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

[+] Author and Article Information
Izuru Takewaki, Tsuneyoshi Nakamura

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

Yasumasa Arita

Shimizu Corporation, Minato-ku, Tokyo 104, Japan

J. Vib. Acoust 118(4), 641-648 (Oct 01, 1996) (8 pages) doi:10.1115/1.2888346 History: Received June 01, 1995; Online February 26, 2008


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.

Copyright © 1996 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In