Abstract
The paper presents a method of analysing the impact of basic variables on parameters characterizing the state of prestressed structures in transient and persistent design situation based on computer simulations and DOE (Design Of Experiments) data collection technique. The approach enables us to identify the key variables and to finde the limits of compromise area in which the state of structures are considered to be acceptably safe. Desing basis, procedures and results of the DOE technique use were presented on the example of a post-tensioned beam designed in accordance with the requirements of Eurocode 2. The study comprised the "what-if" analysis of the variation of total load, the losses of prestressing force in individual cables and the design depth of the beam section considering their influence on the ultimate load-bearing capacity and maximum deflection of the beam. The results obtained in the form of sensitivity and trade-off charts allow for the determination of the order and range of influence of the variables in the analysis, and the areas of unfavourable interactions of the studied variables on parameters characterizing safety of the structure.
Highlights
The design of structural elements and structures is a process of deliberate or intuitive optimal modelling, and its aim is to fulfil the assumed requirements to the extent possible
It is possible to designate by the use of Monte-Carlo simulation method an approximate response surface of the structure for the adopted plan of virtual experiment and obtain trade-off charts showing the correctness of solutions obtained in the adopted design space
The paper presents a brief description of a method of analysing the effect of changes in the values and uncertainties of considered design variables on the characteristics of the structure's state based on the "whatif" parametric sensitivity analysis and trade-off charts, by using simulation data collection techniques (DOE Design Of Experiments) for the construction of the structure's response surface
Summary
The design of structural elements and structures is a process of deliberate or intuitive optimal modelling, and its aim is to fulfil the assumed requirements to the extent possible. The examples of application of these methods in engineering practice sometimes raise objections This is due to both the approximate nature of the solutions obtained, and the uncertainty associated with the selection and specification of criteria, parameters, variables, optimization and limitations on the range of their variations and correlation omission. The paper presents a brief description of a method of analysing the effect of changes in the values and uncertainties of considered design variables on the characteristics of the structure's state based on the "whatif" parametric sensitivity analysis and trade-off charts, by using simulation data collection techniques (DOE Design Of Experiments) for the construction of the structure's response surface. There was indicated the possibility of using this technique for estimating the correlation matrix between design variables and the structure characteristics, that is, between inputs and outputs of the analysed system. Covariance matrix, sensitivity and trade-off charts allow for the determination of the order and range of influence of the analysis variables on parameters characterizing the safety of structure and the areas of unfavourable interactions of the studied variables
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