Abstract：Framed structures in engineering are often subjected to periodic loads. A spatial autoparametric resonance of the framed structure may occur under periodic loads. The numerical and experimental methods were used to investigate the stability of spatial autoparametric resonances of framed structures. The theoretical formulation for the spatial dynamic instabilities of general frame structures is given based on the Hamilton principle. Newmark’s method is used to solve the unstable displacement response. The stability boundaries for parametric resonances of the framed structures are determined by using the energy-growth exponent (EGE). In addition, an experiment of spatial autoparametric resonance is first conducted for a framed structure. The stability boundaries of spatial autoparametric internal resonance and non-internal resonance are numerically and experimentally determined and compared. The numerical stability boundaries agree well with the experimental results. The results indicate that a small external excitation can excite the large-amplitude spatial autoparametric resonances of a framed structure. The unstable domain of the autoparametric internal resonance is much larger than that of the non-internal (normal circumstances) parametric resonance. The risk of spatial autoparametric internal resonance should be especially emphasized and avoided in the design of framed structures.
Key words: framed structures; spatial dynamic instability; parametric resonances; numerical method; experimental method
刘伟，沈超，于越，李遇春. 框架结构空间自参数共振的实验与数值研究[J]. 振动与冲击, 2022, 41(21): 78-85.
LIU Wei, SHEN Chao, YU Yue, LI Yuchun. Experimental and numerical studies on spatial self-parametric resonance of frame structure. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(21): 78-85.
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