Design of cut-outs in shell structures

Aircraft fuselages are inevitably weakened by a large number of cutouts. In particular large cut-outs in the pressure cabin, like those for doors, remain highly fatigue sensitive. This is not only due to the fact that the cut-out causes a large stress concentration, but is also due to the use of the door in service. This considerably increases the chance of accidental damage. It is obvious, therefore, that the reinforcement around a cut-out must be designed with care. The large number of repair patches around doors and other large cut-outs, found on virtually all aircraft over a certain age, clearly shows that the currently used design methods are inadequate. An improved design method for cut-outs in pressurized aircraft fuselages is described in this thesis. The design aspect should be emphasized, because design is more than simply the availability of an appropriate analysis method. A design procedure must by definition include the sizing of the structure and, moreover, must provide the designer with sufficient information to understand its behaviour. The latter aspect is especially important, because this allows the designer to concentrate on the creative part of the design task. Reduction of the time taken in design is obviously important from an economical point of view. Besides economic advantages, reduction of the time taken in design is also important with respect to changes in design. A door together with its surrounding structure, is often redesigned to meet individual customer requirements and this redesign often has to be performed in a very short time. The design method presented in this thesis offers a procedure for the prediction and modification of the stresses around a cut-out by means of finite element analysis, optimization, sensitivity studies and "what-if' analysis. The design tool developed speeds up the design process by around an order of magnitude. The design method is applied to an existing aircraft and the results compared to experimental data. A parameter study is performed to identify the most effective members of the reinforcing structure.

[1]  J. S. Przemieniecki Theory of matrix structural analysis , 1985 .

[2]  C. Bert,et al.  The behavior of structures composed of composite materials , 1986 .

[3]  J. G. Lekkerkerker Stress concentration around circular holes in cylindrical shells , 1966 .

[4]  Michael Chun-Yung Niu,et al.  Airframe Structural Design: Practical Design Information and Data on Aircraft Structures , 1988 .

[5]  O. C. Zienkiewicz,et al.  A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[6]  M. E. Heerschap Simplified finite element representation of fuselage frames with flexible castellations , 1993 .

[7]  James Martin Whitney,et al.  Theory of laminated plates , 1970 .

[8]  R. Fredell,et al.  Damage Tolerant Repair Techniques for Pressurized Aircraft Fuselages , 1994 .

[9]  Raymond Hicks Reinforced Elliptical Holes in Stressed Plates , 1957 .

[10]  E. Torenbeek,et al.  Synthesis of Subsonic Airplane Design , 1979 .

[11]  K. S. Lo,et al.  Computer analysis in cylindrical shells , 1964 .

[12]  Kyung K. Choi,et al.  Integrated Computational Considerations for Large Scale Structural Design Sensitivity Analysis and Optimization , 1989 .

[13]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[14]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[15]  Victor E. Saouma,et al.  Finite element based optimization of complex structures on a CRAY X-MP supercomputer , 1990 .

[16]  Steven G. Russell,et al.  A Rayleigh-Ritz design methodology for cutouts in composite structures , 1992 .

[17]  Harry G. Schaeffer,et al.  Finite elements: Their design and performance , 1995 .

[18]  C. Perrin Numerical Recipes in Fortran 90: The Art of Scientific Computing, Second Edition, Volume 2 (3 CD-ROMs and Manual) By William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Cambridge University Press: New York, 1996. , 1997 .

[19]  Kuang-Hua Chang,et al.  An interactive post-processor for structural design sensitivity analysis and optimization: Sensitivity display and what-if study , 1990 .

[20]  W. Flügge Stresses in Shells , 1960 .

[21]  E. H. Mansfield NEUTRAL IIOLES IN PLANE SHEET—REINFORCED IIOLES WHICH ARE ELASTICALLY EQUIVALENT TO THE UNCUT SHEET , 1953 .

[22]  Hirokazu Miura An improved fully stressed design algorithm for plate/shell structures , 1990 .

[23]  M. E. Heerschap User's Manual for the Computer Program Cufus: Quick Design Procedure for a CUt-out in a FUSelage Version 1.0 , 1995 .

[24]  Jasbir S. Arora,et al.  Use of ADINA for design optimization of nonlinear structures , 1987 .

[25]  P. Kuhn Stresses in aircraft and shell structures , 1956 .

[26]  R. J. Yang,et al.  Shape Sensitivity Analysis and Optimization Using NASTRAN , 1991 .

[27]  A. J. Medland The Computer-Based Design Process , 1985 .

[28]  J. S. Arora,et al.  Design sensitivity analysis and optimization of nonlinear structures , 1987 .

[29]  J. H. Argyris,et al.  Modern fuselage analysis and the elastic aircraft : basic theory , 1963 .

[30]  G. Goluzin Geometric theory of functions of a complex variable , 1969 .

[31]  Santiago Hernández,et al.  Advanced techniques in the optimum design of structures , 1993 .

[32]  J. G. Lekkerkerker On the stress distribution in cylindrical shells weakenend by a circular hole , 1965 .

[33]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[34]  Garret N. Vanderplaats,et al.  Numerical optimization techniques for engineering design , 1999 .