振動問題在工業界中是一項重要的議題而且非常地受到關注。結構振動教學的困難之處包含了涉及大量的工程數學,以及振動現象難以呈現。本文主要目的為運用振動試驗機組實際示範與搭配有限元素分析虛擬模態動畫示範做為教學教具。振動試驗機組內包含了不同幾何造型、尺寸不同之試驗片,主要是要呈現不同結構的模態參數也會有所不同。在有限元素分析中需要有不同建構模型的技巧,進行模態分析得到結構的自然頻率及其相對應的模態振型。將有限元素分析所得到的自然頻率與模態振型與實際振動試驗機組實際呈現的模態振型及自然頻率進行比對證明。將可以使得原本抽象的振動教學能有以更淺顯易懂的方式呈現。也因此可以成為振動教學的有效工具。
Structural vibration is an important engineering issue and very much of concern. The teaching on structural vibration generally involves engineering mathematics and is difficult to show the vibration phenomenon. This work aims to use the vibration testing kits for vibration demonstration and to integrate the finite element analysis (FEA) for theoretical study on structural modal analysis. Different test specimens with different geometry and sizes are used to carry out the resonant test to show the vibration mode shapes for the specimens. The finite element models of the specimens by different modeling techniques are also shown and performed modal analysis to obtain structural natural frequencies and mode shapes. Both the virtual reality video for mode shape animation from FEA results and the practical structural mode shapes observation are, respectively, demonstrated to correlate the theoretical analysis and practical experiments. This work illustrates the computer aided tool by FEA for vibration teaching as well as the demonstration of vibration mode shape by the portable vibration testing kits. The virtual reality animation video and the practical observation of mode shape for different geometry specimens due to structural resonances can be helpful in vibration teaching.