面内変動曲げを受ける初期変形をもつ長方形板の動的安定性
1988 年 1988 巻 392 号 p. 83-91
詳細
1988 年 1988 巻 392 号 p. 83-91
In the following paper, the vibration of an initially deflected rectangular plate under a sinusoidally time-varying inplane moment is examined from the point of view of dynamic instability. The equation of motion describing the large deflection of the initially deflected plate is analyzed by the Galerkin method. The resulting equations for time variables are integrated by using the Runge-Kutta-Gill method. The dynamic instability regions are analyzed by the small deflection theory of a thin plate, neglecting nonlinear terms. The amplitudes of unstable regions are determined by large deflection theory.
Numerical results are presented for various shapes and magnitudes of the initial deflection. The effect of the initial deflection on natural frequency, dynamic instability and amplitudes are discussed.
