Kron's method: an algorithm for the Eigenvalue analysis of large-scale structural systems

Abstract

In this report, the Kron eigenvalue procedure is established by the application of Hamilton's principle to a constrained primitive Lagrangian, comprising the characteristics of the various sub-systems into which a composite system is 'torn' to facilitate analysis. The computational merits of the method are outlined -- particularly in relation to a scanning algorithm derived from a procedure developed by Wittrick and Williams.