Papers by Keyword: Gauss Integral

Abstract: The extended finite element method (XFEM) is the most effective numerical method to solve discontinuous dynamic problems so far. It makes research within a standard finite element framework and reserves all merits of CFEM. In other side, it needs not mesh repartition to geometric and physical interface. Numerical integration techniques of the XFEM computation are studied, including displacement mode of the XFEM, control equation and infirm solution form of discontinuous medium mechanics problem, region scatteration, element integral strategy.

Abstract: Meshless element of Hamilton canonical equation was established in this paper by combining the modified Hellinger-Reissner variational principle for elastic material and radial point interpolation functions. Using Multiquadric (MQ), Gaussian (EXP) and thin plane spine (TPS), the astringency of meshless methods and the effects of the dimensionless shape parameters on the maximum displacement were investigated by the numerical examples of the single or the cross-lay laminated plates. And all of the numerical results of displacement w were compared with that of MSC. Nastran This study introduced the advantages of meshless finite element method into semi-analytic solution of Hamilton canonical equation, and a new semi-analytic method was presented for Hamilton canonical equation.

Abstract: Acceleration time, as an important dynamic performance index of an automobile, is classified as acceleration time of shift and acceleration time at a given gear to evaluate an automobile’s acceleration performance. Compared with the traditional calculation method, this proposed algorithm calculates an automobile’s speed of optimal-power shift by using linear interpolation; calculates the acceleration time using Gauss integral, and calculates the acceleration time to a given distance by combining conversion method and interpolation method. A numerical example is given and the actual test results indicate that this algorithm is fit for automobile design.