굽힘하중이 가해지는 복합재 평판 자유단에서의 박리응력 감소 연구
Reduction of Free Edge Peeling Stress in Composite Laminates under Bending Load
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초록
본 논문에서는 굽힘하중이 가해지는 스마트 복합재 적층판의 자유단에서 발생하는 박리응력을 압전 작동기를 이용해서 감소시키는 방법을 응력함수를 이용해 해석하는 방법을 제안하였다. 전기-기계 연성에 의해 나타나는 지배방정식은 최소 보족일의 원리를 이용해 구하였다. 응력상태는 일반적인 고유치 해석과정을 통해 구하였다. 스마트 복합재 적층판의 자유단 박리응력은 압전 작동기를 이용해 감소시킬 수 있었다. cross-ply 복합재 적층판의 박리응력 감소가 angle-ply 복합재 적층판보다 크게 나타났다.
Abstract
In this paper, a stress function-based approach was proposed to analyze the reduction of free-edge peeling stress in smart composite laminates using piezoelectric actuator under bending load. Electro-mechanically coupled governing equation was obtained by complimentary virtual work principle. The stress state was solved by the generalized eigenvalue procedure. The free-edge peeling stress of smart composite laminates was reduced by the piezoelectric actuation. The reduction rate of peeling stress in cross-ply composite laminate is larger than that in angle ply composite laminate.
참고문헌 (17)
- Chandrashekhara, K., "Active Vibration Control of Laminated Composite Plates using Piezoelectric Devices: A Finite Element Approach", J. Intell. Mater. Syst. Struct., 4(4), pp.496~508 (1993)
- Detwiler, D. T., "Finite Element Analysis of Laminated Composite Structures Containing Distributed Piezoelectric Actuators and Sensors", Finite Elem. Anal. Des., 20(2), pp.87~100 (1995)
- Flanagan, G., "An Efficient Stress Function Approximation for the Free-edge Stresses in laminates", Int. J. Solids Struct, pp.941~952 (1994)
- Kabir, H.R.H., "A Novel Approach to the Solution of Shear Flexible Rectangular Plates with Arbitrary Laminations", Composites Part B, 27(1), pp.95~104 (1996)
- Kim, H.S., "Interlaminar Stress Analysis of Shell Structures with Piezoelectric Patch Including Thermal Loading", AIAA J., 40(12), pp.2517~2525 (2002)
- Kim, H.S, "Implementaion of a Coupled Thermo Piezoelectirc-Mechanical Model in the LQG Controller Design for Smart Composite Shells", J. Intell. Mater. Syst. Struct, 13(11), pp.713~724 (2002)
- Kim, H. S., "Transient Analysis of Delaminated Smart Composite Structures by Incorporating the Fermi-Dirac Distribution Function", Smart Mater. Struct., 15(2), pp.221~ (2006)
- Konieczny, S,, "Corrected 2D-Theories for Composite Plates", Acta Mech., 103(1-4), pp.145~155 (1994)
- Lee, C.K., "Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors", Actuators: part I: Governing Equations and Reciprocal Relationship, 1990, pp.87(3), 1144~1158
- Lekhnitskii, S.G., "Theory of Elasticity of an Anisotropic Body" (1963), Holden-Day
- Reddy, J.N., "On Laminated Composite Plates with Integrated Sensors and Actuators", Eng. Struct., 21(7), pp.568~593 (1999)
- Robbins, D.H., "Modelling of Thick Composites using a Layerwise Laminate Theory", Int. J. Number. Methods Eng., 36(4), pp.655~677 (1993)
- Spilker, R.L., "Edge Effects in Symmetric Composite Laminates: Importance of Satisfying the Traction Free-edge Condition", J. Compos. Mater., 14, pp.2~20 (1980)
- Tani, J., "A Strip Element Method for Bending Analysis of Orthotropic Plates", JSME int. J., 40(4), pp.398~406 (1997)
- Yin, W.L., "Free-edge Effects in Anisotropic Laminates under Extension, Bending and Twisting, part I: A Stress Function-based Variational Approach", J. Appl. Mech., 61, pp.410~415 (1994)
- Yin, W.L., "Free-edge Effects in Anisotropic Laminates under Extension, Bending and Twisting, part II: Eigenfunction Analysis and the Results for Symnmetric Laminates", J. Appl. Mech., 61, pp.146~121 (1994)
- Zhu, C., "A Rayleigh-Ritz Solution for Local Stresses in Composite Laminates", Compos. Sci. Technol, 58(3-4), pp.447~461 (1998)