Free vibration of a linked rod

Hencky bar-chain model for optimal circular arches against buckling

“…Silverman [4] called the discrete beam model as Hencky's "bar chain" and pointed out that it is the physical structural model for the mathematical finite difference method. Since then, the Hencky bar-chain model (HBM) has been called by different names such as discrete model [5], discrete element model [6,7], segmented rod/column [8,9], linked rod [10], discrete link-spring model [1] and microstructured beam model [11][12][13]. More recent developments on HBM were made by Wang and his associates for beams with elastic internal [14] and end restraints [15], resting on Winkler foundation [16], of varying cross-section [17] and under self-weight [18] in buckling and vibration problems.…”