An efficient three-dimensional dynamic stiffness-based model for predicting subway train-induced building vibrations

Y Ren, S Qu, J Yang, Q Li, B Zhu, W Zhai… - Journal of Building …, 2023 - Elsevier
The prediction of train-induced vibration in buildings constructed above the subway is a
challenging problem due to its sophisticated system and time-consuming calculation. This …

[HTML][HTML] An advanced train-slab track spatially coupled dynamics model: Theoretical methodologies and numerical applications

J Luo, S Zhu, W Zhai - Journal of Sound and Vibration, 2021 - Elsevier
Train-slab track spatial interactions generally deal with system vibrations in vertical, lateral
and longitudinal directions. In the majority of conventional dynamics models, vertical-lateral …

A study of a nonlinear vibration isolator supported on an imperfect boundary plate

ZQ Lu, RB Hao, H Ding, LQ Chen - Communications in Nonlinear Science …, 2024 - Elsevier
The research on the nonlinear vibration isolation of continuum systems always focuses on
the perfect boundary conditions. In this work, nonlinear isolation of transverse vibrations of …

Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev–Lagrangian method

Y Chen, G Jin, Z Liu - International Journal of Mechanical Sciences, 2014 - Elsevier
A Chebyshev–Lagrangian method is proposed to handle the flexural and in-plane vibrations
of plate with cutout under general boundary conditions. By setting groups of boundary …

Harmonic response analysis of coupled plate structures using the dynamic stiffness method

C Zhang, G Jin, T Ye, Y Zhang - Thin-Walled Structures, 2018 - Elsevier
In this study, the dynamic stiffness method (DSM) is applied to study the free and forced
vibration behaviors of thin, three-dimensionally coupled plate structures. Both the flexural …

Exact solutions for the free in-plane vibrations of rectangular plates with arbitrary boundary conditions

Y Zhou, Q Wang, D Shi, Q Liang, Z Zhang - International Journal of …, 2017 - Elsevier
Though the free in-plane vibration problem of rectangular plates with classical boundary
conditions have been studied using various numerical methods like direct separation of …

A series solution for the in-plane vibration analysis of orthotropic rectangular plates with non-uniform elastic boundary constraints and internal line supports

D Shi, Q Wang, X Shi, F Pang - Archive of Applied Mechanics, 2015 - Springer
In this investigation, the free in-plane vibration analysis of orthotropic rectangular plates with
non-uniform boundary conditions and internal line supports is performed with a modified …

Free in-plane vibration of irregular laminated plate with curved edges based on boundary-type Chebyshev–Ritz method

T Zhao, Y Chen, L Dai, S Linghu, G Zhang - Thin-Walled Structures, 2023 - Elsevier
The free in-plane vibration characteristics of laminated plate with arbitrarily geometrical
shape and generally restrained edges, including curved and inclined edges, are …

A spectral dynamic stiffness method for free vibration analysis of plane elastodynamic problems

X Liu, JR Banerjee - Mechanical Systems and Signal Processing, 2017 - Elsevier
A highly efficient and accurate analytical spectral dynamic stiffness (SDS) method for modal
analysis of plane elastodynamic problems based on both plane stress and plane strain …

Benchmark analytic in-plane vibration frequencies of orthotropic rectangular plates

A Deutsch, M Eisenberger - Journal of Sound and Vibration, 2022 - Elsevier
The in-plane vibrations of rectangular plates is classic problem in mechanics. It involves the
solution of two coupled differential equations with many combinations of possible edge …