• 한국전산구조공학회논문집
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• 제28권5호
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• pp.497-502
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• 2015

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 적층판 보다 크게 나타났다.

• Advances in Computational Design
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• 제5권1호
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• pp.55-89
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• 2020

For the first time, an accurate analytical solution, based on coupled three-dimensional (3D) piezoelasticity equations, is presented for free vibration analysis of the angle-ply elastic and piezoelectric flat laminated panels under arbitrary boundary conditions. The present analytical solution is applicable to composite, sandwich and hybrid panels having arbitrary angle-ply lay-up, material properties, and boundary conditions. The modified Hamiltons principle approach has been applied to derive the weak form of governing equations where stresses, displacements, electric potential, and electric displacement field variables are considered as primary variables. Thereafter, multi-term multi-field extended Kantorovich approach (MMEKM) is employed to transform the governing equation into two sets of algebraic-ordinary differential equations (ODEs), one along in-plane (x) and other along the thickness (z) direction, respectively. These ODEs are solved in closed-form manner, which ensures the same order of accuracy for all the variables (stresses, displacements, and electric variables) by satisfying the boundary and continuity equations in exact manners. A robust algorithm is developed for extracting the natural frequencies and mode shapes. The numerical results are reported for various configurations such as elastic panels, sandwich panels and piezoelectric panels under different sets of boundary conditions. The effect of ply-angle and thickness to span ratio (s) on the dynamic behavior of the panels are also investigated. The presented 3D analytical solution will be helpful in the assessment of various 1D theories and numerical methods.