Stability analysis of a bar with multi-segments of varying cross-section

Qiusheng Li; Hong Cao; Guiqing Li

doi:10.1016/0045-7949(94)90154-6

Stability analysis of a bar with multi-segments of varying cross-section

Qiusheng Li, Hong Cao, Guiqing Li

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

38 Citations (Scopus)

Abstract

The exact solutions for the stability analysis of a one-step bar of varying cross-section subjected to concentrated and distributed axial loads are found first. Then the exact solution of that bar is used to derive the eigenvalue equation of a multi-step bar of varying cross-section subjected to more complicated loads by using transition matrices. All of the exact solutions are expressed in terms of Bessel's functions and super-geometric series. © 1994.

Original language	English
Pages (from-to)	1085-1089
Journal	Computers and Structures
Volume	53
Issue number	5
DOIs	https://doi.org/10.1016/0045-7949(94)90154-6
Publication status	Published - 3 Dec 1994
Externally published	Yes

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abstract = "The exact solutions for the stability analysis of a one-step bar of varying cross-section subjected to concentrated and distributed axial loads are found first. Then the exact solution of that bar is used to derive the eigenvalue equation of a multi-step bar of varying cross-section subjected to more complicated loads by using transition matrices. All of the exact solutions are expressed in terms of Bessel's functions and super-geometric series. {\textcopyright} 1994.",

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AU - Cao, Hong

AU - Li, Guiqing

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N2 - The exact solutions for the stability analysis of a one-step bar of varying cross-section subjected to concentrated and distributed axial loads are found first. Then the exact solution of that bar is used to derive the eigenvalue equation of a multi-step bar of varying cross-section subjected to more complicated loads by using transition matrices. All of the exact solutions are expressed in terms of Bessel's functions and super-geometric series. © 1994.

AB - The exact solutions for the stability analysis of a one-step bar of varying cross-section subjected to concentrated and distributed axial loads are found first. Then the exact solution of that bar is used to derive the eigenvalue equation of a multi-step bar of varying cross-section subjected to more complicated loads by using transition matrices. All of the exact solutions are expressed in terms of Bessel's functions and super-geometric series. © 1994.

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U2 - 10.1016/0045-7949(94)90154-6

DO - 10.1016/0045-7949(94)90154-6

M3 - RGC 21 - Publication in refereed journal

SN - 0045-7949

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SP - 1085

EP - 1089

JO - Computers and Structures

JF - Computers and Structures

IS - 5

ER -

Stability analysis of a bar with multi-segments of varying cross-section

Abstract

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