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在实际工程中采用虚拟激励法(pseudo excitation method,PEM)往往需要编写复杂计算程序,为方便工程应用,建立了一种对应单点和多点荷载输入的虚拟激励法实用求解模式。考虑地震作用、风荷载等多种随机荷载,提取单点和多点荷载输入下计算结构虚拟响应的实用求解模式,并利用常规有限元分析软件的谐振稳态分析完成PEM核心计算,最后通过线性组合重新构建结构虚拟响应和功率谱密度函数的求解公式,从而在常规有限元分析软件中实现了PEM算法。由于采用建议方法可将PEM算法的核心计算交由有限元分析软件完成,在保持PEM高效准确计算优势的前提下显著提高了工作效率,避免了编写复杂计算程序,方便实际工程应用。通过两个典型数值算例验证了建议方法的正确性与有效性,并且指出其对于多种荷载工况的计算效率具有一定优势。
In the actual project, pseudo excitation method (PEM) usually needs to write complicated calculation program. For the convenience of engineering application, a practical solution mode of virtual excitation method is proposed, which is corresponding to single point and multi-point load input. Considering the earthquake action, wind load and many other random loads, the practical solution mode of calculating the virtual response of the structure under single-point and multi-point load extraction is extracted, and the PEM core calculation is completed by the resonance steady-state analysis of the conventional finite element analysis software. Finally, The reconstruction formula of structural virtual response and power spectral density function is combined to realize the PEM algorithm in the conventional finite element analysis software. Due to the adoption of the proposed method, the core calculation of PEM algorithm can be completed by finite element analysis software, and the work efficiency is obviously improved while maintaining the advantages of PEM calculation with high efficiency and accuracy. The complicated calculation procedure is avoided and the practical engineering application is facilitated. Two typical numerical examples are given to verify the correctness and validity of the proposed method and to point out that it has some advantages for the computational efficiency of multiple load cases.