Tytuł artykułu
Autorzy
Treść / Zawartość
Pełne teksty:
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The paper addresses the problems of the sensitivity analysis and optimal design of multi-span sandwich panels with a soft core and flat thin steel facings. The response functional is formulated in a general form allowing wide practical applications. Sensitivity gradients of this functional with respect to dimensional, material and support parameters are derived using adjoint variable method. These operators account for the jump of the slope of a Timoshenko beam or a Reissner plate at the position of concentrated active load or reaction, thus extending the sensitivity operators known in literature. The jump of slope is the effect of shear deformation of the core. Special attention is focussed on sensitivity and optimisation allowing for variable support position and stiffness, because local phenomena observed in supporting area of sandwich plates often initiate failure mechanisms. Introducing optimally located elastic supports allows to reduce the unfavourable influence of temperature on the state of stress. Several examples illustrate the application of derived sensitivity operators and demonstrate their exactness.
Słowa kluczowe
Rocznik
Tom
Strony
201--210
Opis fizyczny
Bibliogr. 14 poz., rys., tab.
Twórcy
autor
autor
autor
- Poznan University of Technology, Institute of Structural Engineering, 5 Piotrowo St., 60-965 Poznań, Poland
Bibliografia
- [1] H. Beyer and B. Sendhoff, “Robust optimisation - a comprehensive survey”, Comp. Meth. in Appl. Mechanics and Engineering 196, 3190-3218 (2007).
- [2] E. Bozhevolnaya and A. Lyckergaard, “Local effects at core junctions of sandwich structures under different types of loads”, Composite Structures 73, 24-32 (2006).
- [3] E. Bozhevolnaya, A. Lyckegaard, and O.T. Thomsen, “Novel design of foam core junctions in sandwich panels”, Composites:Part B 39, 185-190 (2008).
- [4] R. Courant and D. Hilbert, Methods of Mathematical Physics, Interscience Publisher Inc., New York, 1953.
- [5] A. Garstecki and Z. Mroz, “Optimal design of supports of elastic structures subjected to loads and initial distortions”, Mech. Struct. & Mach. 15, 47-68 (1987).
- [6] A. Garstecki and K. Thermann, “Sensitivity of frames to variations of hinges in dynamic and stability problems”, StructuralOptimization 4, 108-114 (1992).
- [7] U. Icardi and L. Ferrero, “Optimisation of sandwich panels with functionally graded core and faces”, Composite Scienceand Technology 69, 575-585 (2009).
- [8] Z. Mroz and A. Mironov, “Optimal design for global mechanical constraints”, Arch. Mech. 32 (4), 505-516 (1980).
- [9] Z. Pozorski, “Sensitivity analysis of frames with unspecified dynamic load and joint parameters accounting for damping”, Computer Assisted Mechanics and Eng. Sciences 13, 641-653 (2006).
- [10] C.A. Steeves and N.A. Fleck, “Material selection in sandwich beam construction”, Scripta Materialia 50, 1335-1339 (2004).
- [11] R. Studziński, Z. Pozorski, and A. Garstecki, “Optimal design of sandwich panels with soft core”, J. Theoretical and AppliedMechanics 47 (3), 685-699 (2009).
- [12] R. Studziński, Z. Pozorski, and A. Garstecki, “Failure maps of sandwich panels with soft core”, Proc. 10th Int. Conf. ModernBuilding Materials, Structures and Techniques 1, 1060-1065 (2010).
- [13] L. Valdevit, J.W. Hutchinson, and A.G. Evans, “Structurally optimized sandwich panels with prismatic cores”, Int. J. Solidsand Structures 41, 5105-5124 (2004).
- [14] C.M. Wang, J.N. Reddy, and K.H. Lee, Shear DeformableBeams and Plates. Relationships with Classical Solutions, Elsevier Science, Oxford, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0098-0026