Analysis on nonlinear vibration of breathing cracked beam

被引：33

作者：

Wei, Chenxi ^{[1
]}

Shang, Xinchun ^{[1
,2
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China

[2] Univ Sci & Technol Beijing, Natl Ctr Mat Serv Safety, Beijing 100083, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2019年 / 461卷

基金：

中国国家自然科学基金; 国家高技术研究发展计划(863计划);

关键词：

Cracked beam; Breathing effect; Transfer matrix method; Super-resonance; CANTILEVER BEAM; IDENTIFICATION; LOCATION;

D O I：

10.1016/j.jsv.2019.114901

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The nonlinear behaviors of breathing cracked beam vibration are investigated. A continuous model based on Timoshenko beam theory is established, whose breathing effect is described by signal function in mathematics to simulate bilinear stiffness. A semi-analytical approach to solve the problem is developed by spatial difference discretization and transfer matrix method, in which local linearization and the Pade approximation are employed. The numerical results of validated examples have good agreement with experiments and FEM. As a typical indicator to breathing crack, the super-resonance responses under harmonic and fast frequency-sweep excitation are analyzed, such as waveforms, phase portraits and FFT results. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：16

共 35 条

[1] Experimental damage detection of cracked beams by using nonlinear characteristics of forced response [J].

Andreaus, U. ;

Baragatti, P. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 31 :382-404

[2] Non-linear dynamics of a cracked cantilever beam under harmonic excitation [J].

Andreaus, Ugo ;

Casini, Paolo ;

Vestroni, Fabrizio .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2007, 42 (03) :566-575

[3] Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response [J].

Andreaus, Ugo ;

Baragatti, Paolo .

JOURNAL OF SOUND AND VIBRATION, 2011, 330 (04) :721-742

[4] Bifurcations and chaotic forced vibrations of cantilever beams with breathing cracks [J].

Avramov, K. ;

Malyshev, S. .

ENGINEERING FRACTURE MECHANICS, 2019, 214 :289-303

[5] Vibrations of a nonlinear mechanical system simulating a cracked body [J].

Bovsunovskii A.P. .

Strength of Materials, 2001, 33 (04) :370-379

[6] APPLICATION OF NONLINEAR RESONANCES FOR THE DIAGNOSTICS OF CLOSING CRACKS IN RODLIKE ELEMENTS [J].

Bovsunovskii, A. P. ;

Bovsunovskii, O. A. .

STRENGTH OF MATERIALS, 2010, 42 (03) :331-343

[7] The effect of damping and force application point on the non-linear dynamic behavior of a cracked beam at sub- and superresonance vibrations [J].

Bovsunovskii A.P. ;

Surace C. ;

Bovsunovskii O.A. .

Strength of Materials, 2006, 38 (5) :492-497

[8]

Bovsunovskii A.P., 1999, STRENGTH MAT, V31, P253

[9] Non-linearities in the vibrations of elastic structures with a closing crack: A state of the art review [J].

Bovsunovsky, A. ;

Surace, C. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2015, 62-63 :129-148

[10]

Bovsunovsky AP, 2000, J SOUND VIB, V235, P415, DOI 10.1006/jsvi.1999.2930

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