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    28 February 2013, Volume 47 Issue 02 Previous Issue    Next Issue
    Mathematical sciences and chemical
    Study on the Band Structure of Hexagonal Chiral Structures
    XU Shi-Yin, HUANG Xiu-Chang, HUA Hong-Xing
    2013, 47 (02):  167-172. 
    Abstract ( 2561 )   Save
    The Bloch theorem and finite element technique were applied to investigate the dispersion characteristics of hexagonal chiral cellular in the mid and low frequency. The effect of geometry parameters and the metamaterial inclusion on the distribution of the band gap was analyzed. The results demonstrate that the vibration transmission displays significant attenuation for the frequency located in the band gap. The distribution of the band gap in the low frquency is sensitive to the geometry parameter and can be tuned to the desired frequency and the metamaterial inclusion can promote the generation of the lowfrequency band gap. The research outcomes will lay a solid theoretical base for designing of isolation structures.  
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    Research on Dynamic Properties and Vibration Isolation Performance of Curved Beam Periodic Structure
    HUANG Xiu-Chang, XU Shi-Yin, HUA Hong-Xing, ZHANG Zhi-Yi
    2013, 47 (02):  173-179. 
    Abstract ( 2298 )   Save
    A curved beam periodic structure composed of curved beams and rigid plates was developed and the equivalent mass-spring transmission matrix model was advanced. The Bloch theory and the wave vector approach were employed to analyze the band gap and the driving-point and transfer mobility of the structure, respectively. The influence of the number of unit cells and the parameters of curved beams on the mobility was studied. The transmission matrix method was used to study the dynamics of the structure in one DOF (degree of freedom) system with flexible plate as foundations. The experiment of detecting the band gap of the structure by measuring driving-point and transfer mobility was carried out. The comparative trials of one DOF system with flexible plate as foundations with/without the structure were carried out. Both theoretical and experimental results show that, a curved beam periodic structure possesses a broad low frequency band gap; and it can act as isolator or a band-pass mechanical filter. The performance of the periodic isolator is superior to that of the ordinary rubber isolator. By use of the periodic structure, the vibration transmission at resonances of the foundation plate between the band gap is suppressed.  
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    A Normal Contact Stiffness Model of the Interface
    ZHUANG Yan, LI Bao-Tong, HONG Jun, YANG Guo-Qing, ZHU Lin-Bo, LIU Hui-Jing
    2013, 47 (02):  180-186. 
    Abstract ( 3290 )   Save
    In order to predict the interface normal contact stiffness between two solid rough surfaces, the topography of rough surfaces and contact mechanics of asperities were analyzed. The size and the space distribution of three dimensional asperities on the rough surface were obtained by the method of watershed segmentation. And the relationship between the contact load and the deformation of the shouldershoulder asperity contact was developed based on the elasticplastic contact theory. Finally the interface normal contact stiffness was calculated by determining the deformation type and the contact load of each asperity on rough surfaces. The comparison between the experimental and the theoretical calculation result indicates the present model is valid.  
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    Application of Large Increment Method in Plate Analysis
    JIA Hong-Xue-a, LONG Dan-Bing-a, LIU Xi-La-b
    2013, 47 (02):  187-192. 
    Abstract ( 2589 )   Save
    A rectangular Mindlin-Reissner plate element with the forces unknown was developed based on the large increment method (LIM). In the present paper, The plate element was developed to analyze moderately thick plates using LIM. Some numerical examples were presented and the results were compared with the exact solutions and the solutions from conventional displacement-based finite element methods. The convergence and accuracy of the forcebased plate element using LIM for analyzing the moderately thick plates and thin plate were furthermore verified, and it is also shown that the shear locking for thin plate analysis can be prevented.  
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    A Numerical Method to Simulate Ship Bubbly Wake
    WAN Peng-Cheng, FU Hui-Ping
    2013, 47 (02):  193-197. 
    Abstract ( 2499 )   Save
    A numerical method was put up forward to simulate ship bubbly wake. The free surface around a model-scaled KRISO(Korean research institute of ship and ocean engineering) container ship (KCS) was first numerically simulated through the volume of fluid two-phase model imbedded in general computational fluid dynamics(CFD) code FLUENT. Then in order to simulate the bubbly wake around KCS hull, the under-water flow field was computed based on the mixture multiphase model with a rigid-lid-free-surface method. The Realizable k-ε two-equation turbulence model and Reynolds stress model were used to analyze the effects of turbulence model on the bubbly ship wake. The air entrainment model that is relative to the normal velocity gradient of the free surface, and the solving method are justified by the qualitatively reasonable computed results.  
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    Delaminated Buckling near the Surface of Piezoelectric-Piezomagnetic Laminated Shells
    ZHANG Wei, WANG Xi
    2013, 47 (02):  198-202. 
    Abstract ( 2027 )   Save
     The local buckling near the surface of piezoelectric-magnetic laminated shells under electric, magnetic and thermal loads was investigated by energy methods. Based on the theory of composite laminated shell and considering the effects of electric, magnetic and thermal loads, the calculation formula of the total potential energy and the local buckling equation were derived by using the constitutive relationship. Here, the transverse displacement of sublaminated shell is considered to set up the local buckling models of the sub-laminated shell. The effects of temperature change, magnetic loading, electric loading and the parameters of geometry and physics on the local buckling critical strain were described and discussed.  
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    A Modified Argyris Element Method for Kirchhoff Plates Bending Problems
    HUANG Xue-Hai-1, LAI Jun-Jiang-2, WANG Wen-Qing-3
    2013, 47 (02):  203-209. 
    Abstract ( 2603 )   Save
    A modified Argyris element was constructed and used for numerically solving Kirchhoff plate bending problems. The comparison between modified Argyris element and usual Argyris element was given, and the numbers of degrees of freedom between modified Argyris element and some usual nonconforming elements were also compared in details. Then a priori error estimate of modified Argyris element method was provided. The basis functions were presented for real applications. Finally, a posteriori error estimator was established for the modified Argyris element method, which is efficient and reliable.  
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    Propagation of Love Waves in the Orthotropic Layer/Functionally Graded Piezoelectric Half-Space
    KONG Yan-Ping-a, CHEN Chang-Hong-b, LIU Jin-Xi-a
    2013, 47 (02):  210-215. 
    Abstract ( 2380 )   Save
    This paper investigated Love waves propagating in the layered half-space structure consisting of an orthotropic layer and a functionally graded piezoelectric halfspace. The interface conditions of the layered halfspace structure are perfect and imperfect. The material properties of the piezoelectric halfspaces vary exponentially in the direction perpendicular to the interfaces. Based on the dispersion equations, the numerical examples were presented to show the effects of variations of material properties, the cut angle of the orthotropic material and combined effects of the imperfect interface on the phase velocity. The obtained results are useful for the application of functionally graded piezoelectric materials to acoustic wave devices such as plate resonators, filters and sensors.
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    Architechural Science
    Research on the Combination of Cross-section of Column with Axial Compression Stress
    FU Guang-Yuan, ZHANG Yang, LI Si-Ping
    2013, 47 (02):  216-219. 
    Abstract ( 2776 )   Save
    This paper analyzed the distribution of combined cross-section of short column with axial compression stress and contact stress. The analytic solution of combination of crosssection of short circular column was derived first and validated by numerical simulation, considering the material’s Poisson ratio, wall thickness and other changes of parameters. Then the paper analyzed the square cross-section with more material of column based on the circular research, providing theoretical basis for analysis of combined structure under certain force.
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    Chaotic Synchronization of a Type of Star-Shaped Neural Network
    ZHANG Wen-Long, YU Hong-Jie
    2013, 47 (02):  220-225. 
    Abstract ( 2298 )   Save
    This paper researched about the chaotic synchronization of star-shaped neural network which is made up of HindmarshRose (HR) neuron models through theoretical analysis and numerical simulation, by making use of stability criterion (SC) method, and configuring a special term as coupling function. Also the paper derived error development equations between different neuron models, on this basis. It estimated the coupling strength range in which the neural network can synchronize. By changing the coupling strength,  the synchronization processes were observed and at last, we make a conclusion about the influence of chaotic synchronization which is determined by different coupling strength, was made.
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    Automation Technique, Computer Technology
    Integrating Optimization Method for Continuous Berth and Quay Crane Scheduling in Container Terminals
    GUI Xiao-Ya-1, LU Zhi-Qiang-2, HAN Xiao-Le-1
    2013, 47 (02):  226-229. 
    Abstract ( 2597 )   Save
    In order to solve the problem of allocation of two resources-berth and quay crane in container terminals, this paper developed an integrating optimization method to make decisions of the two aspects simultaneously with the objective function of minimizing the total stay time of vessels, and an integrating optimization mathematical model was built. The paper developed a two-level iterative algorithm by separating decision objections. On the first level, the genetic algorithm was presented to optimize the priority list of vessels served and the QC numbers allocated. And on the second level of the algorithm, the paper developed an integrating scheduling plan of berth allocation and QC assignment. Numeral experiments were conducted to prove the validity and superiority of the algorithm proposed.
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    Rule-Based Scheduling of Batch Processing Machine Applied to Semiconductor Wafer Fabrication System
    LI Cheng, JIANG Zhi-Bin, LI You, LI Na, GENG Na, YAO Shi-Qing, JIA Wen-You
    2013, 47 (02):  230-235. 
    Abstract ( 3142 )   Save
    To solve the scheduling problem of batch processing machine in the furnace district of semiconductor wafer fabrication system (SWFS), this paper proposed a scheduling algorithm which satisfies the process constraint and equipment limitations. Considering the dynamic arrival of lots and the SWFS’s features of large scale and multiple re-entrant process, the algorithm may realize the real-time combinatory dispatching of multi-product and multi-machine by optimizing average waiting time of lots. The simulation based experiments were executed on a virtual SWFS fab simulation platform, and the result shows that the algorithm can significantly improve the fill rate and the utilization of the bottleneck, thus shorten the cycle time in realtime dispatching.
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    Communication and Transportation
    The Lateral Modeling and Parameter Optimization Based on Vehicle-Track Coupled Dynamics for a Special Railway Vehicle
    LI Xiao-Wei-1, SHI Jun-Wu-2, ZHANG Jian-Wu-1
    2013, 47 (02):  236-241. 
    Abstract ( 2419 )   Save
    Based on the vehicle-track coupled dynamics, the vehicle-track coupled model for a road-rail fire fighting vehicle traveling on the track was established and compared with the traditional railway vehicle model. For the validation of the two models, field experiments were made. The comparisons between the experimental test results and numeral simulation results indicate that the vehicle-track coupled model is better in accordance with the reality than the traditional railway vehicle model. Based on the vehicle-track model, the unified objective function method was used for the optimization of suspension parameters. The optimization results indicate that root-mean-square values of car body acceleration and wheel-rail force are reduced by 22.22% and 18.63%, respectively. So the method can improve riding quality and decrease wheel-rail dynamic interaction.
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    Fast Prediction on the Vibration Caused byUrban Elevated Railway
    LIU Chang-Qing, CHE Chi-Dong, ZHU Rui-Yi
    2013, 47 (02):  242-247. 
    Abstract ( 2796 )   Save
    A finite element vibration analysis model was established to investigate the attenuation of the vibration caused by urban elevated railways. Then the vibration attenuation along the elevated structure and the surrounding ground was calculated in different conditions. The effects of structural dimensions and material parameters on the attenuation of vibration were analyzed, and a formula for fast prediction of the transmission loss of structural vibration energy was derived according to the results of finite element calculation. In order to validate the formula, vibration measurements were conducted at an elevated railway and its surrounding ground. It is shown that the trend of the measurement results is consistent with the prediction results with an acceptable accuracy. A minor effect of structural dimensions and material parameters on the attenuation of vibration is observed. The conclusion is meaningful to the control of environmental vibration and fast prediction of the vibration around the elevated rail and its surroundings.
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    The Influence of Baffle Structure on Micro-pressure Wave Generated by High-speed Train Entering a Tunnel
    ZANG Jun, XUE Lei-Ping
    2013, 47 (02):  248-252. 
    Abstract ( 2894 )   Save
    A compressive wave will be generated when a high-speed train enters a tunnel. Then the compressive wave will travel with the velocity of sound to the outlet of the tunnel and radiate a micro-pressure wave into the field outside of the tunnel. A numerical method was used to simulate the process that the highspeed train enters a tunnel. Also the experimental data was used to verify the computational model. On this base, the influence of the baffle structure on the micro-pressure wave was studied. The result shows that two micropressure waves will be generated with the baffle assembled in the tunnel. Also we the influence of the position and size of the baffle on the micro-pressure wave was got.
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    Real Time Mapping Method for Traffic Accident Scene Based on Image Guide
    MIAO Xin-Qiang-1, 2 , JIN Xian-Long-1, 2 , HAN Xue-Yuan-1, 2 , HOU Xin-Yi-3
    2013, 47 (02):  253-258. 
    Abstract ( 2956 )   Save
    In order to meet the needs of mapping the accident scene diagram on the scene for traffic police, a real time mapping method for traffic accident scene investigation based on image guide was proposed. The proposed procedure consists of a transformation which transforms a single photo of the accident scene from perspective image to orthographic image using direct linear transformation method, followed by mapping accident scene information such as vehicles, bodies, fall out objects, braking traces and so on directly over the orthographic image, and finally printing out the accident scene diagram, which needs to be signed by interested parties. A typical traffic accident case was used to validate the proposed method. Compared with the traditional handson measurement, the proposed method can not only improve the accuracy of site investigation, but also can considerably reduce the time of onscene data processing and drawing, which contributes to satisfying the requirement of printing out the accident scene diagram in real time.
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    Calculation Models of Conflict Points for Motorized Vehicles at Unsignalized Intersections
    PAN Fu-Quan-1, ZHANG Li-Xia-1, LU Jian-2, WANG Feng-Yuan-1
    2013, 47 (02):  258-263. 
    Abstract ( 3947 )   Save
    To conveniently calculate the number of conflict points of different type for motorized vehicles, intersection virtual lanes and intersection quadrants were used to represent a road intersection. For T intersections and cross intersections, based on the virtual lanes and quadrants and conversion method of virtual lanes, the corresponding calculation models of conflict points of different types for motorized vehicles were developed individually. The calculation models were validated. The validation results show that the calculation models can quickly compute the number of conflict points of different types for motorized vehicles at T intersections and cross intersections, which enhances the work efficiency and provides advantages for traffic safety evaluation and safety improvement of intersections.
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    Robust Design in Taillight Area Based on Norms of Influence Coefficient Matrix
    DING Xin, WANG Hua, GAO Xiang
    2013, 47 (02):  264-268. 
    Abstract ( 2462 )   Save
    In order to improve the efficiency of automobile taillight assembly, a method of robust design based on norms of influence coefficient matrix was employed in taillight area. A model of the mathematical relation between the deviations of screw joints and observation points in taillight area was established. Three objective functions, namely, 1norm of row vectors, condition number and norm of the inverse matrix of the influence coefficient matrix, were used to evaluate the sensitivity of the deviation to assembly structure. Taking the taillight area of some car as an example, finite element simulation was used to obtain the numerical solution of the mathematical model, then the assemble structure was optimized. Quality problems of the production site verify the predictive accuracy of the mathematical model.
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    The Effect of Stator Parameters on Performance of Ducted Propeller with Pre-swirl Stators
    RAO Zhi-Qiang, LI Wei, YANG Chen-Jun
    2013, 47 (02):  269-273. 
    Abstract ( 2899 )   Save
    The turbulent characteristics of ducted propeller with pre-swirl stators were simulated numerically and the hydrodynamic performance was analyzed by RNG (ReNormalisation Group) k-ε viscous model. Compared with experimental and potential data, the numerical results are accurate and efficient. Furthermore open water performance of propulsion with different setting angle, section thickness and number of stator blades were predicted numerically. The effect of geometrical parameters on hydrodynamic performance was analyzed.
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    Study on Post-service Jacket Platform Residual Life Reliability Prediction Method
    LIU Yong-1, CHEN Lu-Yun-1, HOU Guo-Hua-2
    2013, 47 (02):  274-277. 
    Abstract ( 2171 )   Save
    To ensure the post-service platform security in the late service period, it is necessary to predict platform structure residual life reliability. This paper focuses on platform global time-varying reliability resulting from component dynamic failure and fatigue failure under random wave loads. Firstly component fatigue reliability and dynamic reliability were calculated according to Miner linear cumulative damage theory and first crossing failure criteria, components with larger failure probability were searched and deleted. Then the wave incremental dynamic analysis was used to find the limiting wave height which the platform could bear. Finally combining with the wave statistics, platform global structure time-varying reliability was calculated to predict the residual life. The example shows the practicality and simplicity of the proposed method.
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    Experimental Investigation on Longitudinal Motion of High-Speed Unmanned Surface Vehicle
    SUN Han-Bing-1, SU Yu-Min-1, ZOU Jin-1, ZHANG Ke-Xin-2, ZHUANG Jia-Yuan-1
    2013, 47 (02):  278-283. 
    Abstract ( 2919 )   Save
    In order to predict the high-speed unmanned surface vehicle (USV) longitudinal motions, model test was conducted in calm water on the ship. The flow field around the USV was numerically solved by the finite volume method in conjunction with the shear stress transpor (SST) turbulence model, which is based on dynamic mesh method. The drag force and trim angle acting on the hull were obtained. The computational and tested results appeared similar changing tendency. The result shows that the numerical method can give good accuracy. Then the effect of the different longitudinal positions of the center of gravity on propulsion performance was discussed. Moving the longitudinal center of gravity forward is beneficial to reduce the first crest amplitude of resistance and avoid porpoising, at the same time, the top speed is reducing.
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    Method of Multi-agent Autonomous State Reconfiguration of Shipboard Chilled Water System
    QIN Jiu-Feng, ZENG Fan-Ming, CHEN Yu-Tao
    2013, 47 (02):  284-289. 
    Abstract ( 2551 )   Save
    In consideration of the uncertainty of the modern ship environment and the requirements for the intelligence of integrated management of power platform, taking the shipboard chilled water system as the research object, the method of state reconfiguration based on the multi-agent autonomous decision making model with the existence of uncertainty was studied. The problem of state reconfiguration is formulated as a loosely coupled Markov decision process (MDP). Then the multi-agent autonomous decision making model based on MDP is established and the optimal policy is obtained by using genetic algorithm. Finally the performance of the optimal policy is examined in the numerical calculation and the autonomous state reconfiguration is realized by following the received policy. This method can increase the autonomous decision making level and enhance the mission effectiveness of shipboard chilled water system.
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    Design of Band-Filter Based on Multiple Tracking-Differentiators and Indicated Torque Reconstruction of Diesel Engine
    HUA Hai-De, MA Ning, MA Jie, ZHANG Gui-Chen
    2013, 47 (02):  290-294. 
    Abstract ( 2431 )   Save
    Instantaneous torque is an important parameter for diagnosis and control of diesel engine. It is an effective method to reconstruct instantaneous torque based on instantaneous speed. A filter based on multiple tracking-differentiators was designed to process signals with both high frequent and low frequent noise, and the methodology was detailed given. Simulation study was carried out on the measured instantaneous speed of 16PC2-6 marine diesel engine. Following the dynamic model of propulsion system, indicated torque of diesel engine was estimated according to tracking and differentiator signals of instantaneous speed. The simulation results show that high quality tracking and differentiator signals of instantaneous speed can be gained by adopting proposed multiple tracking-differentiators, which is suitable for engine torque reconstruction.
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    Forecasting Iron Ore Freight Rates Based on Wavelet Analysis
    ZHAO Fu-Jie, XIE Xin-Lian
    2013, 47 (02):  295-299. 
    Abstract ( 2163 )   Save
    Based on the advantage of the wavelet analysis for non-stationary time series forecasting, this thesis presented multiresolution analysis theory as well as detecting singularity for time series, then made static and dynamic estimation of the processed high and low frequency data by using the autoregressive moving average(ARMA) model and Holt-Winters-No Seasonal with the software of AMTLAB and EVIEWS. The results show that the wavelet analysis in non-stationary time series prediction has a great advantage.
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    Calculation of Retard Function for Time-Domain Analyzing Floating Body in Waves
    TANG Kai, ZHU Ren-Chuan, MIAO Guo-Ping, FAN Ju
    2013, 47 (02):  300-306. 
    Abstract ( 2835 )   Save
    The numerical calculation and comparisons of retard function for time-domain analyzing floating body in waves were conducted by the direct time-domain method (DTM) and the transformation method from frequency to time-domain (FTTM). DTM is a unified and self-contained theory. It needs heavy CPU timeconsuming to obtain retard function by DTM while it is easy and quick by FTTM. For the limitation of frequency band, numerical error is uncertain and may occur when FTTM is used. A wigley-hull-form ship and a cylindrical platform floating in waves were analyzed and verified, and the corresponding retard functions are in good agreement by the two methods. It also indicates FTTM is efficient and practical in dealing with engineering problems. Based on the discussions of the advantage and disadvantages of the two methods, the odd phenomenon due to frequency resonance of ship moving with forward speed was investigated. The influences of various speeds to retard function were also discussed.
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    Fatigue Reliability Analysis Based on Crack Growth Model of
    Total Fatigue Life for Titanium Alloy Spherical Shell
    CHEN Cheng-Hao, XUE Hong-Xiang, TANG Wen-Yong
    2013, 47 (02):  307-311. 
    Abstract ( 2283 )   Save
    Considering that the short crack propagation life of titanium alloy is longer, based on  total fatigue life model of   Brown-Hobson model, this paper presented a solution to the total fatigue life prediction for titanium alloy spherical. The paper  analyzed  the total fatigue life model for reliability with non-cross terms quadratic response surface method, gave the impact of different parameters on the reliability index. The method is applied to the fatigue analysis of 4.5 km manned submersible which is under development. The deterministic analysis was carried out  according to the load-time spectrum and then  the influence of different parameters on the structure stability was analyzed, which has important significance on the fatigue design of the manned submersible.
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    Multi-stage Optimization Decision for Empty Container Inventory Under Fuzzy Random Condition
    CHEN Fei-Yan, WANG Chuan-Xu
    2013, 47 (02):  312-316. 
    Abstract ( 2135 )   Save
    Under the fuzzy random empty container demand and supply, considering empty container lease and empty container reposition together, a multiple stage optimization model for a port’s empty container inventory and the inventory interval was developed. A numerical example was provided to illustrate the effectiveness of the proposed model, and analyze the effects of the rented empty containers’ quantity, the empty reposition cost, the fluctuation and uncertainty of empty container demand and supply on the port’s optimal empty container inventory.
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    Calculation of Ship Rolling Capsizing Probability by Path Integral Solution
    CHAI Wei, FAN Ju, ZHU Ren-Chuan, HUANG Xiang-Lu, MIAO Guo-Ping
    2013, 47 (02):  317-322. 
    Abstract ( 2540 )   Save
    By analyzing nonlinear rolling motion of the ship, a nonlinear differential equation of ship rolling motion was established. The two-dimensional FokkerPlanck equation in time domain was solved by using the path integral solution (PIS) and the transition probability density of the ship rolling was obtained. The distribution of the first passage time was achieved by first passage theory. Some examples were presented and the influences of the magnitude of external excitation, the rolling damping and the nonlinear restoring moment on the transition probability density of the ship rolling and the first passage time were analyzed. The results show that the method is available to predict the distribution of the first passage time and provides valuable reference to the ship design and the safe standards.
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    Research on Variational Expression and Design Method for Ship Lines
    JIANG Wen-Ying, LIN Yan, CHEN Ming, YU Yan-Yun
    2013, 47 (02):  323-328. 
    Abstract ( 2530 )   Save
    Based on variational design theory, this paper proposed a variational ship lines design model, which could express and design ship lines. A computer aided design(CAD) method for designing ship lines with variational ship lines design model was described, which includes the data management, the definition of mathematical model, the establishment and modification of threedimensional model. First, the mathematical model defines the geometric positions and the geometry topology relations of the lines design elements; and then according to the mathematical one, threedimensional model can be built and modified; finally, ship lines design will be finished. Ship lines can be rebuilt quickly based on the variational ship lines design model, which can avoid the redesign and effectively improve the quality and efficiency of the lines design. The example, in which is described that ship lines are expressed and designed by variational ship lines design model, proves the practicability and advancement of the model.
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    Astronomy,Geoscience
    Truncated Model Test and Numerical Simulation on Hydrodynamics of a New Concept Semi-Submersible Platform
    LAI Zhi-Meng-1, XIAO Long-Fei-1, KOU Yu-Feng-1, FAN Mo-2
    2013, 47 (02):  329-334. 
    Abstract ( 2656 )   Save
    For a new concept semi-submersible platform with four oblique columns above the water surface, both the model test in the deepwater offshore basin and numerical analyses were carried out to study the hydrodynamic performance. The water depth is 1.5 km and the spread mooring system has to be truncated equivalently for the model test. The hydrodynamic performance in both operational and survival conditions was investigated by analyzing the 6 DOF motions and the mooring line tensions based on the experimental and numerical results. The agreement is generally well and the good hydrodynamic performance of the new concept semi-submersible platform satisfies the design requirements.
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