Stability design for three-dimensional dynamic function.

Three Dimensional Stability Analysis of a Liquid Propellant Combustor

A theoretical study analyzing three-dimensional combustion acoustic instabilities in a liquid propellant rocket engine combustor has been conducted. A linear theory based on Crocco’s pressure sensitive time lag model is used. To apply this theory the combustor is divided into two main components, including the combustion chamber and the converging part of the nozzle. The assumption of concentra...

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures

Three-Dimensional Interfacial Green’s Function for Exponentially Graded Transversely Isotropic Bi-Materials

By virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic Green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. Three-dimensional point-load Green’s functions for stresses and displacements were given in line-integral representations. The formulation included a complete set of transformed stress-p...

STABILITY THEORY FOR THREE - DIMENSIONAL WAKETRANSITIONDwight

A nonlinear stability theory is presented for three-dimensional transition in the wake of a circular cylinder up to Reynolds number 300. The primary input to the theory is the linear and the nonlinear stability results of Barkley and Hen-derson. Based on symmetric bifurcation theory, normal form equations are proposed to describe (to lowest order) the nonlin-ear interaction of three-dimensional...