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将传递矩阵法与Newmark-β法相结合，研究了变截面圆拱强迫振动的时程计算问题。首先用New-mark-β法将连续体强迫振动的偏微分方程转化为增量形式的常微分方程，然后根据传递矩阵原理求解该常微分方程，得到结构在时间增量段内的动力响应。在上述算法的基础上，根据等截面圆拱强迫振动的偏微分方程，推导了时间增量段内等截面圆拱强迫振动的传递矩阵的显式表达形式，编制了变截面圆拱强迫振动时程分析的计算程序，并进行了相应的算例分析，所得结果表明该方法是正确、有效的。该法具有计算简单、节约内存的优点，可方便地应用于这类问题的实际工程计算。
The transfer matrix method is combined with the Newmark-β method to study the time-history calculation of the forced vibration of a variable cross-section circular arch. Firstly, the partial differential equation of forced vibration of continuum is transformed into an incremental form of ordinary differential equation by New-mark-β method, and then the ordinary differential equation is solved according to transfer matrix principle to obtain the dynamic response of the structure in time increment. Based on the above algorithm, according to the partial differential equation of forced vibration of circular arch with equal cross section, the explicit expression of transfer matrix of circular vibration with constant cross section is deduced. Cheng analysis of the program, and carried out a corresponding case analysis, the results show that the method is correct and effective. The method has the advantages of simple calculation and memory saving, and can be conveniently applied to the actual engineering calculation of such problems.