Optimization Of Ring Stiffener Of A Missile
Sheikh Naunehal Ahamed, Mohammed Mushraffuddin
Index Terms: circumferential nodes, hoop’s stress, mesh, resonance, topology optimization, von misses stress
Abstract: In general thick cylindrical structures have radial, axial, circumferential and extensional modes and some of these free vibrational modes exists within the machine operating frequency range and can lead to potential resonance. One way to avoid the resonance is to shift the system natural frequencies away from the machine operating range. In case of turbo-generators the forcing function, which is combination of various deformation stresses that deforms the structure into an oval shape. Our research explains how to shift oval mode frequencies using topology optimization scheme in the context of a finite element (FE) approach. The key challenge involved in FE is that one should be able to retain the mode of interest throughout the cycle of optimization. During the optimization scheme, there will be a progressive change in the geometry and material, which may cause removal/shifting of the mode of interest. The optimization is carried out using conventional artificial boundary condition of a missile ring stiffeners oval mode.
. Bakker MCM, Rosmanit M, Hofmeyer H (2008). “Approximate large deflection analysis of simply supported rectangular plates under transverse loading using plate post-buckling solutions”, Struct. Design, 46(11): 1224-1235
. Bhattacharya MC (1986). “Static and Dynamic Deflections of Plates of Arbitrary Geometry by a New Finite Difference Approach”. J. Sound. Vib, 107(3): 507-521.
. Chaudhuri RA (1987). “Stress concentration around a part through hole weakening laminated plate”. Comput. Struct., 27(5): 601-609.
. Das D, Prasanth S, Saha K (2009). “a variational analysis for large deflection of skew plates under uniformly distributed load through domain mapping technique”. Int. J. Eng. Sci. Technol., 1(1): 16-32.
. Defu W, sheikh E (2005). “Large deflection mathematical analysis of rectangular plates”, journal of engineering mechanics, 131(8): 809-821.
. Jain NK (2009). “Analysis of Stress Concentration and Deflection in Isotropic and Orthotropic Rectangular Plates with Central Circular Hole under Transverse Static Loading”, 52th international meet World Academy of Science, Engineering and Technology, Bangalore.
. Liew KM, Teo TM, Han JB (1999). “Three-dimensional static solutions of rectangular plates by variant differential quadrature method”. Int. J. Mech. Sci., 43: 1611-1628.
. Paul TK, Rao KM (1989). “Finite element evaluation of stress concentration factor of thick laminated plates under transverse loading”. Comput. Struct., 48(2): 311-317.
. Paiva JB, Aliabadi MH (2004). Bending moments at interfaces of thin zoned plates with discrete thickness by the boundary element method. Eng. Anal. Boundary Elements, 28(7): 747-751.
. Pape D, Fox AJ (2006). Fox, Deflection Solutions for Edge Stiffened Plates, Proceedings of the 2006 IJME - INTERTECH Conference, Session: Eng, pp. 203-091.
. Shaiov MA, Vorus WS (1986). “Elasto-plastic plate bending analysis by a boundary element method with initial plastic moments”. Int. J. Solid. Struct., 22(2): 1213-1229
. Steen E, Byklum E (2004). “Approximate buckling strength analysis of plates with arbitrarily oriented stiffeners”, 17TH Nordic seminar on computational mechanics, Stockholm, pp. 50-53.
. Troipsky MS (1976)."Stiffened Plates, Bending, Stability, and Vibration", journal of applied mechanics, 44(3),p. 516.
. Xuan HN, Rabczuk T, Alain SPA, Dedongnie JF (2007). “a smoothed finite element method for plate analysis”, Computer Methods Appl. Mech. Eng., 197: 13-16, 1184-1203.
. "Similitude Analysis of Bending of Stiffened Plates" International Journal of Structures, Vol.8, No. 2, pp. 95-105 1988
. Static analysis of an isotropic rectangular plate using finite element analysis (FEA) Journal of Mechanical Engineering Research Vol. 4(4), pp. 148-162, April 2012
. “A smoothed finite element method for plate analysis” by H. Nguyen-Xuan Rabczuk Stephan Bordas J.F.Debongnie September 18, 2007
. S.W. Lee and T.H.H. Pian. Improvement of plate and shell finite element by mixed formulation. AIAA Journal, 16:29–34, 1978.
. S.W. Lee and C. Wong. Mixed formulation finite elements for Mindlin theory plate bending. International Journal for Numerical Methods in Engineering, 18:1297–1311, 1982.
. G.R. Liu, T.T. Nguyen, K.Y. Dai, and K.Y. Lam. Theoretical aspects of the smoothed finite element method (sfem). International Journal for Numerical Methods in Engineering, in press, 2006.
. N Moes and T. Belytschko. Extended finite element method for cohesive crack growth. Engineering Fracture Mechanics, 69:813–834, 2002.
. N. Moes, J. Dolbow, and T. Belytschko. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 46(1):133–150, 1999.
. L.S.D. Morley. Skew plates and structures. Pergamon Press: Oxford, 1963.