A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

Theory and methods of structural reliability are briefly summarized and reviewed, both in
original and standard space. Some extreme examples demonstrate where and why these …

Structural Reliability Analysis and Prediction, Third Edition is a textbook which addresses
the important issue of predicting the safety of structures at the design stage and also the …

A new method for efficient discretization of random fields (ie, their representation in terms of
random variables) is introduced. The efficiency of the discretization is measured by the …

This book addresses random vibration of mechanical and structural systems commonly
encountered in aerospace, mechanical, and civil engineering. Techniques are examined for …

Hermite moment models of nonlinear random vibration are formulated. These models use
response moments (skewness, kurtosis, etc.) to form non-Gaussian contributions, made …

The computational efficiency of random field representations with the Karhunen–Loève (KL)
expansion relies on the solution of a Fredholm integral eigenvalue problem. This …

A method by which sample fields of a multidimensional non-Gaussian homogeneous
stochastic field can be generated is developed. The method first generates Gaussian …

A new approach for evaluation of the extreme value distribution and dynamic reliability
assessment of nonlinear structures with uncertain parameters is proposed. The approach is …

This state of the art paper identifies as the distinguishing feature of stochastic finite element
analysis that it involves the discretization of the parameter space of a random field of …