Chapter 8: Affine approach in solving linear structural dynamic problems with uncertain parameters
S. Rout; Snehashish Chakraverty Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India
Abstract
The present chapter proposes an affine approach for computing the linear structural dynamic problems having uncertain and nonprobabilistic model parameters with the help of affine arithmetic operations. The solutions of linear dynamic problems of structures lead to eigenvalue problems, viz., generalized and standard eigenvalue problems. When there is a deficiency of large data, the material and geometric properties of the said problems may be considered as intervals due to uncertainty. The error explosion ...
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