Chaotic Belt Phenomena in Nonlinear Elastic Beam

1999 ◽  
pp. 125-132
Author(s):  
Z NIANMEI ◽  
Y GUITONG ◽  
X BINGYE
Keyword(s):  
Elastic Beam ◽  
Nonlinear Elastic

scholarly journals Positive solutions for nonlinear elastic beam models

2001 ◽  
Vol 27 (6) ◽  
pp. 365-375 ◽  
Author(s):  
Bendong Lou
Keyword(s):  
Positive Solutions ◽  
Elastic Beam ◽  
Negative Answer ◽  
Existence Of Positive Solutions ◽  
Nonlinear Elastic ◽  
Positive Results

We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.

Chaotic belt phenomena in nonlinear elastic beam

2003 ◽  
Vol 24 (5) ◽  
pp. 509-513 ◽  
Author(s):  
Zhang Nian-mei ◽  
Yang Gui-tong
Keyword(s):  
Elastic Beam ◽  
Nonlinear Elastic

Solution of contact problems for Gao beam and elastic foundation

2017 ◽  
Vol 23 (3) ◽  
pp. 473-488 ◽  
Author(s):  
Jitka Machalová ◽  
Horymír Netuka
Keyword(s):  
Contact Problem ◽  
Elastic Foundation ◽  
Variational Equation ◽  
Main Idea ◽  
Axial Loading ◽  
Elastic Beam ◽  
Beam Theory ◽  
Contact Problems ◽  
Problem Formulations ◽  
Nonlinear Elastic

This paper presents mathematical formulations and a solution for contact problems that concern the nonlinear beam published by Gao (Nonlinear elastic beam theory with application in contact problems and variational approaches, Mech Res Commun 1996; 23: 11–17) and an elastic foundation. The beam is subjected to a vertical and also axial loading. The elastic deformable foundation is considered at a distance under the beam. The contact is modeled as static, frictionless and using the normal compliance contact condition. In comparison with the usual contact problem formulations, which are based on variational inequalities, we are able to derive for our problem a nonlinear variational equation. Solution of this problem is realized by means of the so-called control variational method. The main idea of this method is to transform the given contact problem to an optimal control problem, which can provide the requested solution. Finally, some results including numerical examples are offered to illustrate the usefulness of the presented solution method.

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