A time-domain spectral element method with C1 continuity for static and dynamic analysis of frame structures

Han, Lu; Wang, Jingxiong; Li, Hongjing; Sun, Guangjun

doi:10.1016/j.istruc.2020.08.074

Structures

2020

DOI: 10.1016/j.istruc.2020.08.074

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A time-domain spectral element method with C1 continuity for static and dynamic analysis of frame structures

Lu Han

Jingxiong Wang

Hongjing Li

et al.

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Cited by 8 publications

References 24 publications

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Time‐Domain Spectral BFS Plate Element With Lobatto Basis for Wave Propagation Analysis

Ambati,

Eisenträger,

Kapuria

2024

Numerical Meth Engineering

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A computationally efficient spectral Kirchhoff plate element is presented for time‐domain analysis of wave propagation at high frequencies in thin isotropic plates. It employs a ‐continuous spectral interpolation based on the modified bi‐Hermite polynomials using the Gauss–Lobatto–Legendre (GLL) points as a basis with selective collocation of rotational and twisting degrees of freedom (DOFs) at element edge and corner nodes. The lowest order version of the proposed element reduces to the classical Bogner–Fox–Schmit (BFS) element for Kirchhoff plates. The GLL basis allows diagonalisation of the mass matrix using the nodal quadrature technique, which enhances the computational efficiency. The numerical properties of the proposed element are comprehensively evaluated, including the conditioning of the system matrices. Moreover, the effect of employing different numerical integration schemes and nodal sets is examined in both static and free vibration analyses. The effectiveness of the proposed element in wave propagation problems is evaluated by comparing its performance to the converged solutions achieved using the BFS element with a very fine mesh. Results demonstrate that the current element, without and even with mass matrix diagonalisation delivers exceptional accuracy while also exhibiting faster convergence and enhanced computational efficiency than the existing Kirchhoff plate elements.

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Time‐Domain Spectral BFS Plate Element With Lobatto Basis for Wave Propagation Analysis

Ambati,

Eisenträger,

Kapuria

2024

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

Efficient layerwise multiphysics spectral element model for delaminated composite strips with PWAS transducers

Jain,

Kapuria

2025

European Journal of Mechanics - A/Solids

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Some issues regarding the models of the mass and damping matrices in nonlinear seismic analysis of moment resisting steel frames

et al. 2021

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A time-domain spectral element method with C1 continuity for static and dynamic analysis of frame structures

Cited by 8 publications

References 24 publications

Time‐Domain Spectral BFS Plate Element With Lobatto Basis for Wave Propagation Analysis

Time‐Domain Spectral BFS Plate Element With Lobatto Basis for Wave Propagation Analysis

Efficient layerwise multiphysics spectral element model for delaminated composite strips with PWAS transducers

Some issues regarding the models of the mass and damping matrices in nonlinear seismic analysis of moment resisting steel frames

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