A. A. Ardentov, Yu. L. Sachkov, Solution to Euler’s elastic problem

Title: Solution to Euler’s elastic problem
Authors: A. Ardentov, Yu. L. Sachkov
Journal title: Automation and Remote Control
Year: 2009
Issue: 4
Volume: 70
Pages: 633-643
Citation:

A. A. Ardentov, Yu. L. Sachkov, Solution of Euler’s elastic problem. Automation and Remote Control, Vol. 70, No. 4, pp. 633-643

Abstract:

Euler's problem on stationary configurations of elastic rod with fixed endpoints and 
tangents at the endpoints is considered. The corresponding optimal control problem is 
reduced to several systems of algebraic equations in Jacobi's functions. An algorithm and 
software for solving the optimal control problem are constructed.

File: Download