A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Analytical expressions of sensitivities for shape variables in linear bending systems
Sensitivity analysis is a very interesting field in structural engineering because of its variety of uses. But the computational effort to obtain the analytical values of such sensitivities is a tough task that has been generally avoided when considering flexural systems. Instead some numerical approaches have been used to solve the problem. However, carrying out the sensitivity analysis by this method leads to considerable errors, especially with shape variables as many authors have pointed out. In this paper analytical expressions of sensitivities analysis with respect to shape variables are carried out for bending systems in linear theory. The development presented in this paper starts evaluating the sensitivity analysis of the nodal movements performing the loading vector and stiffness matrix sensitivity analysis. Then this research evaluates the sensitivity analysis of the maximum normal stresses. Finally, some structural examples where the previous analytical sensitivities are evaluated are exposed relating the results versus the corresponding results obtained by finite difference methods and some conclusions are drawn from the work presented.
Analytical expressions of sensitivities for shape variables in linear bending systems
Sensitivity analysis is a very interesting field in structural engineering because of its variety of uses. But the computational effort to obtain the analytical values of such sensitivities is a tough task that has been generally avoided when considering flexural systems. Instead some numerical approaches have been used to solve the problem. However, carrying out the sensitivity analysis by this method leads to considerable errors, especially with shape variables as many authors have pointed out. In this paper analytical expressions of sensitivities analysis with respect to shape variables are carried out for bending systems in linear theory. The development presented in this paper starts evaluating the sensitivity analysis of the nodal movements performing the loading vector and stiffness matrix sensitivity analysis. Then this research evaluates the sensitivity analysis of the maximum normal stresses. Finally, some structural examples where the previous analytical sensitivities are evaluated are exposed relating the results versus the corresponding results obtained by finite difference methods and some conclusions are drawn from the work presented.
Analytical expressions of sensitivities for shape variables in linear bending systems
Perezzan, J.C. (author) / Hernandez, S. (author)
Advances in Engineering Software ; 34 ; 271-278
2003
8 Seiten, 17 Quellen
Article (Journal)
English
Analytical Shape and Thickness Sensitivities of Linear Shells
| SAGE Publications | 2007
Analytical Shape and Thickness Sensitivities of Linear Shells
| Online Contents | 2007
Analytical Sensitivities for the Coupled Morphology Optimization of Linear Shells
| British Library Conference Proceedings | 2004
Shape Optimization of Internal Flow Devices via Semi-Analytical Design Sensitivities
| British Library Conference Proceedings | 1995