NDLI: A Cantilever Conveying Fluid: Coherent Modes Versus Beam Modes

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Sarkar, A. Paidoussis, M. P.
Copyright Year	2002
Abstract	A semianalytical approach to obtain the proper orthogonal modes (POMs) is described for the non-linear oscillation of a cantilevered pipe conveying fluid. Theoretically, while the spatial coherent structures are the eigenfunctions of the time-averaged spatial autocorrelation functions, it emerges that once the Galerkin projection of the proper orthogonal modes is carried out using the uniform cantilever-beam modes, the spatial dependency of the integral eigenvalue problem can be eliminated by analytical manipulation which avoids any spatial discretization error. As the solution of the integral equation is obtained semianalytically by linearly projecting the proper orthogonal modes on the cantilever-beam modes, any linear or non-linear operation can be carried out analytically on the proper orthogonal modes. Futhermore, the reduced-order eigenvalue problem minimizes the numerical pollution which leads to spurious eigenvectors, as may arise in the case of a large-scale eigenvalue problem (without the Galerkin projection of the eigenvectors on the cantilever-beam modes). This methodology can conveniently be used to study the convergence of the numerically calculated proper or-thogonal modes obtained from the full-scale eigenvalue problem.
Sponsorship	Applied Mechanics Division
Starting Page	1119
Ending Page	1127
Page Count	9
File Format	PDF
ISBN	0791836592
DOI	10.1115/IMECE2002-32211
Volume Number	5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
Conference Proceedings	ASME 2002 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2002-11-17
Publisher Place	New Orleans, Louisiana, USA
Access Restriction	Subscribed
Subject Keyword	Cantilevers Errors Fluids Pollution Integral equations Eigenvalues Oscillations Eigenfunctions Cantilever beams Pipes
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Reduced Models for Chaotic Dynamics of a Fluid-Conveying Pipe

Dynamics of a Cantilever Electrode Beam on a Vibrating Base

Finite Amplitude Underwater Flexural Vibrations of Cantilevers

Nonlinear Analysis of a Self-Excited Cantilever Beam

Dynamics of Pipes Conveying Fluid With Non-Uniform Turbulent and Laminar Velocity Profiles

Hydrodynamic Loads on Vibrating Cantilevers Under a Free Surface in Viscous Fluids With SPH

Dynamics of Pipes Conveying Fluid With a Non-Uniform Velocity Profile

A Large Deformation Finite Element for Pipes Conveying Fluid Based on the Absolute Nodal Coordinate Formulation

A Simplified Model of Flow-Induced Oscillations of Collapsible Tubes Conveying Viscous Fluids

A Cantilever Conveying Fluid: Coherent Modes Versus Beam Modes

Similar Documents

Reduced Models for Chaotic Dynamics of a Fluid-Conveying Pipe

Dynamics of a Cantilever Electrode Beam on a Vibrating Base

Finite Amplitude Underwater Flexural Vibrations of Cantilevers

Nonlinear Analysis of a Self-Excited Cantilever Beam

Dynamics of Pipes Conveying Fluid With Non-Uniform Turbulent and Laminar Velocity Profiles

Hydrodynamic Loads on Vibrating Cantilevers Under a Free Surface in Viscous Fluids With SPH

Dynamics of Pipes Conveying Fluid With a Non-Uniform Velocity Profile

A Large Deformation Finite Element for Pipes Conveying Fluid Based on the Absolute Nodal Coordinate Formulation

A Simplified Model of Flow-Induced Oscillations of Collapsible Tubes Conveying Viscous Fluids

A Cantilever Conveying Fluid: Coherent Modes Versus Beam Modes