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Titlebook: Dynamics of Flexible Spacecraft; Department of Genera Peter W. Likins,Robert E. Roberson,Jens Wittenburg Book 1971 CISM Udine 1971 Dynamics

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Applications,fferent nature. When it was first developed in 1965 its authors had in mind an application to spacecraft. Some details of the mathematics in this case and a typical result will be shown after this introduction. Another filed for applications is found in the study of mechanisms. One aspect will be de
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María del Carmen Alanís Figueroalysts will differ in their preference for various ways of formulating equations, one man choosing Lagrange’s equations, a second preferring Hamilton’s principle, and a third relying upon a Newton-Euler formulation, these differences are much less fundamental than the initial choice of a mathematical model of the vehicle.
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María del Carmen Alanís Figueroady was rigid, but this is a very special case. The procedure to be followed in developing equations for systems of substructures depends very much on the substructure models. Various approaches will be outlined here without detailed development.
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n at least one point which is a fixed point on either one of the two bodies connected by the respective hinge. This point was called the hinge point. A tree-structure of n bodies has n−1 hinge points. The dynamical formalism to be developed must combine the following advantages:
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-gain gyros) and actuator (gimbaled engine). It is this portion of the vehicle that will be considered the rigid body to which the flexible appendages (RTG, science, and magnetometer booms; antenna) are attached.
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Substructure equations of motion, the interpolation function relating the variational deformation function . of a finite element to the variational deformations at its nodes, and in terms of this relationship providing expressions for the forces and torques applied to the nodal bodies by the adjacent finite elements.
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