Stability of clamped-elastically supported elastic beam subject to axial compression

被引：4

作者：

Batista, Milan ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Maritime Studies & Transport, Ljubljana, Slovenia

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2019年 / 155卷

关键词：

Elastic beams; Large deformations; Stability; Jacobi test; SECONDARY BIFURCATION; ROD; CANTILEVER;

D O I：

10.1016/j.ijmecsci.2019.02.030

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In the paper, we study large deflections and the stability of an elastic beam, with one end clamped and the other elastically supported, which is subject to a conservative compressing end force. The basic equilibrium equation is derived from the principle of minimum total potential energy, and its solution is given in terms of Jacobian elliptic functions. The stability is determinate according to the Jacobi test. The post-buckled behavior of the beam is discussed in detail. Results are presented in both tabular and graphical form.

引用

页码：1 / 8

页数：8

共 29 条

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[2]

[Anonymous], 1961, Theory of Elastic Stability

[3]

Antman SS., 2005, Nonlinear problems of elasticity

[4]

Batista M, 2018, ARXIV180610469CSMS