Impsons Integration: In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.

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By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

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The results of numerical analysis show that the elastic modular and the poisson ratio have no effect on two-dimensional bearing capacity, but can affect the ultimate bearing capacity of three-dimensional foundations and control the convergence and precision of finite element calculation; the earth pressure coefficient controls the geostatic stress of foundation, sequentially affects the ultimate bearing capacity of foundations and the convergence of numerical calculation. When calculating the ultimate bearing capacity of undrained saturated foundation, the complete formulation exists shear locking, and reduce formulation exists hourglassing, so the hybrid formulation is suitable to imitate the geomaterial. When the soil obeys nonrelevent flow rule, the yielding function is different from potential function, and the elastic-plastic matrix of soil is asymmetric, so the unsymmetry numerical solver and appropriate finite element mesh is required.

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Prain, Trifolium repens Lam, Aeachynomene Mica L, Indigofera bungeana Steud.The same strains used in numerical taxonomy were analysed by BOXAIR-PCR fingerprinting. All tested strains were clustered into 47 groups at the similarity level of 50%. Compared with the result of numerical taxonomy, strains belonged to one phenon in numerical taxonomy always distributed into several BOXAIR-PCR groups, most of reference strains come from one recognized rhizobial species were not grouped together.

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A new mathematical model is put forward numerically to simulate the wheel ovalization.. In the numerical simulation, the dynamic model of a half railway vehicle coupled with a tangent track is employed. Using the new numerical method investigates vehicle-track coupling system dynamic responses including lateral and vertical displacement of wheelsets and the vehicle, lateral and vertical vibration acceleration of the track at different phase angle of the two side wheels of the same wheelset, which are compared with that of the traditional model. The numerical results show that the discipline and frequency of dynamic responses are accordant, amplitude and phase of lateral dynamic responses are different. It is concluded the traditional track geometric irregularity excitation model does not simulate the effect of periodic wheels ovalization on vehicle-track coupling system dynamic behavior truly, the new model is more accurate and reasonable.

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The paper founds GM(1, 1) model of gray prediction theory in order to predict level displacement,and forecast horizontal displacement of 8-8 section of the Olympic Games project with it and compares forecast data and actual data.The result is that GM(1, 1) model may forecast short-term horizontal displacement after the model is proved eligibility. In order to manage long-term horizontal displacement,the paper founds metabolism GM(1, 1) model.At first, founding GM(1,1) model with known data and forecast next numerical value,next renewing founded GM(1,1) model with numerical value at the same time abnegating first data,and then forecast nest numerical value with same method.

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Numerical controlled program was compiled with ETA code. The baffles were welded into a pile, then the holes were drilled using milling cutter and twist drill. The baffles were installed on Mitsubishi numerical controlled machine, and numerical controlled process was realized. This can improve production efficiency, which makes it possible that helix-baffled tubular heat exchangers can be widely applied in factory.

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This enriched and developed the basic thought of numerical theory, resolved the bottleneck problem that astricts the development of numerical value analysis method, open up a new field for the geomechanic engineering application of 3-D network and numerical value analysis method, it's an available and essential attempt, it's also a necessary trend of numeric times development.

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Based on them, distribution laws of subgrade temperature field under fluctuant boundary temperature cycle conditions are analyzed, and different ratios of slope for general subgrade and different status when there are or not banquettes are compared by laboratory simulation and numerical analysis; thermal insulation and cooling effect of thermal insulation slab, broken stone and non-power heat pipes is respectively investigated under the trend of elevated temperature by numerical analysis, laws of subgrade deformation are predicted under the trend of elevated temperature and influences of subgrade thaw settlement on pavement stress are studies by numerical computation for observation data of representative road sections selected.

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For the particular structure of water-lubricated plastic alloy bearings,with cannelures and low elastic modulus of plastic alloy bushes,and for the complicated numerical calculation of elastohydrodynamic lubrication,the multilevel method was introduced into the EHL numerical calculation of water-lubricated plastic alloy bearings,and the numerical results were attained successfully.

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