Dynamic model of curved pipe conveying fluid based on the absolute nodal coordinate formulation

JR Yuan, H Ding - International Journal of Mechanical Sciences, 2022 - Elsevier
The dynamic model of the curved pipes conveying fluid, established by the generalized
Hamiltonian principle, has been widely used to study the vibration properties of pipes with …

Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

H Ding, LQ Chen - Nonlinear Dynamics, 2019 - Springer
Bending vibration of isolated structures has always been neglected when the vibration
isolation was studied. Isolated structures have usually been treated as discrete systems. In …

Non-trivial equilibriums and natural frequencies of a slightly curved pipe conveying supercritical fluid

SQ Ye, H Ding, S Wei, JC Ji, LQ Chen - Ocean Engineering, 2021 - Elsevier
Despite extensive use of curved pipes conveying high-speed fluids in many engineering
fields, few researches have been conducted on the supercritical dynamics of curved pipes to …

Nonlinear vibrations of a slightly curved beam with nonlinear boundary conditions

SQ Ye, XY Mao, H Ding, JC Ji, LQ Chen - International Journal of …, 2020 - Elsevier
The existing studies of nonlinear vibration of elastic structures are usually focused on
straight structures with homogeneous linear boundaries. Differently, this paper investigates …

Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems

MP Cartmell, SW Ziegler, R Khanin… - Appl. Mech …, 2003 - asmedigitalcollection.asme.org
This review article starts by addressing the mathematical principles of the perturbation
method of multiple scales in the context of mechanical systems which are defined by weakly …

Various bifurcation phenomena in a nonlinear curved beam subjected to base harmonic excitation

J Huang, KLR Su, YYR Lee, S Chen - International Journal of …, 2018 - World Scientific
Various bifurcation phenomena in a nonlinear curved beam subjected to base harmonic
excitation, which is governed by a coupled nonlinear equation with both quadratic and cubic …

Nonlinear vibration of a nanobeam on a Pasternak elastic foundation based on non-local Euler-Bernoulli beam theory

N Togun, SM Bağdatlı - Mathematical and Computational Applications, 2016 - mdpi.com
In this study, the non-local Euler-Bernoulli beam theory was employed in the nonlinear free
and forced vibration analysis of a nanobeam resting on an elastic foundation of the …

The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading

AO Oyelade, AA Oyediran - Applied Mathematical Modelling, 2020 - Elsevier
Slightly curved pipes are prevalent in many industries including oil installations especially in
the Delta regions of the world. The aim of this paper therefore is to investigate the nonlinear …

Nonlinear forced vibrations of a slightly curved pipe conveying supercritical fluid

SQ Ye, H Ding, S Wei, JC Ji… - Journal of Vibration and …, 2023 - journals.sagepub.com
Vibrations of pipes caused by axially flowing fluids are very common in engineering
applications. Due to material imperfections, guide misalignment, and improper supports, the …

Free vibration analysis and numerical simulation of slightly curved pipe conveying fluid based on Timoshenko beam theory

JR Yuan, X Fan, S Shu, H Ding… - International Journal of …, 2022 - World Scientific
The modeling of a slightly curved pipe conveying fluid usually adopts the Euler–Bernoulli
beam theory. In this paper, a dynamic model of the slightly curved pipe conveying fluid …