A Hybrid Inverse Mode Problem for Fixed-Fixed Mass-Spring Models-Reference-Cited by-同舟云学术

A Hybrid Inverse Mode Problem for Fixed-Fixed Mass-Spring Models

Published:1996-10-01 Issue:4 Volume:118 Page:641-648
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Takewaki Izuru¹,Nakamura Tsuneyoshi¹,Arita Yasumasa²

Affiliation:

1. Department of Architectural Engineering, Kyoto University, Sakyo, Kyoto 606, Japan

2. Shimizu Corporation, Minato-ku, Tokyo 104, Japan

Abstract

A hybrid inverse mode problem is formulated for a fixed-fixed mass-spring model. A problem of eigenvalue analysis and its inverse problem are combined in this hybrid inverse mode formulation. It is shown if all the masses and the mid-span stiffnesses of the model are prescribed, then the stiffnesses of the left and right spans (side-spans) can be found for a specified lowest eigenvalue and a specified set of lowest-mode drifts in the side-spans. Sufficient conditions are introduced and proved for a specified eigenvalue and a specified set of drifts in the side-spans to provide positive stiffnesses of the side-spans and to be those in the lowest eigenvibration. A set of solution stiffnesses in the side-spans is derived uniquely in closed form.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/118/4/641/5657655/641_1.pdf

Reference28 articles.

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