Nonlinear Reduced Order Random Response Analysis of Structures with Shallow Curvature

Abstract

The goal of this investigation is to further develop nonlinear modal numerical simulation methods for application to geometrically nonlinear response of structures with shallow curvature under random loadings. For reduced order analysis, the modal basis selection must be capable of reflecting the coupling in both the linear and nonlinear stiffness.

Response of skin panels to combined self- and boundary layer-induced fluctuating pressure

“…Historically, the structural behavior to these different sources has been considered separately. In the first class of problems, the quasi-static panel response (Kontinos, 1997;Culler et al, 2009), and dynamic instabilities (McNamara et al, 2005;Mei et al, 1999;Culler et al, 2009) has been studied by modeling the boundary layer loads and other external acoustic excitations: (1) as a random in time, and uniform in space acoustic load (Przekop and Rizzi, 2006;Spottswood et al, 2010), (2) using semi-empirical models (Maestrello, 1969;Hwang et al, 2009;Hambric et al, 2004;Coe and Chyu, 1972;Wu and Maestrello, 1995), and (3) using high-fidelity Computational Fluid Dynamics (CFD) simulations (Frendi, 1997(Frendi, , 2004. There are limitations of each of these approaches.…”

A reduced order method for predicting high cycle fatigue of nonlinear structures

“…Consideration of non-planar configurations is the subject of Ref. [21]. For such structures, where an inherent transverse and in-plane coupling exists, the set of eigenvectors containing both transverse and in-plane components appear to be a set of primary choice.…”

A Comparative Analysis of the Response-Tracking Techniques in Aerospace Dynamic Systems Using Modal Participation Factors

“…where i is the mode number. γ ni , indicating the modal contribution, can be mathematically defined, from Equation (4), as follows [51][52][53][54]:…”