据具有更快的收敛速度和更好的稀疏性.实验进一步阐明了投影阈值对算法稀疏度的影响.

平滑削边绝对偏离惩罚截断Hinge损失支持向量机的财务危机预报

针对传统支持向量机(SVM)分类存在对离群点敏感、支持向量(SV)个数多和分类面参数非稀疏的问题,提出了平滑削边绝对偏离(SCAD)惩罚截断Hinge损失SVM(SCAD-TSVM)算法,并将其用于构建财务预警模型,同时就该模型的求解设计了一个迭代更新算法。结合沪深股市A股制造业上市公司的财务数据进行实证分析,同时对比L1范数惩罚SVM、SCAD惩罚SVM和截断Hinge损失SVM(TSVM)构建的T-2和T-3模型,结果发现SCAD-TSVM构建的T-2和T-3模型都具有最好的稀疏性和最高的预报精度,而且其在不同训练样本数上的平均预测准确率都要比L1范数SVM(L1-SVM)、SCAD-SVM和TSVM算法的高。

直接优化AUC进行网络链接预测

快速扩展的互联网形成了具有高维、稀疏和冗余特性的复杂网络.因此需要有效的技术从这些复杂网络数据中提取出最为重要的信息进行链接预测,以便为用户服务.本文提出一种基于AUC(Area under Curve)优化的链接预测算法.在该算法中,将AUC作为优化的目标函数,将链接预测问题转化为二分分类问题.将顶点之间是否存在链接作为它所在的类的标号.通过优化AUC来进行二分分类,使用铰链函数按随机次梯度下降算法迭代更新权重矩阵.最后在一些来自不同领域的真实网络上对本算法进行了测试.实验结果表明,本算法与其他算法的结果相比可以实现更高质量的预测.

基于Hinge损失函数的垂向全变差约束全波形反演

全波形反演可以为叠前深度偏移成像提供更高精度的速度模型,但该方法具有较强的非线性,对初始速度模型的依赖性较强,尤其是在实际应用中,地质条件复杂多变,速度变化不连续,增加了反演非线性程度,常常使反演陷入局部极小值,影响反演的精度.全变差约束在图像去噪领域应用广泛,属于非光滑约束,在去噪过程中能有效的保留图像的不连续界面和边缘信息.本文提出基于Hinge损失函数的垂向全变差约束全波形反演方法,在全变差约束的基础上,利用Hinge损失函数控制模型的更新方向,并使用原-对偶混合梯度算法进行求解,给出这一优化问题的迭代格式,有效提高了对地下不连续界面的重构精度,同时也降低反演对初始速度模型的依赖程度.数值算例证明:与常规全波形反演方法相比,基于全变差约束的全波形反演方法可以有效的重构速度模型中的不连续界面,尤其对高速体边缘的重构效果更明显,但该方法对初始速度模型的依赖性仍然较强;基于Hinge损失函数的垂向全变差约束全波形反演方法降低了对初始速度模型的依赖程度,可以从一个较差的初始模型通过循环迭代的方式最终得到同样精确的速度模型,较好的重构了高速体边缘和不连续界面.

A Novel 2D Piezo-Nanopositioning Stage Based on Triangle Amplifier Mechanism

To satisfy the demand on dynamic performance and load characteristics of piezoelectric actuators in aeronautics and astronautics fields,a novel 2Dpiezo-nanopositioning stage utilizing a triangle amplifier mechanism is proposed.The stage is driven by piezoelectric rhombic units in both X and Ydirections,which is composed of four piezoelectric stacks.Theoretical static model develops the relationships among output force,displacement,static stiffness and the structure parameters of the platform.The experimental results of the prototype show that the output performances in X and Ydirections are similar and both of them are within an 8% deviation from the theoretical values.The stroke of the stage reaches 41.6μm and 42.9μm in Xand Ydirections,respectively,and is directly proportional to the amplitude of the input sinusoidal voltage 10 Hz.Moreover,the nano-positioning stage is featured with bidirectional symmetrical output characteristic and millisecond starting characteristic,whose minimum output displacement step is 50 nm.

封面图片说明

形状记忆聚合物SMP（shape memory polymer）是指具有某一特定的初始形状,在一定条件下变形固定后,通过热、电、磁等外部条件的刺激,能够恢复至其初始形状的聚合物,其密度低、可大尺寸成形、形变大.它具有形状记忆特性、自锁紧特性和大刚度变化特性,在航天航空、生物医学等领域的应用备受关注.基于形状记忆聚合物复合材料的铰链和桁架等空间展开结构和锁紧释放机构,通过材料和结构自身的变形实现结构的展开、驱动和释放,无需机械、电机和火工品等驱动装置,具有冲击小、重量轻、结构简单、展开稳定和可靠性高等优点．

一种求解截断Hinge损失的软阈值坐标下降算法

有效地减少支持向量数目能够提高分类器的鲁棒性和精确性,缩短支持向量机(support vector machine,SVM)的训练和测试时间.在众多稀疏算法中,截断Hinge损失方法可以显著降低支持向量的数目,但却导致了非凸优化问题.一些研究者使用CCCP(concave-convex procedure)方法将非凸问题转化为多阶段凸问题求解,不仅增加了额外计算量,而且只能得到局部最优解.为了弥补上述不足,提出了一种基于CCCP的软阈值坐标下降算法.用坐标下降方法求解CCCP子阶段凸问题,提高计算效率;对偶SVM中引入软阈值投影技巧,能够减少更多的支持向量数目,同时选择合适的正则化参数可消除局部最优解的不良影响,提高分类器的分类精度.仿真数据库、UCI数据库和大规模真实数据库的实验证实了所提算法正确性和有效性.

一种非光滑损失坐标下降算法

针对非光滑损失问题提出一种新的坐标下降算法,采用排序搜索的方式求解子问题解析解。分析了算法的时间复杂度,并给出了三种提高收敛速度的实用技巧。实验表明算法对正则化Hinge损失问题具有良好的性能,达到了预期的效果。

基于改进支持向量机的药品包装纸盒快速鉴别研究

目的为实现在司法鉴定中对药品包装纸盒类检材的简单快速无损检验。方法利用X射线荧光光谱法,以Rh做阳极靶,在电压为50 kV、电流为30μA、功率为1.5 kW的条件下,对40组不同产地、不同厂家的药品包装纸盒样本进行检验。依据药品包装纸盒的化学元素组成对样本设置标签,建立蒙特卡洛算法(Monte Carlo Algorithm,MC)优化下的支持向量机(Support Vector Machine,SVM)分类模型,对惩罚因子进行仿真寻优,同时结合分治算法实现折半查找,使迭代过程具有自我学习能力,最终基于K-fold交叉验证,得到兼具拟合性和衍生性的惩罚因子组。结果计算机模拟结果表明,当3组支持向量机惩罚因子设置为933、280、732时,MC-SVM模型可实现对100%的训练集的拟合以及90%的预测集的分类,Hinge Loss函数最低损失值为0.0938。结论此方法可为药品包装纸盒类物证的检验以及支持向量机的参数优化提供新思路。