Modal interaction activations and nonlinear dynamic response of shallow arch with both ends vertically elastically constrained for two-to-one internal resonance-Reference-Cited by-同舟云学术

Modal interaction activations and nonlinear dynamic response of shallow arch with both ends vertically elastically constrained for two-to-one internal resonance

Published:2014-10 Issue:21 Volume:333 Page:5511-5524
ISSN:0022-460X
Container-title:Journal of Sound and Vibration
language:en
Short-container-title:Journal of Sound and Vibration

Author:

Yi Zhuangpeng,Wang Lianhua,Kang Houjun,Tu Guangya

Funder

National Natural Science Foundation of China

New Century Excellent Talents in University

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference28 articles.

1. Non-linear dynamic response of shallow arches to harmonic forcing;Blair;Journal of Sound and Vibration,1996

2. Global dynamic stability of a shallow arch by Poincare-like simple cell mapping;Levitas;International Journal of Non-Linear Mechanics,1997

3. Effects of a low frequency parametric excitation;Lakrad;Chaos, Solitons and Fractals,2004

4. Global bifurcation analysis and chaos of an arch structure with parametric and forced excitation;Zhou;Mechanics Research Communications,2010

5. Modified shooting approach to the non-linear periodic forced response of isotropic/composite curved beams;Ibrahim;International Journal of Non-Linear Mechanics,2009

Cited by 24 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlinear coupled vibration of an arch-beam structural system;Communications in Nonlinear Science and Numerical Simulation;2024-11

2. Modal truncation method for continuum structures based on matrix norm: modal perturbation method;Nonlinear Dynamics;2024-05-11

3. Nonlinear vibration of pinned FGP-GPLRC arches under a transverse harmonic excitation: A theoretical study;Thin-Walled Structures;2023-11

4. Sub-harmonic and simultaneous resonance instability of a thin-walled arch under a vertical base excitation at two frequencies;Thin-Walled Structures;2023-10

5. Nonlinear vibration analysis of a shallow arch coupled with an elastically constrained rigid body;Nonlinear Dynamics;2023-04-18