Download e-book for iPad: A modern course in aeroelasticity by Earl H. Dowell, Howard C. Curtiss Jr. (auth.), Earl H.

By Earl H. Dowell, Howard C. Curtiss Jr. (auth.), Earl H. Dowell, Howard C. Curtiss Jr., Robert H. Scanlan, Fernando Sisto (eds.)

ISBN-10: 0792301854

ISBN-13: 9780792301851

ISBN-10: 9401578583

ISBN-13: 9789401578585

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Example text

13). 13) may be written, c aa (Y2, TJ) = = = f' ~J r dYl- [ ' ~JdYl f' ~JdYl r ~J dYl for Y2> TJ for Y2

1 Typical seetion model of an airfoil Solving, we obtain the trivial solution a e == 0, as weil as To be physically meaningful a e must be areal number; hence the right hand side of the above equation must be a positive number for the non trivial solution a e -:j:. 0 to be possible. For simplicity let us first assume that e > O. , for eqS(iJCJiJa) > K a } are non trivial solutions possible. 6. For q < qD, a e == 0 as a consequence of setting ao == CMAC == o. Clearly for e > 0, a e == 0 when q < Cfu where Ka qD == eS aCL/ila Note that two (symmetricaI) equilibrium solutions are possible for q > qD.

21) All full matrices are of order N x N and row or column matrices of order N. 23) Now let us interpret this solution. 24) IDI=O and hence, {a}-+{oo}. 24) is a polynomial in q. , qDivergence' Rather than see king the roots of the polynomial we might more simply plot IDI versus q to determine the values of dynamic pressure for which the determinant is zero. 11. From the above results we may plot qD (the lowest positive q for which IDI = 0) vs. 12. The 'exact' value of ~ is obtained as N -+ 00. Usually reasonably accurate results can be obtained for small values of N, say 10 or so.

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A modern course in aeroelasticity by Earl H. Dowell, Howard C. Curtiss Jr. (auth.), Earl H. Dowell, Howard C. Curtiss Jr., Robert H. Scanlan, Fernando Sisto (eds.)

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