Dynamic Behavior of a Beam Resting on a Viscoelastic Two-Parameter Base and Carrying a Moving Load

IF 0.8 4区地球科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC Radiophysics and Quantum Electronics Pub Date : 2024-09-30 DOI:10.1007/s11141-024-10330-x

V. I. Erofeev, E. E. Lisenkova

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Abstract

We consider the dynamic behavior of a beam with a moving load resting on a deformable base and characterized by two bed coefficients with allowance for dissipative losses. A self-consistent boundary-value problem has been formulated which correctly takes into account the interaction forces in a moving contact. The features of the bending-wave generation by a zero-frequency oscillation source are studied. The critical velocities of the source motion are determined. In the case of low viscosity, the critical velocities do not depend on dissipative losses in the base and are determined by the physical and mechanical properties of the beam and the bed coefficients. An expression for the force due to the wave pressure (the force of resistance to motion) is obtained. The dependence of the constant component of this force on the object velocity and elastic and viscous parameters of the base is studied. The calculation of the energy consumption of the source, which ensures the object motion at a constant velocity, is carried out. When the load moves at a velocity not exceeding the minimum phase velocity of the bending-wave propagation in the beam, the motion-resistance force and the energy consumption are zero and differ from zero in the presence of dissipative losses in the deformable base. A comparison with the results obtained for the one-parameter elastic base of the Fuss-Winkler model is given.

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靠在粘弹性双参数基座上的横梁在承载移动载荷时的动态特性

我们考虑的是在可变形基座上承受移动载荷的梁的动态行为，其特征为两个床系数，并考虑了耗散损失。我们提出了一个自洽边界值问题，该问题正确地考虑了移动接触中的相互作用力。研究了零频振荡源产生弯曲波的特征。确定了源运动的临界速度。在低粘度情况下，临界速度与基座的耗散损失无关，而是由梁的物理和机械特性以及床层系数决定。波压力（运动阻力）的表达式已经得到。研究了该力的恒定分量与物体速度以及底座弹性和粘性参数的关系。计算了确保物体匀速运动的源的能量消耗。当负载的运动速度不超过弯曲波在横梁中传播的最小相位速度时，运动阻力和能量消耗为零，而当可变形基座中存在耗散损失时，运动阻力和能量消耗则与零不同。与 Fuss-Winkler 模型的单参数弹性基座的结果进行了比较。

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来源期刊

Radiophysics and Quantum Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

1.10

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as: Radio astronomy; Plasma astrophysics; Ionospheric, atmospheric and oceanic physics; Radiowave propagation; Quantum radiophysics; Pphysics of oscillations and waves; Physics of plasmas; Statistical radiophysics; Electrodynamics; Vacuum and plasma electronics; Acoustics; Solid-state electronics. Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April. All articles are peer-reviewed.