Hysteresis Behaviour of 51CrV4 and Viscoplastic Modeling Aspects

In this work we investigate the material behaviour of steel 51CrV4 in classical uniaxial strain controlled tension tests of different strain rates interposed by relaxation steps, in which the equilibrium stress observed is significantly smaller than the stresses seen in slowest strain rate test. Also, some cyclic experiments with different strain rates and amplitudes were done to analyze the hysteresis behaviour of the material. Against this background of experimental data the modeling possibilties of two models are explored: the Lion model and the Chaboche model with kinematic hardening ansatz. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Modelling and Parameter Identification of a Formula Student Car

A modelling approach is described using the modules vehicle body, front axle and rear axle. All these modules are virtually assembled by CAD software and Simpack, a commercial multibody dynamics tool. The geometrical data are found from the CAD model while the mechanical data for the entire vehicle are evaluated by parameter identification based on mechanical principles. In detail, the static measurement and error analysis of the center of mass is explained as well as the dynamic tests to identify the moments of inertia of the car. Further, spring and damper characteristics are identified. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Parameter Identification by Inverse Modelling of Biaxial Tensile Tests for Discontinous Fiber Reinforced Polymers

In the present article we discuss the characterization of the mechanical properties of long fiber reinforced thermoplastics (LFT) and sheet molding compounds (SMC) with biaxial tensile tests and the inverse parameter identification. The full 3D strain field is measured via digital image correlation (DIC). The anisotropic viscoelastic material properties are identified through inverse modelling by comparison of the heterogeneous experimental and simulated strain fields. A Gauss-Newton type algorithm is used to identify the optimal parameter set [1]. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Investigation,Modelling and Analysis of stiffened GFRP-Samples

Glasfibre structures feature high potentials for optimization and substitution of conventional materials like steel and aluminum and their alloys. The paper deals with the insertion of glasfibre trusses into thin glasfibre structures to reinforce them. The effective material properties of the glasfibre structures were estimated by experiments and simulations. Furthermore the Young's modulus of the trusses was obtained by bending tests and tension tests. A comparison between bending experiments and bending simulations is given. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Modeling,Simulation and Parameter Identification for Rate-Dependent Magnetoactive Polymer Response

A finite deformation framework for nonlinear magneto-viscoelasticity is introduced and applied to the constitutive and structural modeling of magnetoactive polymer (MAP) response. In this thermodynamically-consistent formulation the free energy function consists of purely elastic, purely magnetic and coupling contributions, where the rate-dependence is fully attributed to the non-magnetizable matrix material. The model consistently accounts for saturation in the magnetic as well as the magnetostrictive behavior. The identification of material parameters from experimental data is briefly described. Finally, a finite element model for the large strain magneto-mechanical problem is established and tested considering MAP behavior. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

经典SIR模型辨识和参数估计问题

可辨识与否是模型的基本特性,也是研究模型参数估计的基础．在传染病动力学中,SIR模型仍是最常用的模型．该文研究了如何用高阶导数法与多观测点法判定SIR模型的可辨识性．研究表明针对SIR模型的可辨识技巧中多观测点法优于高阶导数法．不仅从理论上判定了SIR模型的可辨识性,而且结合流感疫情数据通过参数估计进一步验证了SIR模型的可辨识性．文中发展的技巧和方法有望推广到其他类型的传染病模型辨识和参数确定上．     

Construction of Invertible Input-Output Mappings and Parameter Identification

The problem of continuation of an input-output mapping to a right invertible mapping is solved. The proposed solution is based on transforming the system to a normal form and solving the problem for such systems. The well-known Singh inversion algorithm is modified to calculate the normal forms. It is proved that each step of the modified algorithm can be realized and the result of the algorithm application is a normal form. A new approach to the parameter identification problem based on the inversion of the input-output mapping is proposed to illustrate the application of the results.     

分布参数系统辨识的必要条件(英文)

考虑了辨识下列方程中算子值参数Ｂ的必要条件,代价泛函为：证明了：最佳估计Ｂ０由一个优化系统确定,而该优化系统由状态方程、伴随方程和优化条件组成．     

一类非光滑分布参数系统的可辨识性及最优性条件

变压器温度场参数辨识问题是一种分片光滑的分布参数辨识问题,以流速为辨识参数,针对传质传热的一类分布参数系统参数辨识问题,证明了系统最优参数的存在性和控制参数为最优的必要条件,为变压器温度场的数值模拟研究提供了理论基础.     

Modelling of Shape Memory Alloys and Experimental Verification

Prestrained shape memory alloys change their length when heated above their transformation temperature. This effect can be used to generate high forces in a small workspace, which has particular advantages in actuator design. The optimization and control of the shape memory actuator requires a comprehensive simulation of the material behavior. However, many of the existing models are limited to specific load cases or offer rough approximations only. A material model for shape memory alloys from Seelecke [1] is examined in this paper. This model describes the behavior of a shape memory wire, which is heated by electric current. It is implemented in a simulation program to investigate the actuator output and to improve the performance. Finally, the parameters of the simulation are adapted to experimental results.     

Experimental Observations on Superelastic NiTi-Shape Memory Alloys and Suggestions for Modelling

During stress-induced transformation NiTi shows a distinct generation of transformation bands. A simple one-dimensional model for superelastic NiTi wires has been developed to show exemplarily methods to account for these bands in plasticitybased models. To clarify the dependence of the transformation bands on the distribution of latent heat and therefore on the mechanical behaviour, optical and thermographical experiments have been performed. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Dynamic Modelling and Identification of a Waterjet Cutting System

This paper describes a new dynamic model for a waterjet cutting system that includes a double-acting reciprocating intensifier pump. Since the system operates at high pressures the fluid flow is assumed to be compressible. The dynamic model includes the characteristics of the intensifier pump, the check valves, the accumulator, the system piping and compressible jet flow through the nozzle. The system model is presented as a set of differential-algebraic equations. Experimental results for an actual system are used to identify the discharge coefficient of the nozzle, certain unknown parameters associated with the check valve, and to determine the velocity profile of the piston in the intensifier pump. This is accomplished by formulating and solving a parameter optimization problem. The paper also includes numerical simulation results that validate the dynamic model.     

垂直裂缝气井生产动态预测及参数识别

为了摆脱分析解释水力压裂裂缝参数时选择图版的繁复工作和克服人为的误差,在引入非达西因子的基础上,考虑裂缝导流能力在生产过程中的变化,提出了垂直裂缝气井中真实气体在地层-裂缝系统中非达西渗流的数学模型和生产动态预测模型,建立了识别垂直裂缝气井水力裂缝参数的生产历史自动拟合模型,并给出了数值解法,为认识和了解气层、分析和评估气井压裂施工质量,提供了准确可靠的方法。     

Feng混沌系统参数识别及自适应模糊控制器的反步设计

设计了参数观测器,对Feng混沌系统中未知参数进行识别.采用反步控制方法,在存在输入扰动项的情况下,构造模糊自适应控制器控制Feng混沌系统.模糊逻辑系统用来逼近反步控制方法中出现的未知、非线性且结构复杂的函数.和传统的反步控制方法相比,本文采用的控制器结构简单,易于实现.仿真的结果验证了本文控制方法的有效性.     

Adaptive FEM with Stabilized Elements for Parameter Identification of Incompressible Hyperelastic Materials

This work is concerned with the identification of material parameters for isotropic, incompressible hyperelastic material models. Besides the principal stretch-based strain-energy function by Ogden an invariant-based strain-energy function by Rivlin/Saunders is considered for which parameter sensitivities are derived. The identification is formulated as a least-squares minimization problem based on the finite element method to account for inhomogeneous states of stresses and strains in the experimental data which is obtained by optical measurements. For the finite element method low-order tetrahedral elements in a mixed displacement-pressure formulation with stabilization are considered. Special attention is payed to an adaptive mesh-refinement based on a goal-oriented a posteriori error indicator to gain reliable material parameters. To approximate error terms an element-wise recovery technique based on enhanced gradients is introduced. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

抑制剂作用下肿瘤生长模型的参数识别

该文考虑抑制剂作用下肿瘤生长的模型. 假设肿瘤是球对称的, 其表面为运动边界, 用函数r=R(t)表示. 既然多细胞肿瘤扁球体(MTS)通常作为肿瘤生长的体外模型, 在实验室能够被观察和控制, 因此研究如下反问题: 根据观察到的MTS动态增长(即给定R(t)), 来确定抑制剂的参数. 运用极大值原理, 作者证明了该抛物反问题解的唯一性. 进一步, 用最优控制框架来重构模型中的抑制剂参数, 证明了最优控制问题解的存在性, 并推导了最优控制满足的最优性必要条件.     

An Unified Computational Framework for Parameter Identification of Material Models in Finite Inelasticity

Parameter identification processes concern the determination of parameters in a material model in order to fit experimental data. We provide a distinct, unified algorithmic setting of a generic class of material models and discuss the associated gradient–based optimization problem. Gradient–based optimization algorithms need derivatives of the objective function with respect to the material parameter vector κ . In order to obtain the necessary derivatives, an analytical sensitivity analysis is pointed out for the unified class of algorithmic material models. The quality of the parameter identification is demonstrated for a representative example.     

关于HBV及其药物相互作用的反应扩散方程的参数识别

研究具有反应-扩散现象的HBV及其药物相互作用系统的参数识别问题,依该系统正问题解的性质,建立了参数识别问题的数学模型,论证了系统正问题解关于待识别参数的连续依赖性与参数识别问题最优解的存在性.     

基于GPEM主旋律分析的系统序参量识别方法研究

针对系统的演化与发展,引入基于目标规划评价模型(GPEM)的主旋律分析方法,识别引导与支配系统发展的序参量.通过分析主旋律与序参量间的关系,认为在GPEM中的价值参数结构是二者的共同体现,且主旋律分析是序参量识别的前提与基础.应用基于GPEM的主旋律分析方法对系统所属群体进行相关计算,可以获得群体发展的主旋律,同时可以获得群体成员在各主旋律下的排名向量,进而认为与理想排名向量相似系数最高的主旋律在群体发展过程中发挥着关键性作用,则该主旋律对应的价值参数结构即为序参量.通过观察该主旋律所集聚成员在理想排名向量中的位置,来判断与分析序参量的特征.     

线性空间自回归模型的不同惩罚函数下参数估计的比较及其实证分析

在线性空间自回归模型的研究中,本文首次提出了将三种惩罚LASSO,ALASSO,SCAN进行惩罚效果的比较;然后利用惩罚最小二乘进行参数估计,在三种惩罚函数下,进行了模拟分析,并且将三种惩罚估计与拟极大似然估计进行了比较,在实例分析中,针对美国的暴力犯罪问题,在加入空间因素后,讨论了本区域和周边环境的因素对暴力犯罪率的影响。在整理了美国各州的暴力犯罪数据后,我们发现仍然有59个自变量,利用三种惩罚函数,得出在各种惩罚下的压缩估计,经过进一步分析,得出了影响某一区域的暴力犯罪率的主要因素。