Eigenfrequencies and simplified models of semi-infinite cascades with variable boundary mass

H. A. Dleterman*, A. Metrikine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The eigenfrequencies of a semi-infinite cascade of mass-spring systems with variable boundary mass are studied. The investigation shows that real eigenfrequencies only occur for a boundary mass equal to or smaller than half the mass of the bodies in the cascade. For values of the boundary mass between a half mass and a full mass the cascade shows to have no eigenfrequencies. For a boundary mass larger than the internal masses only imaginary eigenfrequencies are present. Frequency-response functions for the different cases are derived. Some simplified models for the semi-infinite system are given and a comparison is made with the dynamic behaviour of continuous systems.

Original languageEnglish
Pages (from-to)232-235
Number of pages4
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume77
Issue number3
DOIs
Publication statusPublished - 1 Dec 1997
Externally publishedYes

Fingerprint

Dive into the research topics of 'Eigenfrequencies and simplified models of semi-infinite cascades with variable boundary mass'. Together they form a unique fingerprint.

Cite this