Result: A numerical method for stability analysis of pinned flexible mechanisms

Title:
A numerical method for stability analysis of pinned flexible mechanisms
Authors:
BEALE, D. G, LEE, S. W
Source:
Journal of sound and vibration. 192(5):941-958
Publisher Information:
London: Elsevier, 1996.
Publication Year:
1996
Physical Description:
print, 21 ref
Original Material:
INIST-CNRS
Subject Terms:
Civil engineering, Génie civil, Mechanical engineering, Génie mécanique, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Genie mecanique. Construction mecanique, Mechanical engineering. Machine design, Transmissions, Drives, Mécanismes articulés, cames, Linkage mechanisms, cams, Effet non linéaire, Non linear effect, Efecto no lineal, Flambage, Buckling, Pandeo, Limite stabilité, Stability boundary, Límite estabilidad, Mécanisme articulé, Linkage mechanism, Mecanismo articulado, Méthode numérique, Numerical method, Método numérico, Stabilité dynamique, Dynamic stability, Estabilidad dinámica, Structure flexible, Flexible structure, Estructura flexible, Système bielle manivelle, Slider crank mechanism, Sistema biela manivela
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mechanical Engineering, 202 Ross Hall, Auburn University, AL 36849-5341, United States
ISSN:
0022-460X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=3094555
Rights:
Copyright 1996 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mechanical engineering. Mechanical construction. Handling
Accession Number:
edscal.3094555
Database:
PASCAL Archive

Further Information

A technique is presented to investigate the stability of mechanisms with pin-jointed flexible members. The method relies on a special floating frame from which elastic link co-ordinates are defined. Energies are easily developed for use in a Lagrange equation formulation, leading to a set of non-linear and mixed ordinary differential-algebraic equations of motion with constraints. Stability and bifurcation analysis is handled using a numerical procedure (generalized co-ordinate partitioning) that avoids the tedious and difficult task of analytically reducing the system of equations to a number equalling the system degrees of freedom. The proposed method was then applied to (I) a slider-crank mechanism with a flexible connecting rod and crank of constant rotational speed, and (2) a four-bar linkage with a flexible coupler with a constant speed crank. In both cases, a single pinned-pinned beam bending mode is employed to develop resonance curves and stability boundaries in the crank length-crank speed parameter plane. Flip and fold bifurcations are common occurrences in both mechanisms. The accuracy of the proposed method was also verified by comparison with previous experimental results [1].