EAN: 9781461266891

MODELING ANALYSIS AND CONTROL OF DYNAMIC ELASTI...

The purpose of this monograph is threefold. First  mathematical models of the transient
behavior of some or all of the state variables describing the motion of multiple-link flexible
structures will be developed. The structures which we have in mind consist of finitely many
interconnected flexible ele ments such as strings  beams  plates and shells or combinations
thereof and are representative of trusses  frames  robot arms  solar panels  antennae 
deformable mirrors  etc.   currently in use. For example  a typical subsys tem found in almost
all aircraft and space vehicles consists of beam  plate and or shell elements attached to each
other in a rigid or flexible manner. Due to limitations on their weights  the elements
themselves must be highly flexible  and due to limitations on their initial configuration (i.
e.   before de ployment)  those aggregates often have to contain several links so that the
substructure may be unfolded or telescoped once it is deployed. The point of view we wish to
adopt is that in order to understand completely the dynamic response of a complex elastic
structure it is not sufficient to con to take into account the sider only its global motion but
also necessary flexibility of individual elements and the interaction and transmission of
elastic effects such as bending  torsion and axial deformations at junctions where members are
connected to each other. The second object of this book is to provide rigorous mathematical
analyses of the resulting models.

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