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Molly Kane January 31, 2008 Structures Group Fuselage Buckling Analysis

Molly Kane January 31, 2008 Structures Group Fuselage Buckling Analysis. Matlab Code. Assumptions: perfect cylindrical shell, constant radius, uniaxial stress, unpressurized, radius is taken to be from the center of cylinder to half-way through the thickness

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Molly Kane January 31, 2008 Structures Group Fuselage Buckling Analysis

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  1. Molly KaneJanuary 31, 2008Structures GroupFuselage Buckling Analysis AAE 450 Spring 2008

  2. Matlab Code • Assumptions: perfect cylindrical shell, constant radius, uniaxial stress, unpressurized, radius is taken to be from the center of cylinder to half-way through the thickness • Dimensions taken from Tsohas’ rocket: • L = 8.44 m • R = 0.457 m • Inputs: • Material specifications (Young’s Modulus, Poisson’s Ratio, density) • Length, radius, thickness • Outputs: • Critical pressure, amount of material, (eventually pricing) AAE 450 Spring 2008 Structures Group

  3. Future Work • Add material selections, add effects of internal supports, account for changing radius with stages, welding AAE 450 Spring 2008 Structures Group

  4. Backup Slides • Method 1 from Wang, Wang, Reddy Ncr = 1 (Et2/R) √(3(1-ν2)) • Method 2 from Brush, Almroth Pea = [(πa/L)2 + n2]2 *(n/a)2 + (πa/L)4 . Eh n2 12(1-v2) (n2[(πa/L)2 + n2]2) Where n is an integer representing the number of half – waves present in along the structure • Method 3 from Baker, Kovalevsky, Rish Pcr = Kcπ2E (t/L)2Kc = 4√(3)γZ Z = L2√(1-v2) 12(1-v2) π2 Rt Where γ is representative of the R/t ratio. AAE 450 Spring 2008 Structures Group

  5. References • Baker, E.H., Kovalevsky, L., Rish, F.L., Structural Analysis of Shells, Robert E. Krieger Publishing Company, Huntington, NY, 1981, pgs. 229-240. • Brush, D.O., Almroth, B.O., Buckling of Bars, Plates, and Shells, McGraw Hill, 1975, pgs. 161-165. • Grandt, A.F., AAE352 Class Notes, Spring 2007, Purdue University • Jastrzebski, Zbigniew D., The Nature and Properties of Engineering Materials, 2nd edition, SI Version, John Wiley & Sons, Inc. • Wang, C.Y., Wang, C.M., Reddy, J.N., Exact Solutions for Buckling of Structural Members, CRC Press, Boca Raton, FL, 2005. AAE 450 Spring 2008

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