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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Advances in the Mechanics of Plates and Shells: The Avinoam Libai Anniversary Volume

Advances in the Mechanics of Plates and Shells: The Avinoam Libai Anniversary Volume

Durban, D.
Givoli, Dan
Simmonds, J. G.

Paperback

Series: Solid Mechanics and Its Applications, Book 88

Technology & EngineeringPhysics

ISBN10: 1402003803
ISBN13: 9781402003806
Publisher: Springer Nature
Published: Nov 30 2001
Pages: 361
Weight: 1.16
Height: 0.78 Width: 6.14 Depth: 9.21
Language: English
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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