Abstract:The out-of-plane dynamic instabilities of (hinged) portal frame structures are experimentally studied. A new non-contact excitation method is used to study the autoparametric internal resonance and autoparametric non-internal resonance of the portal frames. The phenomenon and mechanism of out-of-plane instability of portal frame structure are observed and analyzed, respectively. The unstable domains of autoparametric resonance are measured and investigated. The results show that when the frequency of periodic excitation applied to the horizontal beam is approximately equal to twice the natural frequency of the column, the vibration of the horizontal beam will be used as a parametric excitation to stimulate the out-of-plane principal parametric resonance (dynamic instability) of the column. If the natural frequency of the horizontal beam is about twice that of the column, the portal frame will occur out-of-plane autoparametric internal resonance. Comparing the unstable domains of autoparametric internal resonance and non-internal resonance, it is found that the unstable domains of the former covers a larger area, indicating that autoparametric internal resonance is easier to trigger and more harmful than the non-internal resonance. Therefore, more attention should be paid to the risk of autoparametric resonance, especially autoparametric internal resonance in the design of portal frame structures, so as to avoid the out-of-plane dynamic instability of the structure.
Key words: portal frame structure; out-of-plane dynamic instability; autoparametric resonance; internal resonance; unstable domains
沈超,张愿,李遇春. 门式框架结构平面外的动力失稳试验研究[J]. 振动与冲击, 2022, 41(20): 151-157.
SHEN Chao, ZHANG Yuan, LI Yuchun. Experimental study for the out-of-plane dynamic instabilities of portal frame structures. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(20): 151-157.
[1] Xie WC. Dynamic stability of structures [M]. Cambridge University Press, 2006.
[2] Clough RW, Penzien J. Dynamics of Structures [M], Third Edition, Computers & Structures, Inc. Berkeley, 2003.
[3] Bolotin VV. The dynamic stability of elastic systems [J]. American Journal of Physics ,1965,33(9):752-753.
[4] Majorana CE, Pellegrino CD. Dynamic stability of elastically constrained beams: an exact approach [J]. Engineering Computations, 1997; 14(7): 792-805. http://doi.org/10.1108/02644409710188709
[5] Mishra UK, Sahu SK. Parametric Instability of Beams with Transverse Cracks Subjected to Harmonic In-Plane Loading [J]. International Journal of Structural Stability and Dynamics, 2015, 15 (1).
[6] Fu XH. Dynamic trajectory and parametric resonance in coupled pendulum-beam system[J]. Journal of Physics Research,2020, 626-639.
[7] CARBONI B, CATARCI S, LACARBONARA W. Parametric resonances of nonlinear piezoelectric beams exploiting in-plane actuation [J]. Mechanical Systems and Signal Processing, 2021,163.
[8] Catellani G, Pellicano F, Dall’Asta D,et al. Parametric instability of a circular cylindrical shell with geometric imperfections [J]. Computers and Structures, 2004, 82(31).
[9] 钟子林, 刘爱荣. 矩形薄板的参数共振失稳理论与试验[J].实验室研究与探索, 2019, 38(07): 26-33.
Zhong ZL, Liu AR. Analytical and experimental research of parametric resonance [J]. Research and Exploration in Laboratory, 2019, 38(07): 26-33.
[10] Tondl A, Ruijgrok M, Verhulst F,et al. Auto-parametric Resonance in Mechanical Systems [M]. Cambridge University Press, Cambridge, 2000.
[11] Xia Y, Fujino Y. Auto-parametric vibration of a cable-stayed-beam structure under random excitation [J]. Journal of Engineering Mechanics 2006; 132(3): 279-286.
[12] 陈丕华,王修勇,陈政清,等.斜拉索面内参数振动的理论和试验研究[J].振动与冲击, 2010, 29(02): 50-53+220.
Chen PH, Wang XY. Chen ZQ, et al. Theoretical and experimental study on planar oscillations in a stayed-cable [J]. Journal of Vibration and Shock, 2010, 29(02): 50-53+220.
[13] 王涛,刘德贵,黄辉.大跨度铁路斜拉桥全桥索-梁相关振动研究[J].振动与冲击, 2019, 38(17): 103-114.
Wang T, Liu DG, Huang H. Cable-beam Related Vibration of A Long Span Railway Cable-stayed Bridge [J]. Journal of Vibration and Shock, 2019,38(17):103-114.
[14] Li YC, Gou HL, Zhang L,et al. Auto-parametric resonance of framed structures under periodic excitations [J]. Structural Engineering and Mechanics 2017; 61(4): 497-510. http://doi.org/10.12989/sem.2017.61.4.497
[15] Li YC, Liu W, Shen C,et al. Experimental and numerical analyses for auto-parametric internal resonance of a framed structure [J]. International Journal of Structural Stability and Dynamics 2021; 21(1): 2150012. https://doi.org/10.1142/S0219455421500127