| Advances in the Mechanics of Plates and Shells: The Avinoam Libai Anniversary Volume 2002 Edition Contributor(s): Durban, D. (Editor), Givoli, Dan (Editor), Simmonds, J. G. (Editor) |
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ISBN: 1402003803 ISBN-13: 9781402003806 Publisher: Springer OUR PRICE: $94.05 Product Type: Paperback - Other Formats Published: November 2001 |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Civil - General - Science | Mechanics - Solids - Technology & Engineering | Automotive |
| Dewey: 624.177 |
| Series: Solid Mechanics and Its Applications |
| Physical Information: 0.78" H x 6.14" W x 9.21" (1.16 lbs) 361 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |