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Structural Engineering and Mechanics Volume 59, Number 6, September25 2016 , pages 973-992 DOI: https://doi.org/10.12989/sem.2016.59.6.973 |
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Displacement and force control of complex element structures by Matrix Condensation |
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Najmadeen M. Saeed and Alan S.K. Kwan
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| Abstract | ||
| A direct and relatively simple method for controlling nodal displacements and/or internal bar forces has been developed for prestressable structural assemblies including complex elements (\"macroelements\", e.g., the pantographic element), involving Matrix Condensation, in which structural matrices being built up from matrices of elementary elements. The method is aimed at static shape control of geometrically sensitive structures. The paper discusses identification of the most effective bars for actuation, without incurring violation in bar forces, and also with objective of minimal number of actuators or minimum actuation. The advantages of the method is that the changes for both force and displacement regimes are within a single formulation. The method can also be used for adjustment of bar forces to either reduce instances of high forces or increase low forces (e.g., in a cable nearing slack). | ||
| Key Words | ||
| force method; matrix condensation; static shape control; displacement control; bar force control; actuator placement; actuation | ||
| Address | ||
| Najmadeen M. Saeed : Civil Engineering Department, University of Raparin, Rania, Kurdistan Region, Iraq Alan S.K. Kwan : Cardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, U.K. | ||