Modelling and analysis of the nonlinear string-mass structure of the vibration absorber

IF 1.8 4区数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2020-07-16 DOI:10.1080/13873954.2020.1792510

L. Cvetićanin, M. Zukovic, Z. Rakaric, D. Cveticanin

引用次数: 0

Abstract

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.

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减振器非线性弦质量结构的建模与分析

本文分析了一种非线性弦质量减振器结构。这种结构便于安装在高层建筑的减振系统中，以在地震情况下对其进行保护。所考虑的弦质量结构包含一个与两根弦连接的平移器可移动质量。由于系统的非线性几何性质，用一个强非线性二阶微分方程描述了质量的运动。本文提出了求解非线性运动方程的近似方法。在求解的基础上，研究了串预紧力、滑块质量和摩擦力对串-质量系统振动特性的影响。结果表明，预压管柱力的变化可以作为减振的控制参数和减振时间的调节器。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical and Computer Modelling of Dynamical Systems 数学-计算机：跨学科应用

CiteScore

3.80

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.