Control of resonant oscillations of viscoelastic systems

IF 0.7 Q4 MECHANICS Theoretical and Applied Mechanics Pub Date : 2023-01-01 DOI:10.2298/tam220510007s
Ismoil Safarov, Muhsin Teshaev
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Abstract

Structures in the form of cylindrical ribbed shells and panels are widely used in engineering and construction. The problem of the action of moving loads on an infinitely long cylindrical shell, reinforced along the outer surface with longitudinal stiffeners and containing a viscoelastic inertial filler, is considered. The moving load is transferred to the shell only through the ribs, and there is no load outside the ribs. The discreteness of the location of the ribs is taken into account by writing the equations of motion of the beams, followed by the satisfaction of the conjugation conditions. The influence of the number and stiffness of ribs on the nature of the distribution of shell displacements and contact pressure at the boundary of a viscoelastic filler is shown. The movement of the shell is described by classic equations based on the Kirchhoff-Love hypothesis; for the filler, dynamic equations of the theory of visco-elasticity are used. It has been established that the reinforcement of shells with longitudinal ribs (oscillations of a cantilevered cylindrical shell) leads to a decrease in natural frequencies and damping coefficients in some shells, an increase in the density of the spectrum of natural frequencies, and the appearance of intermediate forms and forms with the same wave numbers, but with different frequencies. External forces increase natural frequencies and damping coefficients. It is found that the frequencies for the inner edges are lower than for the outer edges. In the high-frequency zone, any efforts reduce the natural frequencies and the damping coefficient. This means that additional mass plays a more significant role than additional rigidity. Consequently, the longitudinal strengthening of the shell worsens its dynamic properties.
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粘弹性系统的共振振动控制
圆柱肋壳和肋板形式的结构在工程和建筑中应用广泛。研究了沿外表面加纵向加强筋并含有粘弹性惯性填料的无限长圆柱壳的运动荷载作用问题。移动荷载仅通过肋部传递给壳体,肋部外无荷载。通过编写梁的运动方程,考虑肋位置的离散性,然后满足共轭条件。研究了肋数和刚度对粘弹性填料边界处壳体位移和接触压力分布性质的影响。壳的运动用基于Kirchhoff-Love假设的经典方程来描述;对于填料,采用粘弹性理论的动力学方程。结果表明,纵向肋壳(悬臂圆柱壳的振动)的加固会导致某些壳的固有频率和阻尼系数降低,固有频率谱密度增加,出现中间形式和波数相同但频率不同的形式。外力增加固有频率和阻尼系数。结果表明,内边缘的频率比外边缘的频率低。在高频区,任何努力都会降低固有频率和阻尼系数。这意味着额外的质量比额外的刚度起着更重要的作用。因此,壳的纵向强化使其动力性能恶化。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
32 weeks
期刊介绍: Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.
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