摘要：
傳遞路徑分析是在振動噪聲控制領域被廣泛應用的一種有效方法。傳遞路徑分析中将振動系統分成主動部分、被動部分以及連接主、被動部分的若幹傳遞路徑。在傳遞路徑分析中需要對被動部分的頻響函數進行測量。傳統的傳遞路徑分析需要先拆除子結構然後再測量頻響函數，測試過程十分繁瑣。提出了一種全新的方法來計算子系統的頻響函數，直接由整個系統的頻響函數矩陣推導得到子系統的頻響函數矩陣的計算公式。該方法不需要對子系統進行物理解耦，大大縮短了測量子系統頻響函數所需要的時間。數值算例和實驗均驗證了該方法的正确性和有效性。
Abstract: Transfer path analysis(TPA) is a widely used and effective method in the field of vibration and noise control. In TPA, vibrational systems are divided into the active part, passive part and some transfer paths through which the acive and passive parts are connected. In TPA, it is necessary to measure the frequency response functions(FRFS) of the passive part. In the classical TPA, The substructure needs to be disassembled firstly and then the frequency response function is measured. Therefore, the test process is very cumbersome. In this paper, a novel method is proposed to calculate the FRFs of the subsystem. The formulation of the FRF matrix of the subsystem are derived from the FRF matrix of the whole system directly. Obviously, the proposed method does not require the physical decoupling of subsystems. Consequently, the time required to measure the frequency response function of the subsystem is greatly shorten. The correctness and effectiveness of this method are validated by a numerical case and an experimental case.