초기응력을 받는 직사각형판의 고유진동수 산정식 개발
Equation for Estimating Natural Frequencies of Initially Stressed Rectangular Plates
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초록
본 논문은 초기하중을 받는 직사각형판 및 역대칭 Angle-Ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는간편법을 제시하였다. 마주보는 두변이 단순지지된 직사각형판의 운동방정식은 곡률항을 고려한 Mindlin 판이론과 에너지원리를 이용한Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 직사각형판의 무차원화 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.
Abstract
A simplified method for the calculation of buckling and vibrational characteristics of initially stressed rectangular plate andantisymmetric angle-ply laminated plates is presented in this paper using the natural frequencies under unloading state. Theequation of motion of rectangular plate with two opposite edges simply supported is investigated on the basis of Rayleigh-Ritzmethod and Mindlin plate theory with effect of the curvature term. The relationships of the non-dimensional natural frequencieswith initial stresses the coeffcients of critical buckling and the boundaries of the dynamic principal instability region can becharacterized by the non-dimensional natureal frequencies under unloading state. Numerical examples are presented to verify thesimplified equations and to illustrate potential applications of the analysis.
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