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Modelling and analysis of the nonlinear string-mass structure of the vibration absorber
Mathematical and Computer Modelling of Dynamical Systems ( IF 1.8 ) Pub Date : 2020-07-16 , DOI: 10.1080/13873954.2020.1792510
L. Cveticanin 1, 2 , M. Zukovic 1 , Z. Rakaric 1 , D. Cveticanin 3
Affiliation  

ABSTRACT In this paper a nonlinear string-mass structure of the vibration absorber is analyzed. This structure is convenient to be installed in vibration damping systems of high buildings for their protection in the case of earthquake. The considered string-mass structure contains a translator movable mass connected with two strings. Due to nonlinear geometric properties of the system the motion of the mass is described with a strong nonlinear second order differential equation. In the paper the approximate procedure for solving of the nonlinear equation of motion is developed. Based on the solution the influence of the string preloading force, slider mass and friction force on the vibration property of the string-mass system is investigated. It is concluded that variation of the preloading string force may be applied as a control parameter for vibration absorption and as the regulator of vibration decay time.

中文翻译:

减振器非线性弦质量结构建模与分析

摘要 本文分析了减振器的非线性弦质量结构。这种结构便于安装在高层建筑的减振系统中,以便在发生地震时起到保护作用。所考虑的弦质量结构包含一个与两个弦连接的平移器可移动质量。由于系统的非线性几何特性,质量的运动用强非线性二阶微分方程描述。在本文中,开发了求解非线性运动方程的近似程序。在求解的基础上,研究了弦预紧力、滑块质量和摩擦力对弦-质量系统振动特性的影响。
更新日期:2020-07-16
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