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首页> 外文期刊>Mechanical systems and signal processing >A new method for measuring nonharmonic periodic excitation forces in nonlinear damped systems
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A new method for measuring nonharmonic periodic excitation forces in nonlinear damped systems

机译：一种测量非线性阻尼系统非谐波周期激励力的新方法

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摘要

The purpose of this study is to identify an external loading of long time duration, which is nonharmonic but periodic, acting on a nonlinear dynamic system with nonlinear restoring as well as nonlinear damping. A new procedure is proposed for the force identification through an inverse formalism. However, this involves a Volterra-type nonlinear integral equation of the first kind, which lacks solution stability. Therefore, the nonlinear dynamic system under investigation is transformed into a linear relation between forces and pseudo-displacements. The lack of solution stability is resolved by applying available regularization methods. The feasibility of the force identification is demonstrated through a numerical example.
机译：这项研究的目的是确定长时间持续的外部负载，该负载是非谐但周期性的，作用于具有非线性恢复和非线性阻尼的非线性动力系统。提出了一种通过逆形式主义进行力识别的新程序。但是，这涉及第一类Volterra型非线性积分方程，该方程缺乏解稳定性。因此，所研究的非线性动力系统被转换为力与拟位移之间的线性关系。解决方案稳定性不足的问题可通过应用可用的正则化方法来解决。通过数值实例证明了力识别的可行性。

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