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Dynamic Stability - Cornell University

Chapter 5 Dynamic StabilityThese notes provide a brief background for the response of linear systems, with applica-tion to the equations of motion for a flight vehicle. The description is meant to providethe basic background in linear algebra for understanding modern tools for analyzing theresponse of linear systems, and provide examples of their application to flight vehicledynamics. Examples for both longitudinal and lateral/directional motions are provided,and simple, lower-order approximations to the various modes are used to elucidate theroles of relevant aerodynamic properties of the Mathematical An Introductory ExampleThe most interesting aircraft motions consist of oscillatory modes, the basic features of which canbe understood by considering the simple system, sketched inFig. , consisting of a spring, mass,and (t)kcxFigure : Schematic of spring-mass-damper 5.

relevant to the question of stability – i.e., the response to an infinitesimal perturbation from an equilibrium state of the system, while the forced response is relevant to control response. The free response is the solution to the homogeneous equation, which can be …

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