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Wavelet-based spectral finite element dynamic analysis for an axially moving Timoshenko beam

机译：轴向运动的Timoshenko光束的基于小波的谱有限元动力学分析

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摘要

In this article, wavelet-based spectral finite element (WSFE) model is formulated for time domain and wave domain dynamic analysis of an axially moving Timoshenko beam subjected to axial pretension. The formulation is similar to conventional FFT-based spectral finite element (SFE) model except that Daubechies wavelet basis functions are used for temporal discretization of the governing partial differential equations into a set of ordinary differential equations. The localized nature of Daubechies wavelet basis functions helps to rule out problems of SFE model due to periodicity assumption, especially during inverse Fourier transformation and back to time domain. The high accuracy of WSFE model is then evaluated by comparing its results with those of conventional finite element and SFE results. The effects of moving beam speed and axial tensile force on vibration and wave characteristics, and static and dynamic stabilities of moving beam are investigated.
机译：在本文中，建立了基于小波的频谱有限元（WSFE）模型，用于轴向移动的Timoshenko梁在轴向预紧力作用下的时域和波域动态分析。除了使用Daubechies小波基函数将控制性偏微分方程在时间上离散为一组常微分方程外，该公式类似于基于FFT的常规频谱有限元（SFE）模型。 Daubechies小波基函数的局部性质有助于排除由于周期性假设而引起的SFE模型问题，尤其是在傅立叶逆变换和时域逆过程中。然后，通过将其结果与常规有限元和SFE结果进行比较，来评估WSFE模型的高精度。研究了动梁速度和轴向拉力对振动和波动特性的影响，以及动梁的静态和动态稳定性。

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