Finite element analysis of Supersonic panel flutter

INTRODUCTION The finite element method is a powerful tool to solve static and dynamic problems of structural analysis. Its application to flutter analysis can be envisaged in two ways. It can be used to obtain a more accurate modal shape of complex structures which in turn are introduced in traditional methods. The approach followed here is different, and consists in representing the non-stationary aerodynamic forces also by finite elements, that is, directly in terms of the generalized displace- ments used as unknowns. The resulting advantage is an increased flexibility and generality in the structural configurations that can be treated. The aerodynamic forces are evaluated using the linearized piston theory and follows the line first presented by Olson.' It is extended

[1]  Earl H. Dowell,et al.  Theoretical and experimental panel flutter studies in the Mach number range 1.0 to 5.0. , 1965 .

[2]  B. Irons Structural eigenvalue problems - elimination of unwanted variables , 1965 .

[3]  B. Irons,et al.  Inadequacy of nodal connections in a stiffness solution for plate bending , 1965 .

[4]  H. Wielandt Das Iterationsverfahren bei nicht selbstadjungierten linearen Eigenwertaufgaben , 1944 .

[5]  M. D. Olson,et al.  Some flutter solutions using finite elements , 1970 .

[6]  O. Zienkiewicz The Finite Element Method In Engineering Science , 1971 .

[7]  K. Appa Kinematically consistent unsteady aerodynamic coefficients in supersonic flow , 1970 .

[8]  R. W. Hess Experimental and analytical investigation of the flutter of flat built-up panels under streamwise inplane load , 1970 .

[9]  Baudouin Fraeijs de Veubeke Matrices de projection et techniques d'itération , 1956 .

[10]  J. H. Wilkinson The algebraic eigenvalue problem , 1966 .

[11]  Martin Goland,et al.  Principles of aeroelasticity , 1975 .

[12]  Larry L. Erickson Supersonic flutter of sandwich panels: effects of face sheet bending stiffness, rotary inertia, and orthotropic core shear stiffnesses , 1971 .

[13]  John Dugundji,et al.  Theoretical considerations of panel flutter at high supersonic Mach numbers. , 1966 .

[14]  Friedrich L. Bauer On Modern Matrix Iteration Processes of Bernoulli and Graeffe Type , 1958, JACM.

[15]  M. D. Olson,et al.  Finite elements applied to panel flutter. , 1967 .

[16]  B. M. Fraeijs de Veubeke,et al.  A conforming finite element for plate bending , 1968 .

[17]  F. L. Bauer Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme , 1957 .

[18]  Y. C. Fung,et al.  SOME RECENT CONTRIBUTIONS TO PANEL FLUTTER RESEARCH , 1963 .

[19]  M. Geradin,et al.  Error bounds for eigenvalue analysis by elimination of variables , 1971 .