TECHNICAL NOTES
Aug 1, 1997
Vibration of Elastic Continuum Carrying Accelerating Oscillator
Publication: Journal of Engineering Mechanics
Volume 123, Issue 8
Abstract
In this technical note the method of solving the problem of dynamic response of an elastic structure carrying a moving oscillator, given in the writers' companion paper, is discussed further. The aim of this work is to apply the method to the case of an arbitrarily varying oscillator speed. It is shown that in this case the problem reduces to the integration of a system of linear ordinary differential equations of the same form and complexity as that in the companion paper. Results of numerical experiments have been included. Also, the problem of determining an accurate lower bound for the solution has been discussed.
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References
1.
Pesterev, A. V., and Bergman, L. A.(1997). “Response of elastic continuum carrying moving linear oscillator.”J. Engrg. Mech., ASCE, 123(8), 878–884.
2.
Sadiku, S., and Leipholz, H. H. E.(1987). “On the dynamics of elastic systems with moving concentrated masses.”Ingenieur-Archiv, 57, 223–242.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Aug 1, 1997
Published in print: Aug 1997
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Alexander V. Pesterev
Inst. for System Analysis, Russian Academy of Sciences, pr. 60-letiya, Oktyabrya 9, Moscow, 117312 Russia.
Lawrence A. Bergman, Member, ASCE
Prof., Aeronautical and Astronautical Engrg. Dept., Univ. of Illinois, 104 South Wright St., Urbana, IL 61801.
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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.
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.