Accurate numerical integration of state-space models for aeroelastic systems with free play

Conner, Mark D.; Virgin, Lawrence N.; Dowell, Earl H.

doi:10.2514/3.13377

Cited by 51 publications

(19 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These structural nonlinearities were generally treated as non-smooth nonlinearities in mathematics such as free-play nonlinearity [25][26][27][28], piecewise linear nonlinearity [25,26], etc. They would restrict the structural motions and even play a very prominent role in the structural dynamics [24][25][26][27][28]. To the best of our knowledge, studies on the subsonic plates with motion-limiting constraints, especially with the non-smooth nonlinearities still need an improvement.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

Yang

2014

Meccanica

View full text Add to dashboard Cite

This paper is aimed at presenting the nonlinear flutter peculiarities of a cantilevered plate with motion-limiting constraints in subsonic flow. A non-smooth free-play structural nonlinearity is considered to model the motion constraints. The governing nonlinear partial differential equation is discretized in space and time domains by using the Galerkin method. The equilibrium points and their stabilities are presented based on qualitative analysis and numerical studies. The system loses its stability by flutter and undergoes the limit cycle oscillations (LCOs) due to the nonlinearity. A heuristic analysis scheme based on the equivalent linearization method is applied to theoretical analysis of the LCOs. The Hopf and two-multiple semi-stable limit cycle bifurcation bifurcations are supercritical or subcritical, which is dependent on the location of the motion constraints. For some special cases the bifurcations are, interestingly, both supercritical and subcritical. The influence of varying parameters on the dynamics is discussed in detail. The results predicted by the analysis scheme are in good agreement with the numerical ones.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

Yang

2014

Meccanica

View full text Add to dashboard Cite

show abstract

“…Table 1 summarizes the main dimensions of the wing/body configuration together with other properties of the system (mass parameter value, initial conditions, etc.). To avoid instability in the numerical integration when passing from one linear region to another in the freeplay type of non-linearity, Conner et al [14] have shown that the application of Henon's method has many advantages. For the results presented in this article the method of reference [14] has been adopted.…”

Section: Resultsmentioning

confidence: 99%

Aeroelastic Characteristics of Slender Wing/Bodies with Freeplay Non-Linearities

Arevalo

García-Fogeda

2010

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

Abstract:This article presents a time domain approach to the flutter analysis of a missile-type wing/body configuration with concentrated structural non-linearities. The missile wing is considered fully movable and its rotation angle contains the structural freeplay-type non-linearity. Although a general formulation for flexible configurations is developed, only two rigid degrees of freedom are taken into account for the results: pitching of the whole wing/body configuration and wing rotation angle around its hinge. An unsteady aerodynamic model based on the slenderbody approach is used to calculate aerodynamic generalized forces. Limit-cycle oscillations and chaotic motion below the flutter speed are observed in this study.

show abstract

“…Virgin and Dowell have looked into the nonlinear behavior of airfoils with control surface free-play and investigated the limit-cycle oscillations and chaotic motion of airfoils. 19,20 On the other hand more insight into nonlinear dynamics itself using nonlinear aeroelastic behavior of an airfoil as an example 2 American Institute of Aeronautics and Astronautics is investigated by Strganac and co-workers. 21 The importance of this work stems from the theoretical and experimental work being conducted simultaneously.…”

Section: 14mentioning

confidence: 99%

Nonlinear aeroelastic analysis of aircraft with high-aspect-ratio wings

Patil

Hodges

1998

39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit

View full text Add to dashboard Cite

The paper describes a formulation for aeroelastic analysis of aircraft with high-aspect-ratio wings. The analysis is a combination of a geometrically-exact mixed formulation for dynamics of moving beams and finite-state unsteady aerodynamics with the ability to model dynamic stall. The analysis also takes into account gravitational forces, propulsive forces and rigidbody dynamics. The code has been validated against the exact flutter speed of the "Goland" wing. Further results have been obtained which give insight into the effects of the structural and aerodynamic nonlinearities on the trim solution and flutter speed.

show abstract

Accurate numerical integration of state-space models for aeroelastic systems with free play

Cited by 51 publications

References 6 publications

Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

Aeroelastic Characteristics of Slender Wing/Bodies with Freeplay Non-Linearities

Nonlinear aeroelastic analysis of aircraft with high-aspect-ratio wings

Contact Info

Product

Resources

About