Numerical studies of dynamic stability under small random parametric excitations
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2010, Vol 17, Issue 2
Abstract
An efficient numerical procedure is proposed to obtain mean-square stability regions for both single-degree-of-freedom and two-degree-of-freedom linear systems under parametric bounded noise excitation. This procedure reduces the stability problem to a matrix eigenvalue problem. Using this approach, ranges of applicability to the well-known stochastic averaging method are discussed. Numerical results show that the small parameter size in the stochastic averaging method can have a significant effect on the stability regions. The influence of noise on the shape of simple and combination parametric resonances is studied.
Authors and Affiliations
Roman V. Bobryk, Andrzej Chrzeszczyk
Keywords
Related Articles
- EP ID EP74266
- DOI -
- Views 148
- Downloads 0
Identification problems of Recurrent Cascade Neural Network application in predicting an additional mass location
The paper is a development of research originated in [8]. The identification problem deals with searching the location of a small mass attached to a steel plate. The corresponding inverse problem is based on measurement...
Identification of aerodynamic coefficients of a projectile and reconstruction of its trajectory from partial flight data
Several optimization techniques are proposed both to identify the aerodynamic coefficients and to reconstruct the trajectory of a fin-stabilized projectile from partial flight data. A reduced ballistic model is used inst...
Numerical estimation of internal stress relieving in destructive test. (Received in the final form January 18, 2010)
The paper deals with the analysis of residual stress fields in the riveted joint and the estimation of the internal stress magnitude releasing by partial and complete removing of the rivet material. Stress relieving caus...
Homogenization of composites with interfacial debonding using duality-based solver and micromechanics. (Received in the final form February 13, 2009).
One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contributio...
Solution of 2D non-homogenous wave equation by using polywave functions. (Received in the final form February 9, 2010)
The paper presents a specific technique of solving the non-homogenous wave equation with the use of Trefftz functions for the wave equation. The solution was presented as a sum of a general integral and a particular inte...