We prove error estimates for the wave equation semi-discretized in space by hybrid high-order (HHO) method. These lead to optimal convergence rates smooth solutions. consider first second-order formulation time, which we establish $${\varvec{H}}^1$$ and $${\varvec{L}}^2$$ -error estimates, then first-order formulation, estimates. For both formulations, semi-discrete HHO scheme has close links w...

Since the actuator capacity is limited, in the real application of active control systems under sever earthquakes it is conceivable that the actuators saturate, hence the actuator saturation should be considered as a constraint in design of optimal controllers. In this paper optimal design of active controllers for nonlinear structures by considering actuator saturation, has been studied. The p...

This paper gives a review of integration algorithms for finite dimensional mechanical systems that are based on discrete variational principles. The variational technique gives a unified treatment of many symplectic schemes, including those of higher order, as well as a natural treatment of the discrete Noether theorem. The approach also allows us to include forces, dissipation and constraints ...

Abstract The objective of this paper is to expediently expose the seismic performance pertinent demand and capacity general long-span suspension bridges crossing active faults. Firstly three dimensional finite element model ordinary bridge established based on powerful attractive software ANSYS. Secondly a series appropriate fault ground motions with different target final permanent displacemen...

efficiency of numerical methods is an important problem in dynamic nonlinear analyses. it is possible to use of numerical methods such as beta-newmark in order to investigate the structural response behavior of the dynamic systems under random sea wave loads but because of necessity to analysis the offshore systems for extensive time to fatigue study it is important to use of simple stable meth...

In this article, the residual vibration of a simply supported beam with moving mass is studied. The moves from starting point to an end on trapezoidal velocity profile having accelerating, constant and decelerating time intervals. mid-point after stops analyzed. mathematical model system developed using finite element (FE) theory. Newmark method used for solution FE dependent matrices because m...

Abstract Vibrational characteristics of a sandwich beam in thermal environments subjected to blast pressure are investigated this paper. The is composed two isotropic skins and an open-cell metal foam core with either uniform or symmetric distribution internal pores. loading modelled by Friedlander’s equation. A two-unknown higher-order theory combined Hamilton’s principle used establish the go...

The purpose of this work is twofold. First, we demonstrate analytically that the classical Newmark family as well as related integration algorithms are variational in the sense of the Veselov formulation of discrete mechanics. Such variational algorithms are well known to be symplectic and momentum preserving and to often have excellent global energy behaviour. This analytical result is veri ed...

The shape and the amplitude of the design spectrum are critical to the safe design of structures. This paper presents suggested changes to the shape constraints for the design spectrum in the 0.5 to 3 Hz range for large intraplate earthquakes. The main recommendation arises because of the impact on a large pulse loading within an intraplate earthquake with a frequency of 1 to 2 Hertz. Newmark a...