Large deflections of a beam subject to three-point bending

被引：35

作者：

Batista, Milan ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Maritime Studies & Transport, Portoroz 6320, Slovenia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2015年 / 69卷

关键词：

Elasticity; Cantilever; Large deflections; Three-point bending test;

D O I：

10.1016/j.ijnonlinmec.2014.11.024

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

in this paper, a solution for the equilibrium configuration of an elastic beam subject to three-point bending is given in terms of Jacobi elliptical functions. General equations are derived, and the domain of the solution is established. Several examples that illustrate a use of the solution are discussed. The obtained numerical results are compared with the results of other authors. An approximation formula by which the beam load is given as a polynomial function of beam deflection is also derived. The range of applicability of the approximation is illustrated by numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：84 / 92

页数：9

共 14 条

[1]

Ahlfors L, Complex Analysis

[2] The method of three-point bending in testing thin high-strength reinforced plastics at large deflections [J].