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Title |
Equation for Estimating Natural Frequencies of Initially Stressed Rectangular Plates
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Keywords |
초기응력을 받는 직사각형판 ; 자유진동 ; 좌굴 ; Mindlin's 판이론 Initially stressed rectangular plate ; Free vibration ; Buckling ; Mindlin's plate theory |
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Abstract |
A simplified method for the calculation of buckling and vibrational characteristics of initially stressed rectangular plate and antisymmetric angle-ply laminated plates is presented in this paper using the natural frequencies under unloading state. The equation of motion of rectangular plate with two opposite edges simply supported is investigated on the basis of Rayleigh-Ritz method and Mindlin plate theory with effect of the curvature term. The relationships of the non-dimensional natural frequencies with initial stresses the coeffcients of critical buckling and the boundaries of the dynamic principal instability region can be characterized by the non-dimensional natureal frequencies under unloading state. Numerical examples are presented to verify the simplified equations and to illustrate potential applications of the analysis.
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