Use of quadratic components for buckling calculations
Abstract
A buckling calculation procedure based on the method of quadratic components is presented. Recently developed for simulating the motion of rotating flexible structures, the method of quadratic components is shown to be applicable to buckling problems with either conservative or nonconservative loads. For conservative loads, stability follows from the positive definiteness of the system`s stiffness matrix. For nonconservative loads, stability is determined by solving a nonsymmetric eigenvalue problem, which depends on both the stiffness and mass distribution of the system. Buckling calculations presented for a cantilevered beam are shown to compare favorably with classical results. Although the example problem is fairly simple and wellunderstood, the procedure can be used in conjunction with a generalpurpose finite element code for buckling calculations of more complex systems.
 Authors:
 Sandia National Labs., Albuquerque, NM (United States). Structural Dynamics Dept.
 Publication Date:
 Research Org.:
 Sandia National Labs., Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 453521
 Report Number(s):
 SAND962367C; CONF9701463
ON: DE97003679; TRN: AHC29707%%91
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Conference
 Resource Relation:
 Conference: Energy week `97 conference & exhibition, Houston, TX (United States), 2830 Jan 1997; Other Information: PBD: [1996]
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; DEFORMATION; STRUCTURAL BEAMS; CALCULATION METHODS; EIGENVALUES; ELASTICITY
Citation Formats
Dohrmann, C.R., and Segalman, D.J. Use of quadratic components for buckling calculations. United States: N. p., 1996.
Web.
Dohrmann, C.R., & Segalman, D.J. Use of quadratic components for buckling calculations. United States.
Dohrmann, C.R., and Segalman, D.J. 1996.
"Use of quadratic components for buckling calculations". United States.
doi:. https://www.osti.gov/servlets/purl/453521.
@article{osti_453521,
title = {Use of quadratic components for buckling calculations},
author = {Dohrmann, C.R. and Segalman, D.J.},
abstractNote = {A buckling calculation procedure based on the method of quadratic components is presented. Recently developed for simulating the motion of rotating flexible structures, the method of quadratic components is shown to be applicable to buckling problems with either conservative or nonconservative loads. For conservative loads, stability follows from the positive definiteness of the system`s stiffness matrix. For nonconservative loads, stability is determined by solving a nonsymmetric eigenvalue problem, which depends on both the stiffness and mass distribution of the system. Buckling calculations presented for a cantilevered beam are shown to compare favorably with classical results. Although the example problem is fairly simple and wellunderstood, the procedure can be used in conjunction with a generalpurpose finite element code for buckling calculations of more complex systems.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1996,
month =
}

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