The application of the TR-BDF2 method to second order problems typical structural mechanics and seismic engineering is discussed. A reformulation this presented, that only requires solution algebraic systems size equal number displacement degrees freedom. linear analysis numerical experiments on relevant benchmarks show superior in terms accuracy efficiency classical Newmark its generalizations.

A novel enriched finite element method (EFEM) was employed to analyze the transient wave propagation problems. In present method, traditional approximation by employing appropriate interpolation covers. We mathematically and numerically showed that EFEM possessed important monotonic convergence property with decrease of used time steps for problems when unconditional stable Newmark integration ...

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...

This study investigates message change in vocative sentences in the glorious Qur'an when translated to English. The present study aims to find the answers to the following research question: “Do the syntactical and grammatical changes affect the quality of the rhetorical message when translating vocative sentences of qur’anic texts [source language text (ST)] to English [target language text (T...

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...

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...

An effective method utilizing the differential evolution algorithm (DEA) as an optimisation solver is suggested here to detect the location and extent of single and multiple damages in structural systems using time domain response method. Changes in acceleration response of structure are considered as a criterion for damage occurrence. The acceleration of structures is obtained using Newmark me...