TECHNICAL PAPERS
Jan 1, 1989

Numerical Solution for Response of Beams with Moving Mass

Publication: Journal of Structural Engineering
Volume 115, Issue 1

Abstract

An analytical‐numerical method is presented that can be used to determine the dynamic behavior of beams, with different boundary conditions, carrying a moving mass. This article demonstrates the transformation of a familiar governing equation into a new, solvable series of ordinary differential equations. The correctness of the results has been ascertained by a comparison, using finite element models, and very good agreement has been obtained. Furthermore, the article shows that the response of structures due to moving mass, which has often been neglected in the past, must be properly taken into account because it often differs significantly from the moving force model.

Get full access to this article

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

References

1.
Akin, J. E. (1982). Application and implementation of finite element methods. Academic Press, New York, N.Y.
2.
Fryba, L. (1971). Vibration of solids and structures under moving loads Noordhoff International Publishing, Groningen, The Netherlands.
3.
Jeffcott, H. H. (1929). “On the vibration of beams under the action of moving loads.” Phil. Mag. 7(8), 66.
4.
Mofid, M. (1989). “Response of structures with moving mass,” thesis presented to Rice University in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Odman, S. T. (1948). “Differential equation for calculation of vibrations produced in load‐bearing structures by moving loads.” Preliminary Publication, Int. Assn. for Bridge and Struct. Engrg., 3d Congress, Liege.
6.
PAFEC Data Preparation. (1978). Pafec Ltd., Nottingham, U.K.
7.
Pestel, E. (1951). “Tragweksauslenkung unter bewegter Last.” Ingen.‐Arch., 19, 378.
8.
Steuding, H. (1934). “Die Schwingung von Tragern bei bewegten Lasten.” Ingen.‐Arch., 5, 275.
9.
Speckheart, F. H. (1976). A guide to using CSMP—The continuous system modeling program. Prentice‐Hall Inc., Englewood Cliffs, N.J.
10.
Stanisic, M. M., and Hardin, J. C. (1969). “On response of beams to an arhitry number of moving masses.” J. Franklin Inst., 287, 115.
11.
Stanisic, M. M., Euler, J. A., and Montgomery, S. T. (1974). “On a theory concerning the dynamic behavior of structures carrying moving masses.” Ingen. Arch., 43, 295.
12.
Young, D., and Flegar, R., Jr. (1949). “Tables of characteristic functions representing normal modes of vibration of a beam.” University of Texas Austin, Tex.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 1January 1989
Pages: 120 - 131

History

Published online: Jan 1, 1989
Published in print: Jan 1989

Permissions

Request permissions for this article.

Authors

Affiliations

John E. Akin
Chmn., Dept of Mech. Engrg. and Materials Sci. Dept., Rice Univ., Houston, TX 77251‐1892
Massood Mofid
Grad. Student, Dept. of Mech. Engrg. and Materials Sci. Dept., Rice Univ.

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.

Cited by

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