A. M. Zhukova, G. Yu. Panina, “Equilibrium configurations of a planar polygonal linkage”, Tr. SPIIRAN, 2010, Issue 12,Pages <nobr>226

Equilibrium configurations of a planar polygonal linkage

A. M. Zhukova^a, G. Yu. Panina^b

^a St. Petersburg State University, Department of Mathematics and Mechanics
^b St. Petersburg Institute for Informatics and Automation of RAS

Abstract: Equilibrium shapes of a planar polygonal linkage are cyclic configurations. We present a formula for the Morse index and characterize stable equilibrium configurations.

Keywords: polygonal linkage, equilibrium shape, signed area, Morse index.

UDC: 514.76

Received: 03.12.2010
Accepted: 06.12.2010