Wave propagation analysis of frame structures using the spectral element method

Igawa, Hirotaka; Komatsu, Keiji; Yamaguchi, Isao; Kasai, Tokio

doi:10.1016/j.jsv.2003.11.026

Cited by 43 publications

(22 citation statements)

References 1 publication

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“…The shape functions of SEM are frequency-dependent while those of the conventional finite element method are only determined by coordinates. In the SEM, the geometrically and materially uniform member can be replaced with only one spectral element, which reduces the total number of degrees of freedom and the calculation time [12]. The spectral transfer matrix method (STMM) is a modified transfer matrix method [13] that combines the transfer matrix method and SEM.…”

Section: Introductionmentioning

confidence: 99%

Study on Transmission Characteristics of Vertical Rail Vibrations in Ballast Track

Sheng

Zhao

Wang

et al. 2017

Mathematical Problems in Engineering

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A plane half-track model and a periodic track-substructure model are established. The spectral element method and spectral transfer matrix method are developed and applied to investigate the track decay rate (TDR) and transmission rate (TR) of the vertical rail vibrations, which can reflect the transmission characteristics in the longitudinal and downward directions, respectively. Furthermore, the effects of different track parameters on TDR and TR are investigated. The results show that the antiresonance frequency of the rail and the out-of-phase resonance frequency of the rail and sleeper form the boundary frequencies of the highattenuation zone for longwise vibration transmission, where the vibration absorption of the sleeper is significant. The downward transmissibility of vertical rail vibrations is greatest around the antiresonance frequency of the rail. Vertical rail vibrations are primarily transmitted in the downward direction at low frequencies, while they are mainly transmitted along the rail at high frequencies. Stiffer rail pads can make more vibrations transmitted downwards to the sleeper above the antiresonance frequency of the rail, while the changes of other track parameters have different effects on the transmission characteristics. Additionally, a field measurement is performed for verification, and the simulations are well consistent with measurements.

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Section: Introductionmentioning

confidence: 99%

Study on Transmission Characteristics of Vertical Rail Vibrations in Ballast Track

Sheng

Zhao

Wang

et al. 2017

Mathematical Problems in Engineering

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“…When the spectral stiffness matrix of element has been obtained, the same assembly process as conventional FEM is executed to obtain the global spectral stiffness matrix of structures [2,8]. Therefore, the global displacement vector in Laplace domain can be expressed as …”

Section: B Global Stiffness Matrixmentioning

confidence: 99%

“…Because of the periodicity of FFT [8], the FFT-based SEM mainly concentrated on infinite or semi-infinite elements. H. Igawa et al [8] proposed Laplace transform instead of FFT to avoid the periodicity in SEM. However, H. Igawa's work was limited to concentrated loads.…”

Section: Introductionmentioning

confidence: 99%

The Dynamic Analysis of Beams under Distributed Loads Using Laplace-Based Spectral Element Method

Zhang

Zhu

Wang

2009

2009 International Conference on Information Engineering and Computer Science

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The finite element method (FEM) is certainly one of the most popular methods used for structural analysis. However, it is well known that a sufficiently large number of finite elements are necessary in order to obtain reliable structural dynamic responses owing to their high flexibility and large size, especially at high frequency. Since the shape functions of the spectral element method (SEM) are exact solutions of the governing differential equations of structures, the number of elements is significantly decreased. Unfortunately, conventional SEM can only be applied to structures subjected to concentrated loads. This paper presents the dynamic analysis of beams under distributed loads using Laplace-based SEM. Distributed loads are equivalent to concentrated nodal forces based on the principle of linear superposition. A continuous Bernoulli-Euler beam subjected to uniform vertical dynamic distributed load is analyzed here to show the effect of SEM. Both internal viscoelastic damping and external viscous damping are considered in this paper. The numerical results obtained from SEM are compared with those from FEM. It has been found that the SEM provides good dynamic results under distributed loads. The SEM has been proved to be an efficient method to analyze the dynamic responses of structures while the number of elements can greatly decrease.

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“…In most cases the structure consists of one single beam [10] or a simple truss [14] subjected to a dynamic force. Penava applied SEM to calculate response of 2D frame structure subjected to a Rayleigh wave ( [15][16][17]).…”

Section: Introductionmentioning

confidence: 99%

Dynamic Soil-Structure Analysis of Tower-Like Structures Using Spectral Elements

et al. 2018

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Abstract:In this paper general equation system for linear dynamic soil-structure interaction (SSI) in frequency domain is presented. The main objective of the paper is to provide and investigate a possibility to use spectral elements in SSI domain. Spectral elements reduce considerably number of unknowns and in some cases, e.g. in frame structures coupled with analytically obtained impedance functions of sub-grade, produce no modelling errors. Results for two different shallow-founded beam structures with identical foundations excited by harmonic free-field motions are presented.

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Wave propagation analysis of frame structures using the spectral element method

Cited by 43 publications

References 1 publication

Study on Transmission Characteristics of Vertical Rail Vibrations in Ballast Track

Study on Transmission Characteristics of Vertical Rail Vibrations in Ballast Track

The Dynamic Analysis of Beams under Distributed Loads Using Laplace-Based Spectral Element Method

Dynamic Soil-Structure Analysis of Tower-Like Structures Using Spectral Elements

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