Optimal Design of Dynamically Loaded Rigid-Plastic Structures. Application: Thick-Walled Concrete Tube

Heinloo, M.; Kaliszky, S.

doi:10.1080/03601218108907386

Cited by 6 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A few papers proposed analytical and numerical methods to the optimal design of beams and plates subjected to dynamic pressure e.g. [18][19][20][21]. Following the theoretical and analytical investigations more and more numerical methods and very accurate computer programs have been developed which can be used for a complete time history analysis of any kind of dynamically loaded elasto-plastic structures taking effects of viscosity and large deformation into consideration.…”

Section: Introductionmentioning

confidence: 99%

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

Błachowski

Tauzowski

Lógó

2017

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

Błachowski

Tauzowski

Lógó

2017

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

show abstract

Optimal design of dynamically loaded reinforced concrete frames under displacement and rotation constraints

Kaliszky

Lógó

1991

Structural Optimization

Self Cite

View full text Add to dashboard Cite

Abstract. The paper deals with reinforced concrete beams and frames subjected to short-time, high intensity dynamic pressure. The shape and geometry of the structure and the layout of the longitudinal reinforcement are given and the areas of reinforcement are design variables.The determination of the plastic displacements and deformations caused by pressure is based on the plastic hinge theory and on the assumption that during the dynamic response the structure undergoes stationary displacements. The problem is to minimize the total amount of reinforcement such that the plastic displacements do not exceed the allowable displacements prescribed at certain points of the structure, or alternatively, that the plastic rotations in the plastic hinges do not reach the limits at which brittle failure occurs. A variational formulation of the problem is presented and the solution is based on the optimality criteria approach which requires an iterative procedure. A few examples illustrate the application of the method. I n t r o d u c t i o nThere are several engineering problems where in the design of a structure abnormal loading conditions such as explosion, impact, earthquakes etc. must be taken into consideration. In these extreme cases the structure is usually allowed to undergo plastic deformations, but must be strong enough to carry the load without excessive plastic deformations, local failure or collapse. In the following, reinforced concrete beams and frames subjected to short-time, high intensity dynamic pressure will be considered. The shape and geometry of the structure and the layout of the longitudinal reinforcement are assumed to be given while the areas of the reinforcement are considered as design variables. The problem is to find the minimum of the total amount of longitudinal reinforcement subject to displacement or rotation constraints.The permanent plastic displacements and deformations of the structure caused by the dynamic pressure can be determined by the use of kinematic approximation (Kaliszky 1970(Kaliszky , 1985. This approximation is based on the plastic hinge theory and on the assumption that during the dynamic response the structure undergoes only stationary displacements. This leads to closed form solutions for the plastic displacements and rotations.In our studies two different types of constraints will be considered. The first type of constraint is that, at given points of the structure, the plastic displacements do not exceed the allowable displacements determined by some structural or technological considerations. Since reinforced concrete structures have limited ductility behaviour, rotation constraints can also be specified as a second type of constraints. These can be formulated so that the relative plastic rotations in the plastic hinges do not exceed the plastic rotational capacities at which brittle failure occurs.The relationship between the area of longitudinal reinforcement and the fully plastic moments of cross-sections will be approximated by a quadratic expression. This allow...

show abstract

References

1988

Optimization in Mechanics - Problems and Methods

View full text Add to dashboard Cite

Optimal Design of Dynamically Loaded Rigid-Plastic Structures. Application: Thick-Walled Concrete Tube

Cited by 6 publications

References 10 publications

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

Optimal design of dynamically loaded reinforced concrete frames under displacement and rotation constraints

References

Contact Info

Product

Resources

About