Modeling and analysis of high aspect ratio wing considering random structural parameters

Area of Science:

• Aerospace Engineering
• Structural Dynamics
• Composite Materials

Background:

• Advanced composite materials in High-Aspect-Ratio wings (HARW) introduce randomness in structural parameters like elastic modulus and Poisson's ratio.
• Understanding the impact of these random parameters on aeroelastic problems is critical for predicting wing behavior.

Purpose of the Study:

• To analyze the dynamic aeroelastic response of flexible HARW considering random structural parameters.
• To develop a method for evaluating the statistical characteristics of aeroelastic effects in wings with variable material properties.

Main Methods:

• Established a 1D cantilevered Euler-Bernoulli beam aeroelastic model incorporating aerodynamic forces, based on Hamilton's principle.
• Treated elastic modulus and torsional stiffness as random field functions, discretized using the local method.
• Derived stochastic nonlinear finite element equations using the perturbation method and obtained statistical expressions for aeroelastic effects.

Main Results:

• Successfully derived recursive stochastic nonlinear finite element equations for wing analysis.
• Developed a method to statistically express the aeroelastic effects of the wing.
• Validated the method's effectiveness using Monte Carlo simulations, showing good agreement with statistical characteristics.

Conclusions:

• The proposed method effectively mirrors the statistical characteristics of aeroelastic response in HARW with random structural parameters.
• This research provides a valuable tool for analyzing the complex aeroelastic behavior of modern composite wings.