Static and Dynamic Nonlinear In-plane Effect in the Response of a Cantilevered Plate with Tip Mass Load: Theory and Experiment
Static and Dynamic Nonlinear In-plane Effect in the Response of a Cantilevered Plate with Tip Mass Load: Theory and Experiment
复制标题
具有尖端质量载荷的悬臂板响应中的静态和动态非线性面内效应：理论与实验
DOI：
10.1115/1.4055304
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Luisa Piccolo Serafim, Everett H.
中科院分区：
文献类型：
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作者：
Luisa Piccolo Serafim, Everett H.
在这篇文章中，两个非线性效应进行了研究。一个是静态刚度非线性在改变线性动态固有频率中的作用，另一个是非线性刚度和非线性惯性效应的组合在改变由于系统的初始释放状态的改变而引起的非线性动态瞬态响应中的作用。利用梁理论建立了一个长宽比在一定范围内的悬臂薄板的理论模型，模型中同时考虑了刚度和惯性非线性。利用拉格朗日方程推导了非线性惯性和刚度矩阵。这些非线性元件如何影响梁的响应的一些见解。使用不同的配置和尖端质量值进行了悬臂薄板的锤击试验和释放试验测量。采用线性和非线性理论模型进行静态和动态分析的结果表明，理论和实验之间的固有频率和振幅位移随时间的变化很好的协议。
In this article, two nonlinear effects are investigated. One is the effect of the static stiffness nonlinearity in changing the linear dynamic natural frequency, and the other is the combination of nonlinear stiffness and nonlinear inertia effects in changing the nonlinear dynamic transient response due to a change in the initial release state of the system. A theoretical model has been developed for a cantilevered thin plate with a range of length-to-width ratio using beam theory and considering both stiffness and inertial nonlinearities in the model. Lagrange's equation was used to deduce nonlinear inertia and stiffness matrices for a modal representation. Some insights into how these nonlinear components influence the beam response are presented. Measurements with both a hammer test and also a release test of cantilevered thin plates were done using different configurations and tip mass values. Results from static and dynamic analyses using the linear and the nonlinear theoretical models show good agreement between theory and experiment for natural frequencies and the amplitude displacements versus time.