Forced Nonlinear Bending Vibrations of Beams with Two Breathing Cracks

被引：0

作者：

Avramov, K. ^{[1
,2
,3
]}

Malyshev, S. ^{[4
]}

Miroshnikov, V ^{[1
]}

Hariachevska, I ^{[5
]}

机构：

[1] Natl Aerosp Univ N Ye Zhukovsky KhAI, Kharkiv, Ukraine

[2] Natl Acad Sci Ukraine, Anatolii Pidhornyi Inst Mech Engn Problems, Kharkiv, Ukraine

[3] Kharkiv Natl Univ Radio Elect, Kharkiv, Ukraine

[4] Natl Tech Univ, Kharkiv Polytech Inst, Kharkiv, Ukraine

[5] Kharkov Natl Univ, Kharkiv, Ukraine

来源：

INTEGRATED COMPUTER TECHNOLOGIES IN MECHANICAL ENGINEERING-2023, VOL 1, ICTM 2023 | 2024年 / 1008卷

关键词：

nonlinear bending vibrations; cracked beam; bifurcation behavior; EULER-BERNOULLI BEAM; OSCILLATIONS; BIFURCATIONS;

D O I：

10.1007/978-3-031-61415-6_2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The nonlinear bending vibrations of the cracked beams are studied. The beam structure has two breathing cracks, which are described by two contact parameters. The nonlinear beam vibrations are described by finite degrees of freedom nonlinear dynamical system, which are derived by using the Galerkin technique. The numeric continuation method is implemented to study the nonlinear forced vibrations of beams. The bifurcation behavior of forced vibrations is analyzed numerically. The period-doubling bifurcations and the Naimark-Sacker bifurcations of the cracked beam are analyzed.

引用

页码：15 / 24

页数：10

共 20 条

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