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Advances in the Mechanics of Plates and Shells - The Avinoam Libai Anniversary Volume (Paperback, Anniversary edition)
Loot Price: R2,614
Discovery Miles 26 140
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Advances in the Mechanics of Plates and Shells - The Avinoam Libai Anniversary Volume (Paperback, Anniversary edition)
Series: Solid Mechanics and Its Applications, 88
Expected to ship within 10 - 15 working days
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The optimal control of flexible structures is an active area of
research. The main body of work in this area is concerned with the
control of time-dependent displacements and stresses, and assumes
linear elastic conditions, namely linear elastic material behavior
and small defor- tion. See, e. g. , [1]-[3], the collections of
papers [4, 5], and references therein. On the other hand, in the
present paper we consider the static optimal control of a structure
made of a nonlinear elastic material and und- going large
deformation. An important application is the suppression of static
or quasi-static elastic deformation in flexible space structures
such as parts of satellites by the use of control loads [6]. Solar
rad- tion and radiation from other sources induce a temperature
field in the structure, which in turn generates an elastic
displacement field. The displacements must usually satisfy certain
limitations dictated by the allowed working conditions of various
orientation-sensitive instruments and antennas in the space
vehicle. For example, a parabolic reflector may cease to be
effective when undergoing large deflection. The elastic deformation
can be reduced by use of control loads, which may be imp- mented
via mechanically-based actuators or more modern piezoelectric
devices. When the structure under consideration is made of a rubb-
like material and is undergoing large deformation, nonlinear
material and geometric effects must be taken into account in the
analysis.
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