A combination nonlinear dynamic reduction method is developed to obtain the steady-state dynamic responses of the complex jointed structures having local hysteresis nonlinearity. The harmonic balance method is used to reformulate the nonlinear dynamical governing equations as a set of nonlinear algebraic equations. The local nonlinearity transformation reduction strategy is used to decrease the dimensions of the nonlinear algebraic equations to improve the computational efficiency by defining the local nonlinear contact forces as iteration vector. The transfer functions only related to nonlinear joints are extracted to connect the local nonlinear dynamic responses with the local nonlinear contact forces and external excitations. The Newton’s iteration with the arc-length continuation is then used to obtain the nonlinear solutions. Comparison with the nonlinear dynamic analysis methods in the literature is performed to validate the proposed method by using a lap-type bolted joint beam system and a complex jointed structure. The good agreement of the comparison results of two examples validates the proposed method, and indicates a higher computational efficiency with much less computational costs. Combined with the finite element analysis, the proposed method indicates a potential performance of the nonlinear dynamic analysis of the large-scale complex engineering structures.

为了获得具有局部磁滞非线性的复杂节理结构的稳态动力响应，提出了一种组合非线性动力降阶方法。谐波平衡法用于将非线性动力学控制方程式重新设置为一组非线性代数方程式。通过将局部非线性接触力定义为迭代向量，使用局部非线性变换减少策略来减小非线性代数方程的维数，从而提高计算效率。提取仅与非线性关节有关的传递函数，以将局部非线性动力响应与局部非线性接触力和外部激励联系起来。然后使用具有弧长连续性的牛顿迭代法来获得非线性解。通过使用搭接式螺栓连接梁系统和复杂的连接结构，与文献中的非线性动力分析方法进行了比较，以验证所提出的方法。两个示例的比较结果的良好一致性验证了该方法的有效性，并表明该方法具有较高的计算效率，而计算成本却低得多。结合有限元分析，所提出的方法表明了大型复杂工程结构非线性动力分析的潜在性能。并表示更高的计算效率，而计算成本却低得多。结合有限元分析，所提出的方法表明了大型复杂工程结构非线性动力分析的潜在性能。并表示更高的计算效率，而计算成本却低得多。结合有限元分析，所提出的方法表明了大型复杂工程结构非线性动力分析的潜在性能。