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A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Standard

A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. / Ye, Jianqiao; Williams, F. W. .
In: International Journal for Numerical Methods in Engineering, Vol. 38, No. 6, 30.03.1995, p. 1057-1067.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Ye, J & Williams, FW 1995, 'A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations', International Journal for Numerical Methods in Engineering, vol. 38, no. 6, pp. 1057-1067. https://doi.org/10.1002/nme.1620380612

APA

Ye, J., & Williams, F. W. (1995). A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. International Journal for Numerical Methods in Engineering, 38(6), 1057-1067. https://doi.org/10.1002/nme.1620380612

Vancouver

Ye J, Williams FW. A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. International Journal for Numerical Methods in Engineering. 1995 Mar 30;38(6):1057-1067. doi: 10.1002/nme.1620380612

Author

Ye, Jianqiao ; Williams, F. W. . / A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. In: International Journal for Numerical Methods in Engineering. 1995 ; Vol. 38, No. 6. pp. 1057-1067.

Bibtex

@article{1933c893c65849fba30e2322a87879d6,
title = "A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations",
abstract = "An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.",
keywords = "bounding exact, transcendental eigenproblems",
author = "Jianqiao Ye and Williams, {F. W.}",
year = "1995",
month = mar,
day = "30",
doi = "10.1002/nme.1620380612",
language = "English",
volume = "38",
pages = "1057--1067",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations

AU - Ye, Jianqiao

AU - Williams, F. W.

PY - 1995/3/30

Y1 - 1995/3/30

N2 - An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.

AB - An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.

KW - bounding exact

KW - transcendental eigenproblems

U2 - 10.1002/nme.1620380612

DO - 10.1002/nme.1620380612

M3 - Journal article

VL - 38

SP - 1057

EP - 1067

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 6

ER -