Developments in Stochastic Structural Mechanics
نویسنده
چکیده
Uncertainties are a central element in structural analysis and design. But even today they are frequently dealt with in an intuitive or qualitative way only. However, as already suggested 80 years ago, these uncertainties may be quantified by statistical and stochastic procedures. In this contribution it is attempted to shed light on some of the recent advances in the now established field of stochastic structural mechanics and also solicit ideas on possible future developments.
منابع مشابه
Chair of Engineering Mechanics Ifm-publication 2-305 Recent Software Developments for Structural Reliability Assessment
The fast development of computational facilities and new computational methodologies allows the efficient implementation of stochastic structural analysis. Thus, a quantification of the results of structural analyses in terms of probabilities is possible. The fast development of computational facilities (hardware) and new computational methodologies (software) open the door for efficient numeri...
متن کاملStochastic Optimal Control of Structural Systems
The stochastic optimal control is an important research subject in structural engineering. Recently, a stochastic optimal nonlinear control method has been proposed based on the stochastic dynamical programming principle and stochastic averaging method. The active and semi-active stochastic optimal control methods have been further developed for structural systems. The control saturation or bou...
متن کاملComputational Mechanics of Input-Output Processes: Structured transformations and the $\epsilon$-transducer
Computational mechanics quantifies structure in a stochastic process via its causal states, leading to the process’s minimal, optimal predictor—the -machine. We extend computational mechanics to communication channels coupling two processes, obtaining an analogous optimal model—the -transducer—of the stochastic mapping between them. Here, we lay the foundation of a structural analysis of commun...
متن کاملTopology Optimization of the Thickness Profile of Bimorph Piezoelectric Energy Harvesting Devices
Due to developments in additive manufacturing, the production of piezoelectric materials with complex geometries is becoming viable and enabling the manufacturing of thicker harvesters. Therefore, in this study a piezoelectric harvesting device is modelled as a bimorph cantilever beam with a series connection and an intermediate metallic substrate using the plain strain hypothesis. On the other...
متن کاملDevelopments and new applications of numerical stochastic perturbation theory
A review of new developments in numerical stochastic perturbation theory (NSPT) is presented. In particular, the status of the extension of the method to gauge fixed lattice QCD is reviewed and a first application to compact (scalar) QED is presented. Lacking still a general proof of the convergence of the underlying stochastic processes, a self-consistent method for testing the results is disc...
متن کامل