Dynamics of flexible beams and plates under large overall motions

Z. E. Boutaghou, A. G. Erdman, H. K. Stolarski

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


The dynamic response of flexible beams, plates, and solids undergoing arbitrary spatial motions are systematically derived via a unified approach. This formulation is capable of incorporating arbitrary representation of the kinematics of deformation, phenomenon of dynamic stiffening, and complete nonlinear interaction between elastic- and rigid-body dynamics encountered in constrained multibody systems. It is shown that the present theory captures the phenomenon of dynamic stiffening due to the transfer of the axial and membrane forces to the bending equations of beams and plates, respectively. Examples are presented to illustrate the proposed formulations.

Original languageEnglish (US)
Title of host publication13th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationMachinery Dynamics and Element Vibrations
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages10
ISBN (Electronic)9780791806272
ISBN (Print)0791806278
StatePublished - 1991
EventASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States
Duration: Sep 22 1991Sep 25 1991

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F168436-3


ConferenceASME 1991 Design Technical Conferences, DETC 1991
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 1991 American Society of Mechanical Engineers (ASME). All rights reserved.


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