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Article
Modal truncation method for continuum structures based on matrix norm: modal perturbation method
Modal analysis is a widely applied method to study the vibration phenomenon of continuum structures, but there is no clear method to solve the modal truncation problem at present. To determine the contribution...
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Article
Transfer matrix method for free and forced vibrations of multi-level functionally graded material stepped beams with different boundary conditions
Functionally graded materials (FGMs) are a novel class of composite materials that have attracted significant attention in the field of engineering due to their unique mechanical properties. This study aims to...
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Article
Nonlinear dynamic analysis of a cable-stayed beam with a nonlinear energy sink
In recent years, nonlinear energy sink (NES) has received widespread attention from scholars as an efficient passive control means. In this paper, the effect of NES on the nonlinear dynamic response of the cab...
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Article
Nonlinear resonant response of a buckled beam coupled with a boundary massive oscillator
This study focuses on nonlinear modal resonant dynamics of a buckled beam coupled with a boundary massive oscillator. To reveal buckled beam–boundary oscillator coupling effect, extended Hamilton principle is ...
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Article
Nonlinear dynamic analysis of vortex-induced resonance of a flexible cable
The purpose of this paper is to study the nonlinear dynamics of a stay cable in cable-stayed bridges caused by vortex-induced vibration (VIV). The equation of the planar transverse motion of the stay cable und...
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Article
Vibration suppression of a cable-stayed beam by a nonlinear energy sink
The vibration control of cables of cable-stayed bridges has been one of the hot research fields in recent years. In this study, the influence of a nonlinear energy sink (NES) on vibration of the cable-stayed b...
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Article
Resonance analysis between deck and cables in cable-stayed bridges with coupling effect of adjacent cables considered
The nonlinear dynamic model of a shallow arch with multiple cables is developed to model a long-span cable-stayed bridge. Based on the veering phenomenon of cable-stayed bridges, the in-plane modal internal re...
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Article
Internal resonance and energy transfer of a cable-stayed beam with a tuned mass damper
This study considers a novel nonlinear system, namely a cable-stayed beam with a tuned mass damper (cable-beam-TMD model), allowing the description of energy transfer among the beam, cable and TMD. In this sys...
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Article
Modeling, dynamics, and parametric studies of a multi-cable-stayed beam model
To study the dynamic behavior of cable-stayed bridges, a linear multi-cable-stayed beam model is developed to investigate its in-plane and out-of-plane transverse vibrations. From the full-bridge perspective, ...
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Article
Theoretical analysis of dynamic behaviors of cable-stayed bridges excited by two harmonic forces
To better understand the dynamic behaviors of cable-stayed bridges, this study investigates the dynamic behaviors of a cable-stayed shallow arch subjected to two external harmonic excitations using the analyti...
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Article
Dynamic analysis of the in-plane free vibration of a multi-cable-stayed beam with transfer matrix method
Cable-stayed bridge is one of the most popular bridges in the world and is always the focus in engineering field. In this work, the in-plane free vibration of a multi-cable-stayed beam, which exists in cable-s...
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Article
Analysis of in-plane 1:1:1 internal resonance of a double cable-stayed shallow arch model with cables’ external excitations
The nonlinear dynamic behaviors of a double cable-stayed shallow arch model are investigated under the one-to-one-to-one internal resonance among the lowest modes of cables and the shallow arch and external pr...
