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A General Purpose Approach To Computer Aided Dynamic Analysis Of A Flexible Helicopter
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722001964 Total Pages :26 pages Book Rating :4.0/5 (19 download)
Book Synopsis A General-Purpose Approach to Computer-Aided Dynamic Analysis of a Flexible Helicopter by : National Aeronautics and Space Administration (NASA)
Download or read book A General-Purpose Approach to Computer-Aided Dynamic Analysis of a Flexible Helicopter written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-27 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general purpose mathematical formulation is described for dynamic analysis of a helicopter consisting of flexible and/or rigid bodies that undergo large translations and rotations. Rigid body and elastic sets of generalized coordinates are used. The rigid body coordinates define the location and the orientation of a body coordinate frame (global frame) with respect to an inertial frame. The elastic coordinates are introduced using a finite element approach in order to model flexible components. The compatibility conditions between two adjacent elements in a flexible body are imposed using a Boolean matrix, whereas the compatibility conditions between two adjacent bodies are imposed using the Lagrange multiplier approach. Since the form of the constraint equations depends upon the type of kinematic joint and involves only the generalized coordinates of the two participating elements, then a library of constraint elements can be developed to impose the kinematic constraint in an automated fashion. For the body constraints, the Lagrange multipliers yield the reaction forces and torques of the bodies at the joints. The virtual work approach is used to derive the equations of motion, which are a system of differential and algebraic equations that are highly nonlinear. The formulation presented is general and is compared with hard-wired formulations commonly used in helicopter analysis. Agrawal, Om P. Ames Research Center RTOP 992-21-01...
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