TECHNICAL NOTES
Aug 1, 1990

Green's Functions for Elastic Networks with Rigid Body Motion

Publication: Journal of Engineering Mechanics
Volume 116, Issue 8

Abstract

A procedure based on the theory of generalized functions is applied to the calculation of impulse response (Green's) functions of a structural network with rigid body motion. The system considered may be viewed as representation of certain large space structures and consists of torsional members with no shear and bending capacity, and Timoshenko beams with no torsional capacity. All members are rigidly connected at the network joints. Equations yielding impulse response functions are derived, and results of numerical calculations based on these equations are presented. The results confirm the practical feasibility of using the procedure for the calculation of impulse response functions for relatively complex structural networks.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Carasso, A. S., and Simiu, E. (1989). “Identification of Green's functions in structural networks.” AIAA J., 27(4), Apr., 492–499.
2.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw‐Hill, Inc., New York, N.Y., 111.
3.
Jones, D. I. G. (1986). “The impulse response function of a damped single degree of freedom system.” J. Sound Vib., 106(2), 353–356.
4.
Meirovitch, L. (1986). Elements of vibration analysis. 2nd Ed., McGraw‐Hill, Inc., New York, N.Y.
5.
Milne, H. K. (1985). “The impulse response function of a single degree of freedom system with hysteretic damping.” J. Sound Vib., 100(4), 590–593.
6.
Nashiff, A. D., Jones, D., and Henderson, J. P. (1985). Vibration damping. John Wiley and Sons, Inc., New York, N.Y., 147.
7.
Pestel, E. C., and Leckie, F. A. (1963). Matrix methods in elastomechanics. McGraw‐Hill, Inc., New York, N.Y., 133.
8.
Scanlan, R. H. (1970). “Linear damping models and causality in vibrations.” J. Sound Vib., 13(4), 499–509.
9.
Simiu, E., and Cook, G. R. (1989). “Impulse response functions for elastic structures with rigid body degrees of freedom.” J. Sound Vib., 135(2), 275–288.
10.
von Flotow, A. H. (1984). “Disturbance propagation in structural networks; control of large space structures,” thesis presented to Stanford University, Stanford, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
von Flotow, A. H. (1986). “Disturbance propagation in structural networks.” J. Sound Vib., 106(3), 433–450.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 8August 1990
Pages: 1858 - 1863

History

Published online: Aug 1, 1990
Published in print: Aug 1990

Permissions

Request permissions for this article.

Authors

Affiliations

Graham R. Cook
Res. Struct. Engr., Ctr. for Building Tech., Nat. Inst. of Standards and Tech., Gaithersburg, MD 20899
Emil Simiu, Members, ASCE
NIST Fellow, Ctr. for Building Tech., Nat. Inst. of Standards and Tech., Gaithersburg, MD

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share