During the last few years, di erent approaches for integrating ordinary di erential equations on manifolds have been published. In this work, we consider two of these approaches. We present some numerical experiments showing bene ts and some pitfalls when using the new methods. To demonstrate how they work, we compare with well known classical methods, e.g. Newmark and Runge-Kutta methods. AMS ...

A simulation of the NC-shape grinding process of free formed surfaces is considered. A central issue in the simulation is the numerical solution of dynamic Signorini problems. Here, space adaptive techniques for such problems are discussed. The Newmark method in time and low order finite elements in space are used for discretisation. For the global discretisation error in space, an a posteriori...

The slope instability brought on by earthquakes frequently results in significant property damage and casualties. At present, the research displacement response of a under earthquake has mainly emphasized action mainshock, without accounting for impact an aftershock, spatial variability material parameters is often neglected. fully accounted this paper, dynamic reliability permanent (DP) produc...

A series of nonlinear, explicit finite difference analyses were performed to determine the dynamic response of a cantilever retaining wall subjected to earthquake motions. This article outlines the calibration and validation of the numerical model used in the analyses and comparisons are presented between the results from the finite difference analyses and results from simplified techniques for...

A one-dimensional Klein-Gordon problem, which is a physical model for a quantum particle submitted to a potential barrier, is studied numerically : using a variational formulation and a Newmark numerical method, we compute the mean position and standard deviation of the particle as well as their time evolution.

Liquefaction phenomenon in saturated loose sandy layers occurs as an undrained response of soil when it is subjected to static or dynamic loads. A fully coupled dynamic numerical program is developed to predict the liquefaction potential of saturated sandy layers. Coupled dynamic field equations of extended Biot’s theory with u-p formulation are used to determine pore fluid and soil skeleton re...

The tension leg platform (TLP) is a vertically moored structure with excess buoyancy. The TLP is regarded as moored structure in horizontal plan, while inherit stiffness of fixed platform in vertical plane. In this paper, a numerical study using modified Morison equation was carried out in the time domain to investigate the influence of nonlinearities due to hydrodynamic forces and the coupling...

dynamic analysis of two-dimensional elasticity problems using the isogeometric analysis method and its comparison with the finite element method is the subject of this research. for this purpose, formulation of the governing differential equation is obtained by using the b-spline basis functions. some numerical examples employing consistent and lumped mass matrices are presented in order to com...