Error bounds on the eigenvalues of a linearized dynamic stiffness matrix

Ye, J Q (1998) Error bounds on the eigenvalues of a linearized dynamic stiffness matrix. Communications in Numerical Methods in Engineering, 14 (4). pp. 305-312. ISSN 1069-8299

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Abstract

In connection with previously published work, this paper presents further results about the bounding properties of eigenvalues provided by a linear eigenmatrix formulation A - lambda B. The linear eigenmatrix is formed by expressing the elements of a non-linear dynamic stiffness matrix, K(lambda), as linear functions of the eigenparameter lambda. This is achieved by choosing two fixed values of the eigenparameter and calculating K(lambda) at these two values. The eigenvalues of A - lambda B provide error bounds on the exact eigenvalues of the non-linear eigenmatrix if the two fixed values chosen are below the lowest pole of K(lambda). Choosing two identical fixed values, the error bounds on the exact eigenvalues provided by traditional linearization techniques are found as special cases. (C) 1998 John Wiley & Sons, Ltd.

Item Type:
Journal Article
Journal or Publication Title:
Communications in Numerical Methods in Engineering
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/ta
Subjects:
?? ERROR BOUNDNON-LINEAR EIGENVALUELINEARIZATIONDYNAMIC STIFFNESS MATRIXMATRIX PENCILENGINEERINGMODELLING AND SIMULATIONCOMPUTATIONAL THEORY AND MATHEMATICSSOFTWAREAPPLIED MATHEMATICSENGINEERING(ALL)TA ENGINEERING (GENERAL). CIVIL ENGINEERING (GENERAL) ??
ID Code:
54258
Deposited By:
Deposited On:
17 May 2012 11:57
Refereed?:
Yes
Published?:
Published
Last Modified:
17 Sep 2023 01:04