Showing papers by "Houjun Kang published in 2020"
TL;DR: In this article, a nonlinear cable excited by an inclined boundary motion, termed as cable's moving boundary problem, is attacked by two different perturbation approaches, i.e., boundary modulation formulation and the quasi-static drift formulation.
9 citations
TL;DR: As a classic bridge type, cable-stayed bridge is widely used because of its superior spanning capacity, but based on the mechanical characteristics of stay cable supporting deck, this work proposes a novel bridge type that has the potential to revolutionise bridge design.
Abstract: As a classic bridge type, cable-stayed bridge is widely used because of its superior spanning capacity. Based on the mechanical characteristics of stay cable supporting deck, we propose a novel mec...
8 citations
TL;DR: In this paper, a multi-cable-stayed shallow arch model and its related dynamic theory and behavior of a cable-Stayed bridge are investigated and the partial differential equations that govern the motion of the system are derived according to the classic dynamic equations of cables and the shallow arch.
Abstract: The multi-cable-stayed shallow arch model and its related dynamic theory and behavior of a cable-stayed bridge are proposed and investigated. The partial differential equations that govern the motion of the system are derived according to the classic dynamic equations of cables and the shallow arch. Galerkin’s integral is used to obtain the corresponding ordinary differential equations of the system. Its linear eigenvalue problem is firstly analyzed. The perturbation method of multiple scales is used to derive the modulation equations of the system subjected to boundary forced and parametric excitation, respectively. Then, the multimodal interaction among the lowest in-plane and out-of-plane modes of cables and the lowest mode of the shallow arch is investigated by analyzing the frequency–response and force–response curves of the system. The influence of excitation frequency and amplitude, and the difference between different cables on dynamic behaviors of the system are discussed.
8 citations
TL;DR: In this article, a novel modeling method is proposed and used to overcome the in-plane eigenproblem of cable-stayed bridges (CSBs), which is divided into three steps.
4 citations
TL;DR: In this paper, the authors investigated the dynamic behaviors of a cable-stayed shallow arch subjected to two external harmonic excitations using the analytical approach, and the results demonstrate that acceptable consistency is reached in the results obtained from the analytical solutions and the Runge-Kutta method in the three simulated cases.
Abstract: 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 analytical approach First, dimensionless planar vibration equations of the system are obtained by applying the Hamilton principle, and three ordinary differential equations of the arch and the two cables are obtained by using the Galerkin discretization method Second, modulation equations involving the amplitude and phase of the dynamic response of the system are derived by applying the method of multiple scales Third, three simultaneous resonance cases are considered Finally, parametric study results are illustrated through frequency responses, amplitude responses, phase plane and bifurcation diagrams Chaos phenomenon is also detected and presented To validate the developed analytical solutions, numerical simulations are conducted by applying the Runge–Kutta method to integrate the original ordinary differential equations The results demonstrate that acceptable consistency is reached in the results obtained from the analytical solutions and the Runge–Kutta method in the three simulated cases The obtained results show that the system’s dynamic responses in the three simulated cases exhibit similarities in their frequency and amplitude responses, while some qualitative differences exist in the phase plane portraits (eg, period-1, period-2, period-3 solutions) and their bifurcation diagrams
3 citations