Add to ORKGIn chapter (1) we present numerical simulations of the eigenstates of a MBS-model (Multi-Body-System) for a continuous ring structure. Both eigenfrequencies and eigenforms show a systematic error for high mode numbers. In order to understand the source of this error, in chapter (2) we calculate analytical solutions for the eigenfrequencies of a MBS- and a FEM-model (Finite-Element-Method) for the straight beam undergoing bending oscillations. We summarize our results in chapter (3)
The modes of continuous bars, strings and Euler beams constrained only at their 2 ends have an impor...
The Fourier Modal Method (FMM, also called the Rigorous Coupled Wave Analysis, RCWA) is a numerical ...
From a computational point of view, the numerical analysis of ultrasonic guided waves is still a ver...
We investigated one-dimensional numerical dispersion curves and error behaviour of four finite-eleme...
Abstract. The spatial discretization of elastic continuum by finite element method (FEM) in-troduces...
A technique is presented whereby numerical calculations of vibration modes can be improved. The pape...
The dispersive properties of high order finite element schemes are analyzed in the setting of the He...
International audienceIn this paper, we show that two numerical methods, specifically the finite dif...
In this paper, we show that two numerical methods, specifically the finite difference method and the...
A technique is presented whereby the standard finite element approximations used in vibration analys...
This article presents a new methodology to compute numerical dispersion error. The analysis here pre...
In this paper, we examine the performance of high-order finite element methods (FEM) for aeroacousti...
An estimator for the error in the wave number is presented in the context of finite element approxim...
Closed-form expressions for the numerical errors caused by finite-element discretization of problems...
AbstractNumerical dispersion of two-dimensional finite elements was studied. The outcome of the disp...
The modes of continuous bars, strings and Euler beams constrained only at their 2 ends have an impor...
The Fourier Modal Method (FMM, also called the Rigorous Coupled Wave Analysis, RCWA) is a numerical ...
From a computational point of view, the numerical analysis of ultrasonic guided waves is still a ver...
We investigated one-dimensional numerical dispersion curves and error behaviour of four finite-eleme...
Abstract. The spatial discretization of elastic continuum by finite element method (FEM) in-troduces...
A technique is presented whereby numerical calculations of vibration modes can be improved. The pape...
The dispersive properties of high order finite element schemes are analyzed in the setting of the He...
International audienceIn this paper, we show that two numerical methods, specifically the finite dif...
In this paper, we show that two numerical methods, specifically the finite difference method and the...
A technique is presented whereby the standard finite element approximations used in vibration analys...
This article presents a new methodology to compute numerical dispersion error. The analysis here pre...
In this paper, we examine the performance of high-order finite element methods (FEM) for aeroacousti...
An estimator for the error in the wave number is presented in the context of finite element approxim...
Closed-form expressions for the numerical errors caused by finite-element discretization of problems...
AbstractNumerical dispersion of two-dimensional finite elements was studied. The outcome of the disp...
The modes of continuous bars, strings and Euler beams constrained only at their 2 ends have an impor...
The Fourier Modal Method (FMM, also called the Rigorous Coupled Wave Analysis, RCWA) is a numerical ...
From a computational point of view, the numerical analysis of ultrasonic guided waves is still a ver...