On concentrated masses and stiffnesses in structural throries

Author(s)
Author(s)
Wang, D. J.
Wang, Q.
Date Issued
2004
Publisher
World Scientific Publishing Company
Journal
International Journal of Structural Stability and Dynamics
Volume
4
Issue
2
Start page
171
End page
179
Abstract
Vibration of structures subjected to concentrated masses and stiffnesses is a popular topic of interest and significance in the mechanics community. Unfortunately, in vibration analysis of structures, the concentrated parameters such as masses, springs, and even supports are not permitted theoretically for some cases. In this paper, we prove that concentrated parameters are not admissible in vibration analysis for those structures whose static Green's functions have a singularity at the origin. The classes of structure include membranes, Mindlin plates and various theories of shells.
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DOI
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