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    15 August 2006, Volume 27 Issue 8 Previous Issue    Next Issue

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    OriginalPaper
    Minimax robust control of a class of discrete systems with time-delay
    Jiang, Nan (1); Jing, Yuan-Wei (1)
    2006, 27 (8):  827-830.  DOI: -
    Abstract ( 214 )   HTML   PDF (1474KB) ( 930 )  
    For a class of discrete systems with time-delay, a memorial state feedback controller is designed to enable the closed-loop system to be asymptotically stable with a minimum upper bound assigned to the performance index involving the worst uncertainty or disturbance. Defining the minimax robust control of discrete time-delay systems, the existence condition and design method of minimax robust controller are given by the Lyapunov method and LMI (linear matrix inequation). Then by building and solving the convex optimization problem, the optimal upper bound of performance index and parameters of the state feedback controller is given. Some numerical examples are shown to illustrate that the minimax controller can prevent well from disturbance at little expense.
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    Identification and pick-up for contour line on military map
    Xie, Jian-Hua (1); Liu, Chun-Mei (1); Jing, Yuan-Wei (1)
    2006, 27 (8):  831-834.  DOI: -
    Abstract ( 273 )   HTML   PDF (315KB) ( 757 )  
    To pick up directly the contours on a military map made from paper, such theories as image segmentation, chroma analysis and mode identification are applied to analyzing the causes of color error in the data by map scanning. According to the characteristics of the model of each color space, the necessity of color space transformation is discussed and the method of the image segmentation is presented. Experiment results show the effectiveness of the proposed method.
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    Analysis of convergence rate for iterative learning control
    Piao, Feng-Xian (1); Zhang, Qing-Ling (1); Wang, Zhe-Feng (2)
    2006, 27 (8):  835-838.  DOI: -
    Abstract ( 392 )   HTML   PDF (1412KB) ( 1210 )  
    The convergence rate is analyzed for both D-type and P-type learning laws in linear time-invariant control system. A sufficient condition is given by the Frobenius norm and time-weighted norm to guarantee the convergence of D-type and P-type learning laws. Furthermore, the quantitative relation between iterative number and the relation between convergence rate and constraint condition are given. Simultaneously, the approach to choosing the gain matrix for D-type/P-type learning law so as to get highest convergence rates is given by gradient flow and the property of Frobenius norm. Numerical simulation shows the effectiveness of the proposed method.
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    Observer-based fault tolerant control of time delayed systems
    Zhang, Ying-Wei (1); Wang, Xiao-Gang (1); Wang, Ming-Shun (1); Zhang, Yan-Xin (1)
    2006, 27 (8):  839-842.  DOI: -
    Abstract ( 304 )   HTML   PDF (171KB) ( 670 )  
    With respect to the faults of multiple actuators or sensors, i.e., Ωa⊃{1, 2, &mellip;, m} and Ωs⊃{1, 2, &mellip;, q} which mean the selectable subsets of fault-prone actuators or sensors are both tolerable to robust fault-tolerant control, a new method based on observer is proposed for fault-tolerant control of time-delayed systems, which is also a new design method for time-delayed fault-tolerant observer. The design is done the way the K, L and Kd are determined by analyzing the extended system where the observation errors are added to and, according to the current state is normal or of failed control channel, the design procedure finally becomes the solution to LMI to stabilize asymptotically the closed-loop control system.
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    Transmission network optimization planning based on hybrid PSO
    Ren, Ping (1); Gao, Li-Qun (1); Wang, Ke (1); Li, Nan (2)
    2006, 27 (8):  843-846.  DOI: -
    Abstract ( 247 )   HTML   PDF (150KB) ( 505 )  
    During the optimization of transmission network planning which is regarded as a problem of multi-objective mathematical optimization, the three influencing factors are taken into account, i.e., investment cost, reliability and its effect on environment. To overcome the drawbacks of conventional mathematical optimization, such as local optimization and dimension disasters, the particle swarm optimization (PSO) is firstly introduced into the optimization of transmission network planning, and an optimal scheme is thus formulated. With a practical project exemplified, the PSO shows its methodological feasibility and efficiency. Compared with the existing planning methods, PSO provides the advantage of shorter time in searching and results in a solution closer to the optimum one.
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    Face recognition based on kernel PCA
    Zhao, Li-Hong (1); Sun, Yu-Ge (1); Cai, Yu (1); Xu, Xin-He (1)
    2006, 27 (8):  847-850.  DOI: -
    Abstract ( 461 )   HTML   PDF (423KB) ( 2041 )  
    KPCA extracting principal component with nonlinear method is an improved conventional PCA. The Kernel Principal Component Analysis (KPCA), is used in face recognition, which can make full use of the high correlation between different face images for feature extraction by selecting the proper kernel function. So KPCA can extract the feature set more suitable in categorization than classical conventional PCA. Based on ORL face database, recognizes correlation coefficients of principal component extracted by KPCA. Experimental results demonstrate that KPCA is not only good at dimensional reduction, but available to get better performance than conventional PCA, of which the correct recognition rate is up to 92.5%.
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    Algorithm of nonlinear image interpolation segmentation based on distance mask
    Yang, Jin-Zhu (1); Zhao, Da-Zhe (1); Xu, Xin-He (2)
    2006, 27 (8):  851-854.  DOI: -
    Abstract ( 264 )   HTML   PDF (550KB) ( 832 )  
    In medical microtomy, the ROI (region of interest) in image is needed to be picked up via image segmentation and to be 3D reconstructed. An algorithm of nonlinear image interpolation segmentation is thus presented on the based of distance mask to rise above effectively the difficulty of images of soft tissue because of the non-uniform distribution of gray level. The algorithm can quickly pick up ROI. The experiment showed that the algorithm can generate accurate result and it has successfully been applied to the 3D medical image visualization and reconstruction system.
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    Minimum slope method for choosing regularization parameter in ECT image reconstruction
    Yang, Gang (1); Shao, Fu-Qun (1); Wang, Shi (1)
    2006, 27 (8):  855-858.  DOI: -
    Abstract ( 277 )   HTML   PDF (264KB) ( 850 )  
    Image reconstruction for electrical capacitance tomography is an inverse problem and is often ill posed. A new solution is proposed to the ill-posed inverse problem, i.e., choosing the Tikhonov regularization parameter within the minimum-slope curve segment. However, in the capacitance measurement data are perturbed, the sensitivities of some regularized solution to such ill-posed are lower than other solutions. For this reason, in the new solution a definitive criterion is taken to choose one of those insensitive regularized solution and a regularization parameter corresponding to the solution chosen is taken as the optimal value. Simulation tests of capacitance data measurement with noise were conducted and two typical permittivity distributions to compare the two results of image reconstruction to which the regularization parameter was calculated by choosing it within the minimum-slope curve segment and by the prevailing L-curve approach. It is shown that the effect of the image reconstruction by the former is better than by the latter.
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    One-channel SEMG signal recognition based on wavelet transform and K-L expansion
    Jia, Xue-Qin (1); Wang, Xu (1); Li, Jing-Hong (1); Yang, Dan (1)
    2006, 27 (8):  859-862.  DOI: -
    Abstract ( 258 )   HTML   PDF (1097KB) ( 656 )  
    Uses the one-channel SEMG signal to recognize such actions as elbow flextion, elbow extension, forearm supination and forearm pronation, of which the signal sampling is 20 times as large as the highest frequency of SEMG. Although such an oversampling procedure reduces the background noise, it brings heavy job to calculation. However, the decimation and filtering can convert the sampling rate into Nyquist frequency and maintain the signal with lower noise. Using wavelet transform, the five relative energies in five sub-bands and the total energy of SEMG are obtained as primary characteristic vector comprising 6 dimensions. Then by K-L expansion, the primary characteristic vector with 6 dimensions is changed to that with 2 dimensions. Using BP networks as the classifier, the characteristic vector with 2 dimensions can maintain highly accurate recognition rate which isn't lower than the rate of multi-channel systems.
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    Random number generator based on weierstrass function
    Zhang, Xiang-De (1); Zhu, He-Gui (1); Ding, Chun-Yan (1)
    2006, 27 (8):  863-866.  DOI: -
    Abstract ( 259 )   HTML   PDF (1158KB) ( 588 )  
    The effects of what values the a, b, x take in the Weierstrass function ∑ai cos(biπx) on the randomness of the sequence {xn} are studied. It is proved that it will generate an unpredictable good random sequence {xn} when b>1. Then, a random number generator is designed for data encryption. Compared with other generators, it has several merits such as the unpredictability of the sequence, bigger secret key space, smaller storage space, simpler algorithm and easier to implement in addition to its long period, quick running speed, high compatibility and reproducibility of good randomness. The security of random number generator is thus enhanced, to a certain extent, thus meeting the requirements of a high-performance generator.
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    Analysis of growth of student network and its fractal characteristics
    Xu, Ye (1); Zhao, Hai (1); Su, Wei-Ji (1); Zhang, Xin (1)
    2006, 27 (8):  867-870.  DOI: -
    Abstract ( 238 )   HTML   PDF (165KB) ( 522 )  
    Analyzes the growth characteristics of some complex networks through a real student network (SN). Based on the logistic model for biocenologic growth, the characteristics of SN which grows oscillatorily are studied to improve the logistic model. The improved model is fitted with float-point GA to form a fitting model and its constringency and confidence are analyzed. Then, the fractal dimension of SN growth is calculated through the time series of SN growth, thus coming to a conclusion that the SN growth process is featured with fractal.
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    Low-frequency electromagnetic casting of ZL201 alloy and its microstructure after reheating
    Lu, Gui-Min (1); Zhao, Da-Zhi (1); Wang, Ping (1); Cui, Jian-Zhong (1)
    2006, 27 (8):  871-874.  DOI: -
    Abstract ( 226 )   HTML   PDF (1137KB) ( 560 )  
    Preparing the semi-solid billets of ZL201 alloy by low-frequency electromagnetic casting (LFEC), the effects of electromagnetic frequency, reheating temperature and holding time on their microstructures were studied. The results showed that the trend of dentritic microstructure is gradually down with increasing electromagnetic frequency from 10 Hz to 30 Hz, and a homogeneous and fine rosette/equiaxial grain microstructure can be obtained at 30 Hz. When reheating the semi-solid billets cast at 30 Hz and 630°C for 20 min, the as-cast microstructure turns gradually into homogeneous and near-spherical grains which are suitable for thixoforming.
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    XPS analysis of chromate passive film deposited on tinplate
    Qi, Guo-Chao (1); Gong, Xue-Nan (2); Sun, De-En (3); Liu, Chun-Ming (1)
    2006, 27 (8):  875-878.  DOI: -
    Abstract ( 260 )   HTML   PDF (198KB) ( 1016 )  
    The composition of chromate passive film deposited on commercial tinplate via a cathodic dichromate treatment was examined with X-ray photoelectron spectroscopy (XPS). The elements Cr, O and Sn are confirmed in the film together with a certain C as amount of contaminant. The thickness of the passivation layer is found about 20 nm. Narrow scan was carried out for the film's phase composition and showed that it consists mainly of Cr(OH)3, Cr2O3, Sn and SnOx, . The formation of chromate conversion film involves the hydrolysis, polymerization, and condensation of Cr(OH)3 and Cr2O3.
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    Shape control simulation software developed for CVC hot strip rolling
    Guo, Zhong-Feng (1); Xu, Jian-Zhong (1); Liu, Xiang-Hua (1); Wang, Guo-Dong (1)
    2006, 27 (8):  879-882.  DOI: -
    Abstract ( 280 )   HTML   PDF (197KB) ( 824 )  
    Based on an analysis of shape control system of CVC hot strip rolling process in a certain stand mill, a strip shape control simulation software was developed according to actual technological process and applied to the off-line simulation of strip control complying with a certain rolling schedule and the result showed that the strip crown can be controlled in target zone. It means that the software is available to be a reference for practical production to save human/material resource. What is more important is that the software is easy to use and maintain with broad prospects in application.
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    Piecewise micro tracking control of finishing temperature during continuous strip hot rolling
    Gong, Dian-Yao (1); Xu, Jian-Zhong (1); Liu, Xiang-Hua (1); Wang, Guo-Dong (1)
    2006, 27 (8):  883-886.  DOI: -
    Abstract ( 225 )   HTML   PDF (194KB) ( 701 )  
    Analyzing the change of strip inter-stand running speed, the cooling process if strip between finishing stands is divided into several segments for calculation. Describes the principle of inter-stand micro tracking and shows the way of rational inter-stand micro tracking for the whole strip. A simulation software for the finishing temperature during strip hot rolling was developed and used combining with the in-site technical data provided by a steel mill to calculate simulatively the control of inter-stand temperature. The calculated results are proved superior to those measured in site.
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    Numerical simulation of effect of laminar cooling patterns on plate temperature field
    Tan, Wen (1); Xu, Yun-Bo (1); Liu, Zhen-Yu (1); Wu, Di (1)
    2006, 27 (8):  887-890.  DOI: -
    Abstract ( 222 )   HTML   PDF (179KB) ( 998 )  
    According to the layout of cooling system in the medium/thick plate plant of ShouSteel and analyzing its heat transfer characteristics, the effects of different laminar cooling patterns on the temperature field of plate were investigated by the numerical simulation using finite difference method. The simulation results showed that the temperature difference between plate's interior and exterior increases with cool-down rate. To achieve the same final cooling temperature at constant cool-down rate, different laminar cooling patterns play important roles in the cool-down rate along plate gauge and temperature distribution. And it was shown that opening the spray header intermittent and thining out the cooling water spray are the best way to keep the cool-down rate constant without increasing temperature difference between the interior and exterior of plate.
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    Emulation of kinematic trajectory of fingertip
    Wang, Hong (1); Zhao, Chang-Kuan (2); Ji, Yan-Qiao (1)
    2006, 27 (8):  891-894.  DOI: -
    Abstract ( 265 )   HTML   PDF (416KB) ( 1152 )  
    The curve fitting of kinematic trajectories of fingertip and finger joints was designed and obtained on the basis of LabVIEW software, which is convenient, economical and applicable. The finger's photos of kinematic trajectory were taken by CCD camera and acquired on computer. Then, the position coordinates of fingertip and finger joints can all be detected and recorded by image processing. With the curve fitting technique in the software LabVIEW used to get the kinematic trajectory of fingertip and relevant finger joints, a conclusion is drawn that the fitting of 3rd-order and 4th-order polynomials are comparatively applicable to the curve fitting of the kinematic trajectories of forefinger tip and thumb tip, respectively. The conclusion thus provides a theoretic a reference for the trajectory planning and control of robot manipulator.
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    Scheduling optimization based on hybrid genetic-tabu search algorithm for dual-resource constrained job shop
    Liang, Di (1); Xie, Li-Yang (1); Sui, Tian-Zhong (1); Tao, Ze (1)
    2006, 27 (8):  895-898.  DOI: -
    Abstract ( 265 )   HTML   PDF (344KB) ( 878 )  
    In order to avoid the premature convergence and to balance the exploration and exploitation abilities of simple GA, a hybrid algorithm is proposed to solve dynamic scheduling problem in flexible production environment. It combines the advantage of global search ability of GA with the self-adaptive merit of tabu search and improves its convergence. It is proved capable of providing optimized schedule to the job-shop where the machine tool and manpower resources are both constrained. After crossover and mutation operations, an optimal or suboptimal scheduling plan can be found. The result of the test shows that this method is feasible and efficient.
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    Detection principle and error analysis of robot with ultrasonic sensor in unstructured environment
    Liu, Hong-Yi (1); Luo, Zhong (1)
    2006, 27 (8):  899-902.  DOI: -
    Abstract ( 250 )   HTML   PDF (1685KB) ( 1018 )  
    A detecting method is presented for the robot with ultrasonic sensor in unstructured working environment. Setting up a structure model of the detecting system and describing its operation principle, the causes of detecting errors are analyzed. There are dynamic errors of the ultrasonic sensor due to its moving in the whole detecting process, as well as other errors caused by its ambient temperature and patulous angle. An integrated error of the detecting system is thus formed in unstructured environment. Analyzing the relationship among the integrated error and robot's moving parameters and structure parameters, the way to compensate the integrated error is presented, which provides a theoretical basis to improve the detecting precision of the system. Simulation results verified the necessity of such error compensation.
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    Random fatigue testing for motorcycles on electro-hydraulic servo test rig
    Zhang, Zhi-Wei (1); Mao, Fu-Rong (1); Song, Jin-Chun (1)
    2006, 27 (8):  903-906.  DOI: -
    Abstract ( 240 )   HTML   PDF (215KB) ( 501 )  
    Analyzes the working principle and structural characteristics of the random fatigue test rig for motorcycles, then a new fatigue-simulated time domain control technique is proposed and put into operation for the electro-hydraulic servo system of the tester. A multi-level hierarchical fuzzy controller is thus designed to control the test rig to track expected input signals and, finally, implement the real-time control of the electro-hydraulic servo system. Vibration testings have been done on the tester for various motorcycles of different sizes, and the results showed that the test rig can fully meet the testing demands of the motorcycle's reliability, thus providing a new way to the fatigue testing for either the whole motorcycle or its parts.
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    Length compensation of cutting-tool of 3-TPS hybrid machine tool
    Shi, Hong (1); Guo, Jian-Ye (1); Cai, Guang-Qi (1)
    2006, 27 (8):  907-910.  DOI: -
    Abstract ( 223 )   HTML   PDF (1338KB) ( 596 )  
    A new horizontal-vertical conversion hybrid machine tool, 3-TPS hybrid machine tool is introduced with its configuration analyzed. The hybrid machine tool not only has such advantages as large workspace, horizontal-vertical conversion, simultaneous motion of five axes and five-sides machining, but also serves the function of machining center. The length compensation algorithms and mathematical model of 3 or 4 or 5-dof machining are given. The relation on center of knife or elongation value of three arms and the value of the length compensation are established.
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    E-manufacture modeling based on network and its function
    Li, Hu (1); Xu, Feng (1); Wang, Lei (1); Wang, Wan-Shan (1)
    2006, 27 (8):  911-913.  DOI: -
    Abstract ( 196 )   HTML   PDF (375KB) ( 455 )  
    Based on the request/response mode of client/server, a collaborative parallel design-manufacture mechanism is implemented using the existing net resource and technology, where the design and the manufacture are not only in cooperation but independent of one another, so, a network frame of E-manufacture and its technical parameter optimization are also given with the maximum productivity taken as the optimization target. An optimization model of technological parameters in milling process is set up to ensure the giving surface roughness by network. The NC machining process is simulated and demonstrated on web, thus networking preliminarily the design-manufacture process as a whole.
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    Implementation of component technology-based quality management system for workshop
    Sui, Tian-Zhong (1); Cui, Hong-Wen (2); Yi, Gang (3)
    2006, 27 (8):  914-917.  DOI: -
    Abstract ( 245 )   HTML   PDF (410KB) ( 501 )  
    Taking account of the R and D of manufacturing-process management and optimization of resource configuration system in an enterprise, the current situation of workshop s quality management and the functions the quality management system should serve for manufacturing are analyzed to develop a functional model and information model for building the workshop's integrated quality management system. Based on the architecture of Windows DNA system for Web and component technology, a workshop-oriented informative quality management system is developed and integrated with other management subsystems for manufacturing industry. It has been put into actual production.
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    Relationship between biotoxicity and pollutant concentration in typical industrial wastewater
    Zhou, Xiu-Yan (1); Wang, En-De (2)
    2006, 27 (8):  918-921.  DOI: -
    Abstract ( 257 )   HTML   PDF (720KB) ( 719 )  
    The physico-chemical and biological toxicity in indices of the wastewater in 4 typical industries in Liaoning were monitored and assessed. The results indicated that both COD and SS concentration exceed greatly the prescribed standards for environmental protection in the effluent from paper-making and metallurgy industries, whereas mainly the COD exceeds the standard in the effluent from chemical industry. The relative opacity of luminescent bacteria showed that the grades of aquatic toxicity of the effluents from paper-making, petroleum/coking and metallurgy industries are high and most of them are between fatal and medium. But the biotoxicity grade of the effluent from chemical industry is in the low-medium range. It was found that there is a highly obvious correlation between COD/SS concentration and various biotoxicity indices in the effluent from paper-making industry, while that between volatile phenol and various biotoxicity indices is proper in the effluents from petroleum/coking and chemical industries. As to the effluent from metallurgy industry, the correlation between COD and biotoxicity indices is also proper.
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    Mechanism of Pb(II)/Cr(VI) biosorption by saccharomyces cerevisiae
    Su, Xiu-Juan (1); Zhu, Yi-Min (1); Zhao, Chen (1); Wei, De-Zhou (1)
    2006, 27 (8):  922-925.  DOI: -
    Abstract ( 211 )   HTML   PDF (1076KB) ( 513 )  
    Discusses the mechanism of Pb(II)/Cr(VI) biosorption by Saccharomyces cerevisiae through the zeta potentials and configuration of metal ions with different pH values. Experimental results showed that the isoelectric point of Saccharomyces cerevisiae is 3.7 approximately and that the zeta potentials of Saccharomyces cerevisiae decreases gradually with increasing pH value. The electrostatic biosorption is dominant in adsorbing Pb(II) when pH value is less than 4.0 and adsorbing Cr(VI) when pH value is 2.0-6.0, but isn't dominant when pH value are different from those as above.
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    Effect of bi-particle's geometrical distribution on failure process of brittle-matrix composites
    Zhang, Ya-Fang (1); Tang, Chun-An (1); Yang, Tian-Hong (1); Zhang, Juan-Xia (1)
    2006, 27 (8):  926-929.  DOI: -
    Abstract ( 201 )   HTML   PDF (272KB) ( 595 )  
    MFPA2D, a numerical programme developed on the basis meso-damage mechanics, is adopted to simulate the deformation, damage and fracture, i.e., the whole failure process of brittle-matrix composites reinforced by particles under uniaxial tensile load. The effect of bi-particle's geometrical distribution is then investigated. From the simulation, a conclusion is drawn that different bi-particle's distribution will enable different failure mechanism and, therefore, it has profound effect on the failure mode and strength but less effect on the Young's modulus of the composites.
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    Influence of structure-soil interaction on identification of damage to structure
    Sha, Cheng-Man (1); Liu, Bin (1); Wang, En-De (1)
    2006, 27 (8):  930-933.  DOI: -
    Abstract ( 272 )   HTML   PDF (1048KB) ( 470 )  
    The influence of structure-soil interaction (SSI) on identification of damage to structure was studied using time domain and least-square methods. The parameters of a structure such as rigidity can be identified by forcing the structure into vibrating and observing its dynamic response, thus identifying the damage to the structure. During the computation of structure response and model identification, no matter SSI is considered, the identified parameters converge at the true value with lowering sensor noise. When SSI is taken into account in the computation of structure response but not taken in model identification, no matter the restriction on feasible domain is considered, the identified parameters converge at the true value with no relation to sensor noise and, as result of identification, and the dependability is very low. So the influence of SSI can not be ignored.
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    Experimental studies on slip behavior of prestressed steel-HS concrete composite beams
    Liu, Li (1); Wang, Lian-Guang (1); Shi, Guang (2)
    2006, 27 (8):  934-936.  DOI: -
    Abstract ( 277 )   HTML   PDF (680KB) ( 514 )  
    To evaluate correctly the bearing capacity of a prestressed steel-HS concrete composite beam on experiment basis, the formulas to calculation the slip on steel/concrete interface in the composite beam are derived according to actual loading conditions, with the moment-curvature relationship, the change of interface strain and balance condition of internal force taken into account. The calculated results conform well to the experimental ones. It is indicated that the steel bar slip relative to concrete on steel/concrete interface is in a barrel-like distribution along the beam length, i.e., big at middle and small at both ends. In addition, the slip on interface decreases with increasing connection stiffness under otherwise equal conditions.
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    Combined multi-attribute decision-making model for vendor selection problem in supply chain
    Guan, Zhi-Min (1); Pan, De-Hui (1)
    2006, 27 (8):  937-940.  DOI: -
    Abstract ( 400 )   HTML   PDF (107KB) ( 1429 )  
    To solve the vendor selection problem (VSP) in supply chain, a relevant evaluation index system was set up so as to develop the combined multi-attribute decision-making model. Thus, more influencing factors were taken into account in the proposed evaluation approach to make the criterion more comprehensive in evaluation index system. The combined multi-attribute decision-making model integrates all the advantages of several methods together, such as fuzzy AHP, fuzzy multiple index evaluation and TOPSIS. An application example was given showing the feasibility and effectiveness of the proposed approach.
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    Evaluation indexes and methodology for competence of knowledge workers
    Zhang, Lan-Xia (1); Zhang, Yan (1); Wang, Jun (1)
    2006, 27 (8):  941-944.  DOI: -
    Abstract ( 330 )   HTML   PDF (250KB) ( 1307 )  
    Knowledge workers have become the core resources of knowledge enterprises. Based on the competence of knowledge workers and what jobs they are needed to do, an evaluation index system is set up to appraise not only their threshold competence but also the differentiating competence to distinguish one from others. Then, a fuzzy multi-index evaluation is proposed for the competence of all knowledge workers. A numerical example is given to show that it is efficient in evaluating not only the overall competence but also the competence structure of knowledge workers.
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