Nonlinear transonic flutter analysis

A numerical procedure is presented for predicting the static and dynamic aeroelastic characteristics of thin, clean swept wings in transonic flow. The method is based upon the simultaneous time integration of the equations governing the coupled nonlinear fluid dynamic and structural aeroelastic system. Governing equations for the system are developed and the numerical algorithm, including the coupling procedure for their solution, is discussed. As a computational example, the flutter of a simple rectangular wing is considered. Solutions are presented for a range of Mach numbers and dynamic pressures and compared to other existing flutter analysis methods including doublet lattice, modified strip theory, and time linearization. Unlike other procedures, the method presented here is capable of predicting the nonlinear interaction between unsteady shock wave motions and the dynamic response of an elastic wing. Computed results indicate the existence of the "transonic bucket."

[1]  D. Rizzetta,et al.  Numerical Solution of Three-Dimensional Unsteady Transonic Flow over Swept Wings , 1982 .

[2]  W. F. Ballhaus,et al.  Numerical calculation of transonic flow about swept wings. , 1972 .

[3]  D. Rizzetta,et al.  Time-Dependent Response of a Two-Dimensional Airfoil in Transonic Flow , 1979 .

[4]  J. W. Slooff,et al.  Remarks on the suitability of various transonic small perturbation equations to describe three-dimensional transonic flow; examples of computations using a fully-conservative rotated difference scheme , 1976 .

[5]  W. Weatherill,et al.  Analysis of transonic flow about harmonically oscillating airfoils and wings , 1980 .

[6]  Kumar G. Bhatia,et al.  An automated method for determining the flutter velocity and the matched point. , 1974 .

[7]  R. Schwanz,et al.  Equations of motion appropriate to the analysis of control configured vehicles , 1972 .

[8]  F. E. Eastep,et al.  Transonic Flutter Analysis of a Rectangular Wing with Conventional Airfoil Sections , 1979 .

[9]  P. Goorjian,et al.  Implicit Finite-Difference Computations of Unsteady Transonic Flows about Airfoils , 1977 .

[10]  Koji Isogai,et al.  Numerical calculation of unsteady transonic potential flow over three-dimensional wings with oscillating control surfaces , 1984 .

[11]  H. Cheng,et al.  Small Disturbance Transonic Flows about Oscillating Airfoils. , 1974 .

[12]  Effect of Frequency in Unsteady Transonic Flow , 1979 .

[13]  Robert M. Bennett,et al.  Time-marching transonic flutter solutions including angle-of-attack effects , 1983 .

[14]  W. Rodden,et al.  A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows. , 1969 .

[15]  Holt Ashley,et al.  Role of Shocks in the "Sub-Transonic" Flutter Phenomenon , 1980 .

[16]  H. Yoshihara,et al.  Unsteady Transonic Flows over an Airfoil , 1975 .

[17]  T. Y. Yang,et al.  Transonic Time-Response Analysis of 3-Degree-of-Freedom Conventional and Supercritical Airfoils , 1983 .

[18]  F. E. Ehlers,et al.  A finite difference method for the solution of the transonic flow around harmonically oscillating wings , 1974 .

[19]  D. Rizzetta,et al.  Unsteady transonic flow over wings including inviscid/viscous interaction , 1983 .

[20]  J. Cole,et al.  Calculation of plane steady transonic flows , 1970 .

[21]  P. Goorjian,et al.  Computation of Unsteady Transonic Flows by the Indicial Method , 1977 .

[22]  H. E. Bailey,et al.  Calculation of Transonic Aileron Buzz , 1979 .