Vibration Analysis of Simply Supported Beams Traversed by Uniformly Distributed Two-Layer Spring-Mass System

Vertical vibration of identical simply supported bridges traversed by a train with uniformly distributed mass is investigated in this paper. The train with passengers onboard is simplified as a uniformly distributed two-layer spring-mass system as well as the bridges are simplified as consecutive simply supported Euler-Bernoulli beams. To analyze dynamic responses of the train and the bridges, the dynamic governing equation of the system is obtained and solved by a specific linear interpolating method and numerical integral methods. The result graphs indicate that dynamic responses of both beam and train carriage increase along with the mass ratio of bogie to car.

Data-Conversion and Displaying for Numerical Simulation of EMCC with FEM-FVM-Joint Method

For efficiently performing the numerical simulation of electromagnetic continues casting (EMCC) with finite element method (FEM) and finite volume method (FVM) combined scheme, a program integrates with data-format conversion and post-processing was proposed. The conversion of data format realized by linear interpolating, and the post processor developed on a Visual Fortran 6.6A platform using Fortran-95 language and the QuickWin module. Both 2-D and 3-D EM-FEM data calculated by a general-purpose FEM software, ANSYS, could be converted into FVM-data format using this program, and all FVM-data whether scalar quantities or vector ones could be displayed in the manners of cabinet drawing and normal axonometric drawing, which promises the correctness for data format conversion process of FEM/FVM-joint and the convenient analysis of transport phenomena during EMCC numerical simulation. The results of transport simulations and data format conversions indicate that the format-conversion method as well as the post processing is effective and convenient in numerical simulation with FEM/FVM-joint under various EM fields.

REFINEMENT INDEPENDENT WAVELETS FOR USE IN ADAPTIVE MULTIRESOLUTION SCHEMES

This paper constructs a class of semi-orthogonal and bi-orthogonal wavelet transforms on possibly irregular point sets with the property that the scaling coefficients are independent from the order of refinement. That means that scaling coefficients at a given scale can be constructed with the configuration at that scale only. This property is of particular interest when the refinement operation is data dependent, leading to adaptive multiresolution analyses. Moreover, the proposed class of wavelet transforms are constructed using a sequence of just two lifting steps, one of which contains a linear interpolating prediction operator. This operator easily allows extensions towards directional offsets from predictions, leading to an edge-adaptive nonlinear multiscale decomposition.