This paper presents the theory and application of the generalized polynomial chaos
expansion for the stochastic free vibration of orthotropic plates. Specifically, the stochastic …

This work presents a study of the oscillations of a vertical slender beam, clamped in its upper
extreme, pinned in its lower one and constrained inside an outer cylinder in its lower portion …

In this paper, the application of generalized polynomial chaos expansion in stochastic
structural modal analysis including uncertain parameters is investigated. We review the …

The complex and diverse structural forms make it impossible to define universal shape
coefficients for large-span roof structures, which usually need to be obtained by wind tunnel …

The Karhunen–Loève (KL) decomposition establishes that a 2D random field can be
expanded as a series involving a sequence of deterministic orthogonal functions with …

The aim of this paper is to propose a new way to measure the efficiency of the proper
orthogonal decomposition (POD) to construct a reduced-order model in Structural Dynamics …

Rotating shaft instability leading to high amplitude vibration is a key problem with a wide
range of industrial applications. The purpose of this study is to identify the response statistics …

This paper deals with the application of smooth Karhunen–Loève decomposition (SKLD)
procedure applied to random fields. The SKLD is obtained by solving a generalized …

The aim of this paper is to present the basic theory and preliminary applications of a newly
developed formulation for the modal analysis of two-dimensional vibrating structures. This is …

This paper considers optimal parameters for modal dampingin mechanical systems
described by the equation Mx¨+ Dx˙+ Kx= 0, where matrices M and K are mass and stiffness …