本文主要對銅罄結構進行模型驗證得到適合之等效分析模型,並探討銅罄振動與聲音之關聯性,可提供往後銅罄結構變更與設計之參考依據。首先利用兩種不同有限元素架構銅罄的有限元素模型,且進行有限元素分析,接下來對銅罄進行實驗模態分析,並以實驗求得之模態參數為基準,作為有限元素模型修整之依據,以確認銅罄之材料參數,進而找出較適合進行銅罄有限元素分析之有限元素模型,之後再對3種不同尺寸之銅罄進行有限元素分析及實驗模態分析,經模態參數之比對後以確認有限模型之準確性,並探討結構之振動特性,最後以麥克風作為感測器進行聲音測試,並對銅罄進行一系列振動與聲音的探討。由結果顯示,以殼元素作為建構有限元素模型之元素較為適合,且經模型驗證後確定模型無誤,並得知銅罄結構之振動模態為環狀模態,而由振動與聲音特性得知銅罄有效自然頻率為前4個頻率,且主頻率為第2個振動模態。本文所分析之方法有助於以後對打擊樂器進行振動與聲學特性之研究。
This work performs the model verification on the copper bowl to obtain its equivalent analytical model that can be used for structural modification design; the sound and vibration characteristics of the copper bowl are also studied. Firstly, to build the copper bowl that used two different elements by the finite element (FE) model and preceed finite element analysis (FEA). And then, carried out the experimental modal analysis (EMA) for the copper bowl; and according to the experimental date, the FE model can be updated to find a more suitable proceed FEA of FE model. Secondly, carrying out the three different sizes of copper on the FEA and EMA, and then comparing the modal parameters to confirm the accuracy of the FE model, and investigating the vibration feature of structure. Lastly, using the microphone sensors to carry out the sound test, and bring out the series investigate of vibration and sound to the copper bowl. The results show that the finite element model constructs by the shell element is more appropriate, and determined model correct by the model validation, and understand the vibration mode is the copper hoop mode, understanding the first four frequency is an effective feature natural by the vibration and sound frequency to the copper, and the main frequency is the second vibration mode. This wore lays out the methodology for percussion instrument study to correlate the sound and vibration properties and will be beneficial to other types of percussion instruments.