[Solid Mechanics and its Applications] Advances in the Mechanics of Plates and Shells Volume 88 || Reduction of the Linear Sanders-Koiter Equations for Fully Anisotropic Non-circular Cylindrical Shells to Two Coupled Fourth-order Equations
✍ Scribed by Durban, D.; Givoli, D.; Simmonds, J. G.
- Book ID
- 120242797
- Publisher
- Kluwer Academic Publishers
- Year
- 2002
- Tongue
- English
- Weight
- 926 KB
- Edition
- 2002
- Category
- Article
- ISBN-13
- 9780792367857
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✦ Synopsis
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.