Dynamic Analysis of Modified Structural Systems

Santana, G.; Robinson, A.R.

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https://hdl.handle.net/2142/14133 Copy

Description

Title

Dynamic Analysis of Modified Structural Systems

Author(s)

• Santana, G.
• Robinson, A.R.

Issue Date

1986-06

Keyword(s)

• Dynamic analysis
• Perturbation
• Eigenvalues
• Eigenvectors

Abstract

A set of methods is developed to determine the changes in frequencies and mode shapes of a structure resulting from modifications of the structure. These modifications can involve an increase in the number of degrees of freedom of the system as well as changes in already existing entries in the mass and stiffness matrices of the model of the structure. Indeed, the modification may consist entirely of a refinement of the structural model. In the procedures used, each mode and frequency is .treated separately without any. need to know the other modes and frequencies. An exception is the case of multiple or close frequencies, where the whole set of equal or close eigenvalues and their eigenvectors. must be treated together. Calculations are carried out by a perturbation analysis, which can be carried as far as desired in an automatic fashion. Repeated use of the same coefficient matrix in the perturbation scheme leads to considerable economy of computational effort. Light, tuned systems attached to a structure can be treated advantageously by the procedure developed, as shown in examples.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-525

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14133

Sponsor(s)/Grant Number(s)

National Science Foundation Grants CEE 82-03973 and DSR 84-19191

Owning Collections