不同邊界條件及長寬比對矩形板行為之影響

Abstract

本文係使用有限元素的應用軟體SAP90來分析各種不同邊界條件之矩形板的自由振動(free vibration)，並探討不同長寬比及非等厚度對於矩形板自然振動頻率的影響；由分析結 果得知，將矩形板長邊固定或固定端的邊數愈多時，會有較高的自然振動頻率；當長寬比 值愈大時，自然振動頻率隨之遞減。另外，對於部分固定端(partially clamped)的邊界 情況及具有簡支或固定點支承(point support)懸臂板的自然振動頻率也加以探討分析。 In this research, the free vibration of rectangular plates is analyzed by usin g the software SAP90. The effects of boundary conditions, length-width ratio, and linearly varying thickness are taken into consideration. It is found that natural frequency of the plate increases with increasing fixed-sides or fixing long sides of the rectangular plate. It is also observed that the increase of thelength-width ratio, reduces the natural frequency of the plate. The free v ibration of plates with partially supported edges, and cantilever plates with simply support or fixed support are also studied in this article.