Effects of externally mounted store on the nonlinear response of slender wings

[+] Author and Article Information
Yuqian Xu

School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

Dengqing Cao

School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

Chonghui Shao

Harbin Turbine Company Limited, Harbin, 150046, China

Huagang Lin

School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

1Corresponding author.

ASME doi:10.1115/1.4039241 History: Received October 16, 2017; Revised January 27, 2018


The nonlinear characteristics of slender wings have been studied for many years, and the influences of the geometric structural nonlinearity on the post-flutter responses of the wing are received significant attention. In this paper, the effects of the external store on the nonlinear responses of the slender wing will be discussed. Based on the Hodges-Dowell beam model, the dynamical equations of the wing which include the geometric structural nonlinearity and store effects are constructed. The unsteady aerodynamic loading of the wing will be calculated by employing Wagner function and strip theory. The slender body theory is adopted to get the aerodynamic forces of the store. The Galerkin method is used to obtain the state equations of the system and the appropriate mode combination is obtained for the cases studied in this paper. Numerical simulations are given to show that the store spanwise position and the distance between the store mass center and the elastic center of the wing are two important factors which will affect the nonlinear characteristics of the wing. These two parameters will induce the occurrence of quasi-periodic motion and branch structure in bifurcation diagrams to the system. The peak of post-flutter response is also related to these parameters, the lower response peak can be obtained when the store mass center is in front of the elastic center. The models and results are helpful to the design procedure of the slender wing with store in the preliminary stage.

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