中厚矩形板的非线性动力稳定性分析

ANALYSIS OF NONLINEAR DYNAMICAL STABILITY FOR MODERXTELY THICK RECTANGULAR PLATES

摘要: 本文以Timoshenko-Mindlin假设及Hamilton原理为基础,建立了中厚板的非线性运动控制方程。应用参数增量法求解了四边简支矩形板在纵横谐载共同作用下的非线性动力稳定性问题,并对影响其动力稳定性的若干因素进行了讨论。
- 中厚矩形板 /
- 非线性 /
- 参数增量法 /
- 动力稳定性
Abstract: Based on Timoshenko-Mindlin kinematic hypotheses and Hamilton's principle,the governing motion equations for geometrically nonlinear middle-thick rectangular plate are derived. By using incremental parameter method, the nonlinear dynamic stability of simply supported plate under in-plane and transverse harmonic loads is analysized. The effects of some parameters on the dynamic stability are discussed.
- moderately thick rectangular plate /
- nonlinear behaviour /
- parameter incrementalmethod /
- dynamic stability