Dynamics of curved beams undergoing large overall motions using the mode decomposition concept

Joseph F. D'Costa, Henryk K Stolarski, Arthur G Erdman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


A fully nonlinear formulation for the dynamics of initially curved and twisted beams, undergoing arbitrary spatial motions, is presented. The formulation admits finite bending, shearing and extension of the beam. The Mode decomposition method is employed to modify the strains in the finite element discretization process leading to the elimination of shear and membrane locking phenomena that arise in curved elements. The model incorporates all inertia effects and is capable of accurately capturing the phenomena of dynamic stiffening due to the coupling of the axial and membrane forces to the flexural deformation. All motion is referred to the inertial frame. The nonlinear formulation is suitable for modeling flexible multibody systems. Examples are, presented to illustrate the validity of the proposed formulation.

Original languageEnglish (US)
Title of host publication14th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationVibrations of Mechanical Systems and the History of Mechanical Design
EditorsConor Johnson, S.H. Sung
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages7
ISBN (Electronic)9780791811795
ISBN (Print)0791811794
StatePublished - Dec 1 1993
EventASME 1993 Design Technical Conferences, DETC 1993 - Albuquerque, United States
Duration: Sep 19 1993Sep 22 1993

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167972-11


ConferenceASME 1993 Design Technical Conferences, DETC 1993
Country/TerritoryUnited States

Bibliographical note

Funding Information:
Support of the Minnesota Supercomputer Institute in the form of a Computer time grant is gratefully acknowledged.

Publisher Copyright:
© 1993 American Society of Mechanical Engineers (ASME). All rights reserved.


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