Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass

Kiani, Keivan; Nikkhoo, Ali; Mehri, B.

doi:10.1115/1.3147165

Cited by 25 publications

(13 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For interpolation, several powerful methods exist such as generalized moving least square method [4,26,27], in which coefficients of basis functions vary on each data point in order to interpolate local values. On the other hand, reconstruction aims to find systems that globally hold, and one can obtain relations between variables including their degree and coefficients from the results.…”

Section: Using the Order Ideal To Create A Reduced Projection Of Polymentioning

confidence: 99%

Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems

Kera

Hasegawa

2016

Nonlinear Dyn

View full text Add to dashboard Cite

Reconstruction of nonlinear dynamical systems from noisy time series data has attracted much attention in recent years, and it has broad applications in many fields, especially in theoretical biology. Here, we propose a reconstruction algorithm based on the noise-tolerant algebraic approach that can infer underlying continuous-time polynomial dynamical systems from the observed time series data. The advantages of our approach are that it can handle nonlinearity, and it can be applied to noisy systems. Our approach reduces the range of monomials to be considered without any a priori knowledge as many other studies does. We apply the proposed method to two oscillatory systems (the FitzHugh-Nagumo and the Oregonator) subject to noise, where the conventional fitting methods based on L 1 and L 2 regularizations often fail. Our numerical experiments show that the proposed method accurately reconstructs the continuous-time polynomial dynamical systems. We also apply the method to a chaotic system and show the effectiveness of our approach.

show abstract

Section: Using the Order Ideal To Create A Reduced Projection Of Polymentioning

confidence: 99%

Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems

Kera

Hasegawa

2016

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…The transverse inertial effects have been a topic of interest not only in bridge dynamics and in the design of railway tracks and guide-way systems but also in other engineering applications such as modern high-speed precision machinery processes [1]. The results of researchers highlighted the importance of the moving mass model compared to the moving force model particularly in the cases of large moving mass and high velocity [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 98%

Coupling Ritz Method and Triangular Quadrature Rule for Moving Mass Problem

Eftekhari

Jafari

2012

Journal of Applied Mechanics

View full text Add to dashboard Cite

In this paper, a mixed method that combines the Ritz method and the triangular quadrature rule (TQR) is presented for solving time-dependent problems. In this study, the Ritz method is first used to discretize the spatial partial derivatives. The TQR is then employed to analogize the temporal derivatives. The resulting algebraic formulation is a triangular matrix equation, which reduces to the solution of a system of algebraic equations of the size of the problem for each time step. This requires less computational effort compared to the differential quadrature method (DQM) where a larger system of the size of the problem should be solved within each time element. The mixed formulation combines the simplicity of the Ritz method and accuracy and computational efficiency of the TQR. The stability property and computational efficiency of the scheme are discussed in detail. Numerical results show that the proposed mixed methodology can be used as an efficient tool for handling the time-dependent problems.

show abstract

“…According to the inherent complexities of the moving mass problems in the linear beams, some studies have been carried out using different numerical schemes, e.g., [5][6][7][8][9][10]. As a nonlinear moving mass problem, Xu et al [11] derived the nonlinear equations of motion for a finite elastic beam traversed by a moving mass.…”

Section: Introductionmentioning

confidence: 99%

On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method

Kiani

Nikkhoo

2012

Acta Mech Sin

Self Cite

View full text Add to dashboard Cite

This paper deals with the capabilities of linear and nonlinear beam theories in predicting the dynamic response of an elastically supported thin beam traversed by a moving mass. To this end, the discrete equations of motion are developed based on Lagrange's equations via reproducing kernel particle method (RKPM). For a particular case of a simply supported beam, Galerkin method is also employed to verify the results obtained by RKPM, and a reasonably good agreement is achieved. Variations of the maximum dynamic deflection and bending moment associated with the linear and nonlinear beam theories are investigated in terms of moving mass weight and velocity for various beam boundary conditions. It is demonstrated that for majority of the moving mass velocities, the differences between the results of linear and nonlinear analyses become remarkable as the moving mass weight increases, particularly for high levels of moving mass velocity. Except for the cantilever beam, the nonlinear beam theory predicts higher possibility of moving mass separation from the base beam compared to the linear one. Furthermore, the accuracy levels of the linear beam theory are determined for thin beams under large deflections and small rotations as a function of moving mass weight and velocity in various boundary conditions. Keywords Nonlinear beam theory · Moving mass-beam interaction · Euler-Bernoulli beam theory · Reproducing kernel particle method (RKPM) · Galerkin method (GM)

show abstract

Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass

Cited by 25 publications

References 17 publications

Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems

Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems

Coupling Ritz Method and Triangular Quadrature Rule for Moving Mass Problem

On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method

Contact Info

Product

Resources

About