組件模態合成法於壓縮機及管路系統之振動分析

Component Mode Synthesis Method for Vibration Analysis of Compressor and Pipe System

王栢村(Bor-Tsuen Wang) ； 王皓瑜(Hao-Yu Wang) ； 李維哲(Wei-Zhe Li) ； 楊秉煜(Bing-Yu Yang) ； 張博鈞(Bo-Jun Zhang)

《應用聲學與振動學刊》 11卷1&2期 (2019/12) Pp. 39-45

https://doi.org/10.6282/JASV.201912_11(1_2).0005

摘要

迴轉式壓縮機是空調機的關鍵部件，而連接到壓縮機的吸入管和出口管在振動噪音也是關鍵組件，需要模擬壓縮機和管路系統以檢視振動模態。由於壓縮機和管路系統的完整模型在數值分析中需要大量資源，本文採用組件模態合成法（component mode synthesis, CMS），探討簡化CMS管路模型在管路系統設計變更時，可加速設計過程的可行性。首先構建完整的壓縮機與管路全模型並求解模態參數。接著取得僅壓縮機的CMS邊界模型，並將其併入僅管路模型作為CMS邊界。簡化的CMS管路模型，可以求得其模態參數，並與完整模型進行比較，結果顯示有大致對應。採用CMS的優點，在求得簡化CMS管路模型的振動模態，比完整模型加快許多。因此，可以應用在對具有相同壓縮機的管路進行改善變更設計，求得管路模態特性，以避免運轉中的壓縮機和管路系統的共振。對變更的管路與壓縮機之完整模型也進行模態分析以獲得模態參數，與簡化的CMS管路模型都有相近的模態特性。本文應用CMS於壓縮機和管路系統的振動分析，結果顯示完整模型和簡化CMS模型之間有等效的模態參數，所以CMS是有可行性。在考慮管路與壓縮機的邊界效應時，可採用CMS進行管路分析。簡化的CMS模型求解速度更加有效率，可適用於如本文的管路系統，以及其他復雜結構系統的反覆設計過程。

關鍵字

壓縮機 ； 管路系統 ； 組件模態合成法 ； 振動模態

並列摘要

The rotary compressor is a key component in air conditioner. The suction and outlet pipes connected to the compressor are of great concern in noise and vibration. The simulation of compressor and pipe system to examine vibration modes is desired. The full model for compressor and pipe system may demand large resources in numerical analysis. This work employs the component mode synthesis (CMS) method to investigate the feasibility in using the CMS simplified pipe model for the design modification of pipe system to expedite the design process. The full model is first built and solved for modal parameters. The CMS boundary model of compressor-only is then obtained and incorporated into the pipe-only model as the CMS boundary. The simplified CMS pipe model is solved to obtain the pipe’s modal parameters that are compared to those from the full model and shown reasonable agreement. The advantage of CMS method for obtaining modal solution of the simplified CMS pipe model is much faster than that of the full model. Therefore, the modified pipe layout with the same compressor CMS boundary model can be examined to obtain the pipe system modal properties so as to avoid resonance excitation for compressor and pipe system in operation. The full model of compressor with the new modified pipe is also performed modal analysis to get modal parameters. Both the simplified CMS pipe model and the full model result in the same modal characteristics. This work applies the CMS method to vibration analysis of compressor and pipe system and shows the feasibility in terms of the equivalent modal parameters between the full model and the simplified CMS model. The approach can be adopted for pipe system analysis in considering the boundary effect with the connection to compressor. The solution of simplified CMS model is much more efficient and suitable for iterative design process of such the pipe system as well as for other complex structure systems.

並列關鍵字

Compressor ； Pipe System ； Component Mode Synthesis (CMS) ； Vibration Modes