Research Article
Feb 1964
Lumping of Mass in Calculating Vibration Response
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 90, Issue 1
Abstract
Analytical results are presented in which the vibration response of a uniform Bernoulli-Euler cantilever beam carrying a tip mass is compared with that of a weightless beam supporting sixteen concentrated masses. Natural frequencies and effective masses are presented for the impedance or steady-state behavior. For the shock problem, effective modal masses, as well as modal bending moment factors, are examined. Results show that the lumped mass beam depicts the shock response parameters more accurately than those associated with steady velocity at a driven point. For both shock and steady loading, the lumped mass model becomes more accurate as the ratio of tip mass to beam mass increases.
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Published In
Journal of the Engineering Mechanics Division
Volume 90 • Issue 1 • February 1964
Pages: 47 - 67
Copyright
© 1964 American Society of Civil Engineers.
History
Published in print: Feb 1964
Published online: Feb 3, 2021
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Authors
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V.H. Neubert, M.ASCE
Assoc. Prof. of Engrg. Mechanics, Pennsylvania State Univ., University Park, Pa.
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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.
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.