Abstract
In this paper a design method for the optimal strengthening of trusses is presented. Trusses with given configuration composed of linearly elastic-perfectly plastic material are considered and it is assumed that because of the increase or change of the loads their strength and/or stiffness is not satisfactory. The problem is to strengthen the truss by the application of additional elastoplastic bars and/or supports, such that the truss be strong enough to carry the loads, does not undertake excessive plastic deformations, and the cost of the strengthened truss be a minimum. For the solution of the highly nonlinear problem an iterative method is presented. Besides the constraints on overall plastic deformations, the stability effects are also taken into consideration during iteration. The application is illustrated by the solution of numerical examples.
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References
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Kaliszky, S., Lógó, J. Optimal strengthening of elasto-plastic trusses with plastic deformation and stability constraints. Structural Optimization 18, 296–299 (1999). https://doi.org/10.1007/BF01223313
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DOI: https://doi.org/10.1007/BF01223313