Modelling and analysis of the nonlinear string-mass structure of the vibration absorber. Issue 5 (2nd September 2020)

• Record Type: Journal Article
• Authors: Cveticanin, L.; Zukovic, M.; Rakaric, Z.; Cveticanin, D.
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 26:Issue 5(2020)
• Page Start: 500
• Page End: 519
• Publication Date: 2020-09-02
• Subjects: Nonlinear vibration -- preloading force of the string -- Ateb function -- dynamics of string structure -- vibration mitigation; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2020.1792510
• Languages: English
• ISSNs: 1387-3954

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.