Numerical design methods with polymorphic uncertainty modelling

随着所提出的研究项目，在结构的数值设计中引入了范式转换。当前的状态是以决定论思维和实践为特征的。用确定性模型来表示现实意味着准确性和精确性。事实上，所有可用的数据都具有不确定性、不完整性和不准确性（多态不确定性）的特点，这些都必须适当地考虑，不能忽视。在研究项目中，开发了结构设计的创新方法和实践，将设计的所有阶段的数据的不确定性考虑在内，并通过数值模型进行处理，以获得新的设计质量。需要开发面向工程的工具，用于静态和/或动态载荷下结构的数值设计，从而考虑多态数据的不确定性。应用的数值模拟沿着而来的是高成本。如果数据的不确定性得到一致和正确的考虑，这种数值工作将呈指数级增长。除了使用适当的不确定性模型外，还需要捕获空间和时间依赖性。基于（相对较少的）现实的，确定性的，非线性的，数值模拟，元模型的近似相关的结果变量和敏感性分析必须开发。多态不确定性建模的结构数值设计的应用潜力是非常大的，并不局限于土木工程。

With the proposed research project, a paradigm shift is introduced in the numerical design of structures. The current state is characterized by deterministic thinking and practice. The representation of reality with deterministic models suggests accuracy and precision. Reality is the fact that all available data are characterized by uncertainty, incompleteness and inaccuracy (polymorphic uncertainty) which have to be taken into account appropriately and cannot be neglected.In the research project, innovative approaches and practices for structural design are developed that take the uncertainty of the data in all phases of design into account and to process it by numerical models to gain a new design quality. Engineering-oriented tools for the numerical design of structures under static and/or dynamic loads with consequent consideration of polymorphic data uncertainty need to be developed.The applied numerical simulations come along with high costs. This numerical effort increases exponentially, if the uncertainty of data is taken into account consistently and correctly. In addition to the use of appropriate uncertainty models, capturing the spatial and time dependency is required. On the basis of (relatively few) realistic, deterministic, nonlinear, numerical simulations, metamodels for the approximation of relevant result variables and sensitivity analysis have to be developed. The application potential for a numerical design of structures with polymorphic uncertainty modeling is very large and not limited to the Civil Engineering.