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71.
H. Haddadi S. Bouvier M. Banu C. Maier C. Teodosiu 《International Journal of Plasticity》2006,22(12):2226-2271
72.
基于Bayes判别分析法以建立膨胀土判别与胀缩等级分类的Bayes判别分析模型. 模型选用液限,胀缩总率,塑性指数,天然含水率,自由膨胀率等5个指标作为判别因子;将膨胀土的胀缩性分为极强、强、中、弱4个等级并作为Bayes判别分析的4个正态总体;以训练样本建立Bayes线性判别函数,以该函数计算待判样品的Bayes判别函数值,以最大值对应的总体作为样品的归属;以刀切法对判别准则进行评价. 研究表明,该模型以刀切法计算的误判率为13.3%. 相似文献
73.
A. Evgrafov 《ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik》2006,86(1):46-62
We consider the problem of optimal design of flow domains for Navier–Stokes flows in order to minimize a given performance functional. We attack the problem using topology optimization techniques, or control in coefficients, which are widely known in structural optimization of solid structures for their flexibility, generality, and yet ease of use and integration with existing FEM software. Topology optimization rapidly finds its way into other areas of optimal design, yet until recently it has not been applied to problems in fluid mechanics. The success of topology optimization methods for the minimal drag design of domains for Stokes fluids (see the study of Borrvall and Petersson [12]) has lead to attempts to use the same optimization model for designing domains for incompressible Navier–Stokes flows. We show that the optimal control problem obtained as a result of such a straightforward generalization is ill‐posed, at least if attacked by the direct method of calculus of variations. We illustrate the two key difficulties with simple numerical examples and propose changes in the optimization model that allow us to overcome these difficulties. Namely, to deal with impenetrable inner walls that may appear in the flow domain we slightly relax the incompressibility constraint as typically done in penalty methods for solving the incompressible Navier–Stokes equations. In addition, to prevent discontinuous changes in the flow due to very small impenetrable parts of the domain that may disappear, we consider so‐called filtered designs, that has become a “classic” tool in the topology optimization toolbox. Technically, however, our use of filters differs significantly from their use in the structural optimization problems in solid mechanics, owing to the very unlike design parametrizations in the two models. We rigorously establish the well‐posedness of the proposed model and then discuss related computational issues. 相似文献
74.
G. Rauchs 《ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik》2006,86(7):539-562
The calculation of the derivatives of the state variables with respect to material parameters using the direct differentiation method is developed for the case of a finite strain finite element analysis in corotational formulation for material behaviour including hypo‐elasticity and non‐linear isotropic and kinematic hardening plasticity. The sensitivity analysis for the case of flexible‐to‐flexible contact, required in indentation testing, has been included. The derivatives obtained in a rotating‐stretching bar problem are compared to results obtained by the finite difference method in order to verify the suitability of the corotational formulation in sensitivity analysis for dealing with rigid body rotations. Material parameter identification using a gradient‐based numerical optimization procedure is assessed with respect to stability by using pseudo‐experimental indentation curves, obtained from modelling with known material parameters, and superposed with artificial noise. The effect of the load history on parameter identification is investigated. 相似文献
75.
Simulation of mechanized tunneling and on-site excavation require very good knowledge of the geomechanical and material properties. Identification of the material must be fast and continuously performed during tunnel excavation for the best possible strategies for advancing the tunnel boring machine. We present in this work the use of the extended Kalman filter (EKF) for identification of the inclined fault zone ahead of the face. The EKF showed fast and stable convergence of the model parameters under study. In comparison with the particle swarm optimization technique applied to the same back analysis problem, faster convergence of the identified parameters as well as high robustness with respect to the choice of the initial parameter values have been observed. 相似文献
76.
刘宇李兆霞黄跃平周胜 《力学与实践》2010,32(3):35-40
从结构损伤识别的需要出发研究能够准确反映钢构件承载过程中发生的塑性变形和损伤过程的量化测试方法. 用漫反射法测量了钢构件在变形和损伤过程中表面粗糙度变化的图像,依据记录下来的表面图像进一步处理得到构件表面粗糙度的平均灰度值的变化,据此寻找对构件塑性变形和损伤状态相关并且敏感的参数指标. 研究结果表明,基于漫反射法和图像处理得到的钢构件承载过程中表面粗糙度的平均灰度值的变化可以判断金属试样是否发生了塑性变形,并可定量描述试样在塑性变形后期的损伤程度. 相似文献
77.
This paper presents the mathematical approach for the abnormal multiplication of plankton. An abnormal multiplication can be expressed as an unstable problem and the stability of the system is investigated by introducing eigenvalues of a mathematical equation. The stability of the system can be judged by an eigenvalue based on the Lyapunov's stability theory. In this paper, the Arnoldi‐QR method is used to obtain eigenvalues and eigenvectors of the system. The mode superposition method is employed to create spatial distribution needed to analyse the stability. To obtain the objective eigenvalue, the parameter identification technique is employed. The finite element method is used for the discretization in space. Lake Kasumigaura, which is located in Ibaraki Prefecture in Japan, is selected and actual data in 1975, 1976, 1991 and 2000 are used in order to investigate the stability of the specified lake in Japan. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
78.
79.
This paper presents a new parameter and state estimation algorithm for single-input single-output systems based on canonical state space models from the given input–output data. Difficulties of identification for state space models lie in that there exist unknown noise terms in the formation vector and unknown state variables. By means of the hierarchical identification principle, those noise terms in the information vector are replaced with the estimated residuals and a new least squares algorithm is proposed for parameter estimation and the system states are computed by using the estimated parameters. Finally, an example is provided. 相似文献
80.
Marcus R. Garvie Philip K. Maini Catalin Trenchea 《Journal of computational physics》2010,229(19):7058-7071
We present a new algorithm for estimating parameters in reaction–diffusion systems that display pattern formation via the mechanism of diffusion-driven instability. A Modified Discrete Optimal Control Algorithm (MDOCA) is illustrated with the Schnakenberg and Gierer–Meinhardt reaction–diffusion systems using PDE constrained optimization techniques. The MDOCA algorithm is a modification of a standard variable step gradient algorithm that yields a huge saving in computational cost. The results of numerical experiments demonstrate that the algorithm accurately estimated key parameters associated with stationary target functions generated from the models themselves. Furthermore, the robustness of the algorithm was verified by performing experiments with target functions perturbed with various levels of additive noise. The MDOCA algorithm could have important applications in the mathematical modeling of realistic Turing systems when experimental data are available. 相似文献