Abstract
Lumped parameter models commonly used to describe continuous one-dimensional and Bernoulli-Elder beam vibration problems have been compared on the basis of maximum system, strain energy. The consistent mass matrix approach has been included in the comparison. Standard matrix techniques have been employed to mathematically obtain desired solutions. Closed form solutions and solutions via the models to Ike system strain energy were obtained for all systems in three dynamic states: Free vibrations, constant base acceleration, and half sine base acceleration. Behavior of the strain energy errors, in general, were found to be similar to those of the frequency root errors. © 1972 by ASME.
Recommended Citation
S. K. Tolani and R. D. Rocke, "A Strain Energy Comparison Of Discrete Modeling For Vibrating Continuous Systems," Journal of Manufacturing Science and Engineering, Transactions of the ASME, vol. 94, no. 1, pp. 23 - 30, American Society of Mechanical Engineers, Jan 1972.
The definitive version is available at https://doi.org/10.1115/1.3428117
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
1528-8935; 1087-1357
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Society of Mechanical Engineers, All rights reserved.
Publication Date
01 Jan 1972
