Interval natural frequency and mode shape analysis for truss structures with interval parameters

Authors:
Wei Gao
Affiliations:
School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, Australia
Venue:
Finite Elements in Analysis and Design
Year:
2006

Citing 4
Cited 0

Interval finite element method for beam structures

Finite Elements in Analysis and Design
Interval eigenvalue analysis for structures with interval parameters

Finite Elements in Analysis and Design
On the solution sets of particular classes of linear interval systems

Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)

Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)

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Abstract

A new method called the interval factor method (IFM) for the natural frequency and mode shape analysis of truss structures with interval parameters is presented in this paper. Using the IFM, the structural physical parameters and geometric dimensions can be considered as interval variables. The structural stiffness and mass matrices can then be, respectively, divided into the product of two parts corresponding to the interval factors and the deterministic matrix. The computational expressions for the lower and upper bound and interval change ratio of the natural frequency and mode shape are derived from Rayleigh quotient by means of the interval operations. The influences of the change of the structural parameters on the natural frequency and mode shape are demonstrated by using truss structures.