Application of the differential transformation method to vibration analysis of pipes conveying fluid

Q Ni, ZL Zhang, L Wang - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, a relatively new semi-analytical method, called differential transformation
method (DTM), is generalized to analyze the free vibration problem of pipes conveying fluid …

Dynamical modeling and multi-pulse chaotic dynamics of cantilevered pipe conveying pulsating fluid in parametric resonance

YF Zhang, MH Yao, W Zhang, BC Wen - Aerospace Science and …, 2017 - Elsevier
The dynamical modeling, multi-pulse orbits and chaotic dynamics of cantilevered pipe
conveying pulsating fluid with harmonic external force are studied using the energy-phase …

[HTML][HTML] Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses

T Zhang, H Ouyang, YO Zhang, BL Lv - Applied Mathematical Modelling, 2016 - Elsevier
In this paper, nonlinear equations of three-dimensional motion are established for straight
fluid-conveying pipes with general boundary conditions. Firstly ten springs at the two ends of …

Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: comparison of POD and asymptotic nonlinear normal modes methods

M Amabili, C Touzé - Journal of fluids and structures, 2007 - Elsevier
The aim of the present paper is to compare two different methods available for reducing the
complicated dynamics exhibited by large amplitude, geometrically nonlinear vibrations of a …

Nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of a cantilevered pipe conveying pulsating fluid under external …

YF Zhang, T Liu, W Zhang - Complexity, 2020 - Wiley Online Library
The nonlinear resonant responses, mode interactions, and multitime periodic and chaotic
oscillations of the cantilevered pipe conveying pulsating fluid are studied under the …

Chaotic vibrations of circular cylindrical shells: Galerkin versus reduced-order models via the proper orthogonal decomposition method

M Amabili, A Sarkar, MP Païdoussis - Journal of Sound and Vibration, 2006 - Elsevier
The geometric nonlinear response of a water-filled, simply supported circular cylindrical
shell to harmonic excitation in the spectral neighbourhood of the fundamental natural …

Normal form theory and nonlinear normal modes: theoretical settings and applications

C Touzé - Modal analysis of nonlinear mechanical systems, 2014 - Springer
These lecture notes are related to the CISM course on” Modal Analysis of nonlinear
Mechanical systems”, held at Udine, Italy, from June 25 to 29, 2012. The key concept at the …

A horizontal fluid-conveying cantilever: spatial coherent structures, beam modes and jumps in stability diagram

MP Paıdoussis, A Sarkar, C Semler - Journal of sound and vibration, 2005 - Elsevier
The proper orthogonal decomposition method is used to obtain a low-dimensional model for
the planar non-linear dynamics of a horizontal fluid-conveying cantilever undergoing a limit …

Linear system identification using proper orthogonal decomposition

M Khalil, S Adhikari, A Sarkar - Mechanical Systems and Signal Processing, 2007 - Elsevier
A least-square-based method to identify the system matrices of linear dynamical systems is
proposed. The primary focus is on the identification of a reduced-order model of the system …

Acoustic nanowave absorption through clustered carbon nanotubes conveying fluid

Z Zhang, Y Liu, H Zhao, W Liu - Acta Mechanica Solida Sinica, 2016 - Springer
Absorption of acoustic nanowave in specific frequency region is important for the design of
acoustic filter. This paper puts forward a meta material model made up of fluid-conveying …