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

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

doi:10.1115/detc1993-0258

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 proceeding › Conference contribution

1 Scopus citations

Abstract

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 language	English (US)
Title of host publication	14th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publication	Vibrations of Mechanical Systems and the History of Mechanical Design
Editors	Conor Johnson, S.H. Sung
Publisher	American Society of Mechanical Engineers (ASME)
Pages	41-47
Number of pages	7
ISBN (Electronic)	9780791811795
ISBN (Print)	0791811794
DOIs	https://doi.org/10.1115/detc1993-0258
State	Published - Dec 1 1993
Event	ASME 1993 Design Technical Conferences, DETC 1993 - Albuquerque, United States Duration: Sep 19 1993 → Sep 22 1993

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	Part F167972-11

Conference

Conference	ASME 1993 Design Technical Conferences, DETC 1993
Country/Territory	United States
City	Albuquerque
Period	9/19/93 → 9/22/93

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.

Publisher link

10.1115/detc1993-0258

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D'Costa, J. F., Stolarski, H. K., & Erdman, A. G. (1993). Dynamics of curved beams undergoing large overall motions using the mode decomposition concept. In C. Johnson, & S. H. Sung (Eds.), 14th Biennial Conference on Mechanical Vibration and Noise: Vibrations of Mechanical Systems and the History of Mechanical Design (pp. 41-47). (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F167972-11). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/detc1993-0258

Dynamics of curved beams undergoing large overall motions using the mode decomposition concept. / D'Costa, Joseph F.; Stolarski, Henryk K ; Erdman, Arthur G.

14th Biennial Conference on Mechanical Vibration and Noise: Vibrations of Mechanical Systems and the History of Mechanical Design. ed. / Conor Johnson; S.H. Sung. American Society of Mechanical Engineers (ASME), 1993. p. 41-47 (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F167972-11).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

D'Costa, JF, Stolarski, HK & Erdman, AG 1993, Dynamics of curved beams undergoing large overall motions using the mode decomposition concept. in C Johnson & SH Sung (eds), 14th Biennial Conference on Mechanical Vibration and Noise: Vibrations of Mechanical Systems and the History of Mechanical Design. Proceedings of the ASME Design Engineering Technical Conference, vol. Part F167972-11, American Society of Mechanical Engineers (ASME), pp. 41-47, ASME 1993 Design Technical Conferences, DETC 1993, Albuquerque, United States, 9/19/93. https://doi.org/10.1115/detc1993-0258

D'Costa JF, Stolarski HK , Erdman AG. Dynamics of curved beams undergoing large overall motions using the mode decomposition concept. In Johnson C, Sung SH, editors, 14th Biennial Conference on Mechanical Vibration and Noise: Vibrations of Mechanical Systems and the History of Mechanical Design. American Society of Mechanical Engineers (ASME). 1993. p. 41-47. (Proceedings of the ASME Design Engineering Technical Conference). doi: 10.1115/detc1993-0258

D'Costa, Joseph F. ; Stolarski, Henryk K ; Erdman, Arthur G. / Dynamics of curved beams undergoing large overall motions using the mode decomposition concept. 14th Biennial Conference on Mechanical Vibration and Noise: Vibrations of Mechanical Systems and the History of Mechanical Design. editor / Conor Johnson ; S.H. Sung. American Society of Mechanical Engineers (ASME), 1993. pp. 41-47 (Proceedings of the ASME Design Engineering Technical Conference).

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abstract = "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.",

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AB - 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.

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

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