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A Study of the Bounds on Eigenvalues of a Transcendental Dynamic Stiffness Matrix Provided by a Simply Derived Linear Matrix Pencil

โœ Scribed by Hopper, C.T.; Simpson, A.; Williams, F.W.

Book ID
118177905
Publisher
Informa UK (Taylor & Francis)
Year
1980
Tongue
English
Weight
882 KB
Volume
8
Category
Article
ISSN
0360-1218

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๐Ÿ“œ SIMILAR VOLUMES

Bounding properties for eigenvalues of a
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An approximate representation of a transcendental dynamic stiffness matrix K(r) by a simple quadratic matrix pencil A -rBr 2 C is studied in this paper. The matrix pencil is formed by expressing the elements of K as parabolic functions based on choosing three fixed values of the eigenparameter r. Ge

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In connection with previously published work, this paper presents further results about the bounding properties of eigenvalues provided by a linear eigenmatrix formulation A 7 lB. The linear eigenmatrix is formed by expressing the elements of a non-linear dynamic stiness matrix, K(l), as linear func