A variable-kinematic model for variable stiffness plates: Vibration and buckling analysis
Source abstract
Abstract
Abstract This paper presents an advanced approximate technique for the vibration and buckling analysis of variable stiffness plates. The formulation is based on a variable-kinematic approach and is developed in the context of a variational framework together with the method of Ritz. Any set of boundary conditions can be accounted for, while loading conditions of pure axial compression are assumed. Results are validated against finite element predictions and solutions available in the literature, demonstrating the accuracy of the proposed method in terms of eigenvalues and modal shape descriptions. A novel set of vibration and buckling results is provided for moderately thick variable stiffness plates, including monolithic and sandwich configurations.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Mechanical Engineering and Vibrations Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (50)
Show source-provided references
1. Vibration and buckling of rectangular composite plates with variable fiber spacing10.1016/0263-8223(90)90014-6 ↗
2. Buckling and postbuckling of laminated composite plates with ply dropoffs10.2514/3.10276 ↗
3. Hyer MW, Charette RF. Use of curvilinear fiber format in composite structure design. In: 30th AIAA structures, structural dynamics, and materials conference. 89-1404-CP, Mobile, AL; 3–5 April 1989.10.2514/6.1989-1404 ↗
4. Use of curvilinear fiber format in composite structure design10.2514/3.10697 ↗
5. Gürdal Z., Olmedo R. Composite laminates with spatially varying fiber orientations: variable stiffness panel concept. In: 33rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and material conference, Dallas, TX; April 13–15 1992.10.2514/6.1992-2472 ↗
6. In-plane response of laminates with spatially varying fiber orientations-variable stiffness concept10.2514/3.11613 ↗
7. Olmedo R., Gürdal Z. Buckling response of laminates with spatially varying fiber orientations. In: 34th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and material conference, La Jolla, CA; April 19–22 1993.10.2514/6.1993-1567 ↗
8. A review on the mechanical behaviour of curvilinear fibre composite laminated panels10.1177/0021998313502066 ↗
9. Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters10.1016/j.compstruct.2006.08.018 ↗
10. Design of variable-stiffness conical shells for maximum fundamental eigenfrequency10.1016/j.compstruc.2007.04.020 ↗
11. Vibration design of laminated fibrous composite plates with local anisotropy induced by short fibers and curvilinear fibers10.1016/j.compstruct.2010.07.003 ↗
12. Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers10.1016/j.compstruct.2011.04.027 ↗
13. Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method10.1016/j.compositesb.2015.07.012 ↗
14. Tatting BF, Gürdal Z. Analysis and design of tow-steered variable stiffness composite laminates. In: AHS meeting, Williamsburg, VA; 30 October–1 November 2001.
15. Waldhart C, Gürdal Z, Ribbens C. Analysis of tow placed, parallel fiber, variable stiffness laminates. In: 37th AIAA structures, structural dynamics, and materials conference, AIAA-96-1569, Salt Lake City, UT; 15–17 April 1996.10.2514/6.1996-1569 ↗
16. Design of variable-stiffness composite panels for maximum buckling load10.1016/j.compstruct.2008.01.008 ↗
17. Prebuckling and buckling analysis of variable angle tow plates with general boundary conditions10.1016/j.compstruct.2012.04.002 ↗
18. Buckling analysis and optimisation of variable angle tow composite plates10.1016/j.tws.2012.07.008 ↗
19. Postbuckling analysis of variable angle tow composite plates10.1016/j.ijsolstr.2013.02.001 ↗
20. Fast tool for buckling analysis and optimization of stiffened panels10.2514/1.43396 ↗
21. Analytical formulation for local buckling and post-buckling analysis of stiffened laminated panels10.1016/j.tws.2008.07.006 ↗
22. Buckling analysis of stiffened variable angle tow panels10.1016/j.compstruct.2013.12.029 ↗
23. Coburn BH, Weaver PM. Buckling analysis, design and optimisation of variable stiffness sandwich panels. In: 20th International conference on composite materials, Copenhagen; July 19–24 2015.
24. Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory10.1016/0022-460X(85)90383-9 ↗
25. Reddy · 2004
26. Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory10.1016/j.tws.2011.02.005 ↗
27. A class of two-dimensional theories for anisotropic multilayered plates analysis
28. Theories and finite elements for multilayered, anisotropic, composite plates and shells10.1007/BF02736649 ↗
29. Variable-kinematics approach for linearized buckling analysis of laminated plates and shells10.2514/1.J050203 ↗
30. Exact refined buckling solutions for laminated plates under uniaxial and biaxial loads10.1016/j.compstruct.2015.03.003 ↗
31. Analysis of thick isotropic and cross-ply laminated plates by radial basis functions and a unified formulation10.1016/j.jsv.2010.08.037 ↗
32. Buckling analysis of sandwich plates with functionally graded skins using a new quasi-3d hyperbolic sine shear deformation theory and collocation with radial basis functions10.1002/zamm.201100186 ↗
33. Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3d higher-order shear deformation theory and a meshless technique10.1016/j.compositesb.2012.01.089 ↗
34. A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates10.1016/S0263-8223(02)00239-8 ↗
35. Higher-order theories and radial basis functions applied to free vibration analysis of thin-walled beams
36. Advanced variable kinematics Ritz and Galerkin formulations for accurate buckling and vibration analysis of anisotropic laminated composite plates10.1016/j.compstruct.2011.07.018 ↗
37. Thermo-mechanical buckling analysis of anisotropic multilayered composite and sandwich plates by using refined variable-kinematics theories10.1080/01495739.2013.770642 ↗
38. Dozio L, Vescovini R. Refined buckling analysis of composite plates under various boundary conditions. In: 18th International conference on composite structures (ICCS18), Lisbon; June 15–18 2015.
39. Vibration analysis of anisotropic simply supported plates by using variable kinematic and Rayleigh–Ritz method10.1115/1.4004680 ↗
40. Ritz analysis of vibrating rectangular and skew multilayered plates based on advanced variable-kinematic models10.1016/j.compstruct.2012.02.008 ↗
41. A 2D equivalent single-layer formulation for the effect of transverse shear on laminated plates with curvilinear fibres10.1016/j.compstruct.2013.01.014 ↗
42. Exact vibration solutions for cross-ply laminated plates with two opposite edges simply supported using refined theories of variable order10.1016/j.jsv.2013.12.007 ↗
43. Design tailoring for pressure pillowing using tow-placed steered fibers10.2514/1.32676 ↗
44. Nagendra S, Kodiyalam S, Davis JE, Parthasarathy VN. Optimization of tow fiber paths for composite design. In: 36th AIAA structures, structural dynamics, and materials conference, New Orleans, LA; April 10–12 1995.10.2514/6.1995-1275 ↗
45. Variable stiffness composite panels: effects of stiffness variation on the in-plane and buckling response10.1016/j.compositesa.2007.11.015 ↗
46. Single-mode solution for post-buckling analysis of composite panels with elastic restraints loaded in compression10.1016/j.compositesb.2011.08.029 ↗
47. Two-step procedure for fast post-buckling analysis of composite stiffened panels10.1016/j.compstruc.2013.06.002 ↗
48. Hexcel website. .
49. Assessment of continuum models for sandwich panel honeycomb cores10.1016/S0045-7825(96)01196-6 ↗
50. Single-stringer compression specimen for the assessment of damage tolerance of postbuckled structures10.2514/1.C031106 ↗