Title

On Concentrated Masses And Stiffnesses In Structural Theories

Keywords

Concentrated masses and stiffnesses; Elastic theory; Green's function; Mindlin plate; Point force; Vibration

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.

Publication Date

1-1-2004

Publication Title

International Journal of Structural Stability and Dynamics

Volume

4

Issue

2

Number of Pages

171-179

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1142/s0219455404001173

Socpus ID

10444254569 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/10444254569

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