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首页> 外文期刊>Journal of Vibration and Acoustics >Multiharmonic Response Analysis of Systems With Local Nonlinearities Based on Describing Functions and Linear Receptance
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Multiharmonic Response Analysis of Systems With Local Nonlinearities Based on Describing Functions and Linear Receptance

机译:基于描述函数和线性接受度的局部非线性系统的多谐响应分析

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摘要

Direct time integration methods are usually applied to determine the dynamic response of systems with local nonlinearities. Nevertheless, these methods are computationally expensive to predict the steady state response. To significantly reduce the computational effort, a new approach is proposed for the multiharmonic response analysis of dynamical systems with local nonlinearities. The approach is based on the describing function (DF) method and linear receptance data. With the DF method, the kinetic equations are converted into a set of complex algebraic equations. By using the linear receptance data, the dimension of the complex algebraic equations, which should be solved iteratively, are only related to nonlinear degrees of freedom (DOFs). A cantilever beam with a local nonlinear element is presented to show the procedure and performance of the proposed approach. The approach can greatly reduce the size and computational cost of the problem. Thus, it can be applicable to large-scale systems with local nonlinearities.
机译:直接时间积分方法通常用于确定具有局部非线性的系统的动态响应。然而,这些方法在预测稳态响应方面在计算上是昂贵的。为了显着减少计算量,提出了一种新的局部非线性动力系统多谐响应分析方法。该方法基于描述函数(DF)方法和线性接受数据。使用DF方法,将动力学方程式转换为一组复杂的代数方程式。通过使用线性接受数据,应该迭代求解的复数代数方程的维数仅与非线性自由度(DOF)有关。提出了具有局部非线性单元的悬臂梁,以展示所提出方法的过程和性能。该方法可以大大减少问题的大小和计算成本。因此,它可以应用于具有局部非线性的大规模系统。

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