Energy pumping with various nonlinear structures: Numerical evidences

被引：60

作者：

Gourdon, E ^{[1
]}

Lamarque, CH ^{[1
]}

机构：

[1] Ecole Natl Travaux Publ Etat, LGM, CNRS, UMR 1652, F-69518 Vaulx En Velin, France

来源：

NONLINEAR DYNAMICS | 2005年 / 40卷 / 03期

关键词：

building vibrations; nonlinear energy pumping; piecewise linear system; stochastic excitation; transient chaos;

D O I：

10.1007/s11071-005-6610-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Numerical investigations are carried out on a linear structure, weakly coupled to a small nonlinear attachment. The essential nonlinearity of the attachment enables it to resonate with any of the linearized modes of the structure leading to energy pumping, i.e. passive, one-way, irreversible transfer of energy from the structure to the attachment. Different nonlinear structures (piecewise linear system, chaotic system) and efficiency of energy pumping are studied in each case in order to be able to apply it to civil engineering. As a specific application, attenuation of vibrations of a building is studied with two building models. In particular, the case of stochastic excitations is analyzed to examine if it is possible to process energy pumping when a seism occurs and an indicator of efficiency has been introduced.

引用

页码：281 / 307

页数：27

共 23 条

[1]

Ahmadi G, 1990, PROBALISTIC ENG MECH, V5, P171

[2]

[Anonymous], 2012, Practical numerical algorithms for chaotic systems

[3]

Cepa E., 1995, LECT NOTES MATH SEM, V1613, P86

[4] Pendulum as vibration absorber for flexible structures: Experiments and theory [J].

Cuvalci, O ;

Ertas, A .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1996, 118 (04) :558-566

[5] A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities [J].

Gendelman, O ;

Manevitch, LI ;

Vakakis, AF ;

Bergman, L .

NONLINEAR DYNAMICS, 2003, 33 (01) :1-10

[6] Energy pumping in nonlinear mechanical oscillators: Part I - Dynamics of the underlying Hamiltonian systems [J].

Gendelman, O ;

Manevitch, LI ;

Vakakis, AF ;

M'Closkey, R .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2001, 68 (01) :34-41

[7] Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators [J].

Gendelman, OV .

NONLINEAR DYNAMICS, 2001, 25 (1-3) :237-253

[8]

Guckenheimer J., 1983, NONLINEAR OSCILLATIO, V42

[9]

Kanai K., 1957, Bulletin of the Earthquake Research Institute, V35, P309

[10]

KARYEACLIS MP, 1989, ASME, V56, P926

← 1 2 3 →