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An improved nonlinear dynamic reduction method for complex jointed structures with local hysteresis model

机译：具有局部滞后模型的复杂关节结构的改进的非线性动力减少方法

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摘要

An improved nonlinear dynamic reduction with the harmonic balance method is developed to approximate the steady-state vibration responses of the complex jointed structures having local hysteresis nonlinearity. The modal superposition method combined with the static stiffness compensation is used to degrade the mode truncation effects on the transfer functions by using only one concerned dominant mode. The local nonlinearity transformation reduction is used to decrease the dimensions of nonlinear algebraic equations and iteration matrix by defining the local nonlinear contact forces as the iteration vector. The transfer functions only related to the nonlinear joints are extracted to connect the local nonlinear dynamic responses with the local nonlinear contact forces and external excitations. The local nonlinear contact forces are consequently updated. The discrepancy between the given local nonlinear contact forces and updated ones is used to construct the residual error functions to update the iteration vector to obtain the nonlinear solutions. Comparison with the generalized modal superposition and full order 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 comparison results of two examples validates the proposed method, and indicates a higher computational efficiency. The effective construction of the transfer functions plays a critical role in predicting the steady-state nonlinear dynamic responses of the complex jointed structures, and consumes a lot of computational costs.
机译：利用谐波平衡法的改进的非线性动态降低是开发的，以近似具有局部滞后非线性的复合结构的稳态振动响应。与静态刚度补偿结合的模态叠加方法用于通过仅使用一个有关的主导模式来降低对传输功能的模式截断效果。局部非线性变换减少用于通过定义作为迭代载体的局部非线性接触力来降低非线性代数方程和迭代矩阵的尺寸。仅提取与非线性接头相关的传递函数，以将局部非线性接触力和外部激发器连接到局部非线性动力响应。因此更新了局部非线性接触力。给定局部非线性接触力和更新的差异用于构造残余误差函数以更新迭代向量以获得非线性解决方案。与文献中的通用模态叠加和完整订单方法的比较是通过使用LAP型螺栓连接梁系统和复杂的连接结构来验证所提出的方法。两个例子的比较结果的良好一致性验证了所提出的方法，并表明计算效率更高。转移函数的有效结构在预测复杂的连接结构的稳态非线性动态响应中起着关键作用，并且消耗了大量的计算成本。

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