Bi-normal coordinates in discrete systems with application to an aircraft shimmy problem /
Lynn C. Rogers · OhioLink ETD Center (Ohio Library and Information Network) · 1972
The use of bi-normal coordinate theory in the analysis of practical discrete systems provides the substantial benefits of conceptual value/physical insight, computational utility, and enhanced redesign capability.These benefits are explained and demonstrated in the present effort with attention to practical considerations.Section 1 extends the theory and presents the new material together with some previously available results in a coordinated manner.In particular, the nature of response in a single homogenous phasor mode is described in detail.Also, an expression for the derivative of an eigenvalue is developed and explained.Section 2 reports the analysis of an aircraft nosegear shimmy problem using bi-normal coordinate methods.Stability boundaries, mode shapes, and sensitivities to parameter changes are presented.Derivatives of eigenvalues are used in Section 3 to illustrate automated minimum weight design for a shimmy-free nosegear.Recommendations for further research are made.ACKNOWLEDGEMENT Achievement requires support.I humbly