Study on structural dynamics reduced-order model for geometrically nonlinear aeroelastic analysis
Received:May 20, 2022  Revised:July 15, 2022
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DOI:10.7511/jslx20220520002
KeyWord:geometric nonlinearity  reduced order model  nonlinear flutter  limit cycle oscillation  aeroelasticity
     
AuthorInstitution
张兵 合肥工业大学 机械工程学院, 合肥
汪启航 合肥工业大学 机械工程学院, 合肥
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Abstract:
      Geometric nonlinearity is one of the main characteristics of panel flutter and aeroelasticity of wings with high aspect ratios.In numerical analysis,commercial nonlinear finite element solvers are often required,which have many problems such as large computational workload and difficulties in control of coupled iterative strategy.In this paper,a reduced-order model of computational structural dynamics (ROM-CSD) for geometric nonlinearity is developed,the nonlinear internal forces are represented by nonlinear polynomials in generalized coordinates,polynomial coefficients are obtained by parameter identification method,and the prediction accuracy of the model is improved by adding additional linear modes.Based on this method,time-domain response analysis are carried out for the ROM-CFD/CSD nonlinear flutter problems of panel flutter and cropped delta wing flutter respectively.The results show that the flutter velocity and flutter frequency calculated by ROM-CSD are 590 m/s and 174 Hz,respectively,with the errors of 0.8% and 1.7% compared with the finite element results.When the Mach number is 0.879,the predicted flutter vibration pressure of the cropped delta wing is 2.25 psi,and the error is 3.8% compared with the nonlinear finite element method;The amplitude and frequency errors of limit cycle oscillation are within 11% in many working conditions.They show that the method presented in this paper has good computational accuracy and can replace nonlinear finite element method for aeroelastic analysis to some extent.