不同柱支承模型下矩形板的静力和自由振动分析

采用有限条结合弹簧体系的方法分析了薄板在不同柱雪承型支承下的静力和自由振动问题，用弹簧体系有效地模拟各种弹性柱支承，如有转角限制或无转角限制的弹性与刚性点支承，以及考虑柱的支承面积的局部面支承，通过数值算例讨论了不同支承模型对结构的影响，结果表明，本文方法可以用来模拟各种模型的柱支承。

Static and Free Vibration Analysis of Plate on Column Supports by Different Models

A procedure incorporating the finite strip method together with spring systems is proposed to analyze the static response and free vibration of plate on column supports.The column supports are modeled as point elastic supports with or without rotation stiffness,rigid point supports and local distributed elastic supports by the spring systems.The effects of support models, column sections are discussed.Numerical examples show that in the static analysis,the support models and sections have some effects on the deflection but few to the bending moments.And in the free vibration,the support models and sections have significant effects on the natural frequencies and model shapes.