Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview

Abstract

During the past few decades, several significant progresses have been made in exploring complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil models. Additionally, some new challenges have arisen. To the best of the author’s knowledge, most studies are concerned with the deterministic case; however, the effects of stochasticity encountered in practical flight environments on the nonlinear dynamical behaviors of the airfoil systems are neglected. Crucially, coupling interaction of the structure nonlinearities and uncertainty fluctuations can lead to some difficulties on the airfoil models, including accurate modeling, response solving, and vibration suppression. At the same time, most of the existing studies depend mainly on a mathematical model established by physical mechanisms. Unfortunately, it is challenging and even impossible to obtain an accurate physical model of the complex wing structure in engineering practice. The emergence of data science and machine learning provides new opportunities for understanding the aeroelastic airfoil systems from the data-driven point of view, such as data-driven modeling, prediction, and control from the recorded data. Nevertheless, relevant data-driven problems of the aeroelastic airfoil systems are not addressed well up to now. This survey contributes to conducting a comprehensive overview of recent developments toward understanding complex dynamical behaviors and vibration suppression, especially for stochastic dynamics, early warning, and data-driven problems, of the conceptual two-dimensional airfoil models with different structural nonlinearities. The results on the airfoil models are summarized and discussed. Besides, several potential development directions that are worth further exploration are also highlighted.

Development and Prospect of Smart Materials and Structures for Aerospace Sensing Systems and Applications

“…In order to study the collection of vibration energy by piezoelectric energy harvesters, generally attention is paid to the energy escape forms, such as galloping, vortex-excited vibration, and flutter generated by the excitation of beams, cylinders, plates, and other structures under the excitation of air flow in aerospace [ 25 , 26 ]. In contrast, airfoil flutter has attracted more attention from researchers, but there are a large number of nonlinear factors in the complex aviation structure, and the actual behavior often shows complex dynamic behavior, so it is necessary to conduct in-depth research and reliability verification of the relevant models to ensure the safety of the aircraft [ 27 ].…”

Numerical Analysis of Free Play-Induced Aeroelastic Phenomena: A Numerical Approach With Adaptive Step Size Control

“…The LCO responses of typical wing sections with varying degree of freedom (DOF)-including plunge, pitch, and control surface motion as explored by Block and Strganac [25]; Ko, Strganac, and Kurdila [26]; and Singh and Yim [27], or an expanded four DOFs incorporating an additional leading control surface motion as in Panta et al [28]; Tang, Li, and Dowell [29]; and Mannarino and Dowell [30]-have also been thor-oughly investigated. Complex dynamical behaviors of a conceptual two-dimensional airfoil with both structural and aerodynamic nonlinearities excited by different types of external loads are thoroughly investigated by Liu, Xu, and Li [31] and Guo et al [32], and an overview of recent developments related to this field is provided by Liu et al [33].…”

Analysis of stochastic P-bifurcation and critical flutter velocity parameter effects on a 3 degree of freedom wing

“…In [16][17][18], the critical parameter conditions for the occurrence of the stochastic P-bifurcation of the system under the influence of noise for Duffing oscillators, and the jump and bifurcation phenomena of the steady-state response of the system under noise excitation were analyzed. In [19][20][21][22], the effect of structural nonlinearity on wing stability was investigated, and bifurcation and chaotic phenomena caused by nonlinear effects were analyzed. Considering the effect of flow field changes on the nonlinear aeroelastic system, in [23], he biostability of the wing and the jump phenomenon were analyzed.…”