A united solution procedure for eigenvalue perturbation problem in structuralvibrationanalysis of continuous systems is proposed with the aid of operator operation.
The extended transfer matrix of the structuralvibrationanalysis is derived by using the expansion to the transfer matrix to solve structural dynamic characteristic analysis.
对求解结构固有频率的传递矩阵进行扩阶，推导了链式机械系统振动分析的扩阶传递矩阵算式。
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Thus, the safe operation and prolongation of the service life urgently motivate the research on the structuralvibrationanalysis, health diagnosis and safe assessment for submarine pipelines.