Error bounds on the eigenvalues of a linearized dynamic stiffness matrix

✍ Scribed by Ye, Jianqiao

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 113 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199804)14:4<305::aid-cnm145>3.0.co;2-4

✦ Synopsis

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 functions of the eigenparameter l. This is achieved by choosing two ®xed values of the eigenparameter and calculating K(l) at these two values. The eigenvalues of A 7 lB provide error bounds on the exact eigenvalues of the non-linear eigenmatrix if the two ®xed values chosen are below the lowest pole of K(l). Choosing two identical ®xed values, the error bounds on the exact eigenvalues provided by traditional linearization techniques are found as special cases.