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本文给出了离散系统动态载荷识别的一种新的时域分析方法，它是用正分析的手段来求解反问题的。在实测信息自由度数不少于待识别荷载自由度数的前提下，本方法克服了传统作法￣［５］～［９］中识别精度受测量信息数目限制的缺点。文中算例表明，只要实测信息真实，那么在理论上本文方法将得到精确解。此外，本文应用奇异值分解技术来求解矛盾方法组，这样即使在系数阵秩亏损的情况下，仍可求得最短范数的最小二乘解。
This paper presents a new time domain analysis method for dynamic load identification of discrete systems. It uses positive analysis to solve inverse problems. Under the premise that the degree of freedom of measured information is not less than the number of degrees of freedom of the load to be identified, this method overcomes the disadvantages of the limitation of the number of measurement information in the recognition accuracy of the conventional methods [5]-[9]. The examples in the paper show that, as long as the measured information is true, then this method will theoretically be solved accurately. In addition, the singular value decomposition technique is used in this paper to solve the contradictory method set, so that the least-squares solution with the shortest norm can be obtained even if the coefficient matrix rank is deficient.