Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

CM Cheng, ZK Peng, WM Zhang, G Meng - Mechanical Systems and Signal …, 2017 - Elsevier
Nonlinear problems have drawn great interest and extensive attention from engineers,
physicists and mathematicians and many other scientists because most real systems are …

Nonlinear updating method: a review

P Bussetta, SB Shiki, S da Silva - Journal of the Brazilian Society of …, 2017 - Springer
This paper is a survey of the literature about the nonlinear updating process. It is focused on
the computation of the difference between the numerical model and the reference data as …

On the application of discrete-time Volterra series for the damage detection problem in initially nonlinear systems

SB Shiki, S Da Silva, MD Todd - Structural Health Monitoring, 2017 - journals.sagepub.com
Nonlinearities in the dynamical behavior of mechanical systems can degrade the
performance of damage detection features based on a linearity assumption. In this article, a …

An interval fault diagnosis method for rotor cracks

C Yongqi, GUO Chengjun - Computers & Electrical Engineering, 2020 - Elsevier
Aiming at the problem that the traditional fault diagnosis methods cannot deal with the
uncertain samples, this paper proposes an interval fault diagnosis method and its parameter …

A spatio-temporal nonlinear semi-analytical framework describing longitudinal waves propagation in damaged structures based on Green–Volterra formalism

D Bouvier, M Rébillat, E Monteiro, N Mechbal - Mechanical Systems and …, 2023 - Elsevier
Abstract Structural Health Monitoring (SHM) of aeronautic structures by means of Lamb
waves opens promising perspectives in terms of maintenance costs reduction and safety …

Volterra 核函数法在轴承滚珠磨损中的特征提取及应用.

王海涛, 张霄, 史丽晨, 王琨 - Applied Mathematics & …, 2017 - search.ebscohost.com
针对滚动轴承滚珠磨损故障特征难以提取的问题, 提出一种基于多脉冲激励法下的Volt⁃ erra
级数核的求解算法. 该方法是一种非线性系统模型的“交叉” 诊断法, 利用轴承系统输入输出的 …

A la conquête des ondes guidées: un pas de plus vers des structures multifonctionnelles intelligentes

M Rébillat - 2023 - hal.science
Les structures actuelles intègrent tout un écosystème allant bien au-delà de leur seule tenue
mécanique. Les structures vibrantes intelligentes et multifonctionnelles sont ainsi équipées …

[PDF][PDF] Characterization of the nonlinear behavior of a F-16 aircraft using discrete-time Volterra series

SB Shiki, S Da Silva, FLM Santos, B Peeters - ISMA, 2014 - past.isma-isaac.be
The linearity assumption in the structural dynamics analysis is a severe practical limitation.
Further, in the investigation of mechanisms presented in fighter aircrafts, as for instance …

Structural health monitoring in a buckled beam using Volterra series

C Hansen, SB Shiki, S Da Silva - EWSHM-7th European Workshop …, 2014 - inria.hal.science
This paper proposes a new method to detect damages in structures vibrating with nonlinear
behavior. The approach proposed is based on Volterra series and can separate the linear …

Evaluation of damage indexes for structural health monitoring in nonlinear mechanical systems based on Volterra series

SB Shiki, S Da Silva - Journal of Physics: Conference Series, 2015 - iopscience.iop.org
Nonlinear behavior can be important for the monitoring of the structural state of mechanical
systems since it can be mistakenly classified as a damage in the systems. However …