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Experimental and numerical studies on nonlinear vibrations and dynamic snap-through phenomena of bistable asymmetric composite laminated shallow shell under center foundation excitation
European Journal of Mechanics - A/Solids ( IF 4.4 ) Pub Date : 2021-05-08 , DOI: 10.1016/j.euromechsol.2021.104303
M.Q. Wu , W. Zhang , Y. Niu

This paper experimentally and numerically investigates the nonlinear vibrations and dynamic snap-through behaviors of the bistable asymmetric carbon fiber-reinforced [90n/0n] composite laminated shallow shell. In the experimental research, in order to produce the dynamic snap-through phenomena, the center of a bistable asymmetric composite laminated shallow shell is clamped on an electromechanical shaker. The shaker provides the controlled frequency and amplitude of the foundation excitation. A laser displacement testing system collects the data of the vibration signals for the bistable asymmetric composite laminated shallow shell. A high-speed camera captures the steady-state vibrations of the bistable asymmetric composite laminated shallow shell. The experimental results demonstrate the influence of the structural parameters on the dynamic snap-through phenomena and nonlinear vibrations of the bistable asymmetric composite laminated shallow shell. The amplitude-frequency response curves are obtained by the experimental results. The bifurcation diagrams, phase portraits, time histories, power spectrums, and Poincaré maps are obtained to experimentally and numerically illustrate the single-well periodic, chaotic and double-well chaotic vibrations of the bistable asymmetric composite laminated shallow shell under the center foundation excitation. In numerical research, ABAQUS/CAE is used to simulate the dynamic responses of the bistable asymmetric composite laminated shallow shell. The subspace iteration method is utilized to give the vibration modal analysis. The vibration modes in the experimental research are qualitatively consistent with the results of the ABAQUS numerical simulation. The phenomenon of the energy transfer from the high-order to low-order primary resonance is discovered. The results of the experiment and numerical simulation are well verified with each other.



中文翻译:

中心地基激励下双稳态非对称复合层状薄壳非线性振动和动力捕捉现象的实验和数值研究

本文通过实验和数值研究非线性振动双稳态不对称碳纤维增强[90n / 0n]复合材料叠层浅壳的动力学和动态捕捉性能。在实验研究中,为了产生动态捕捉现象,将双稳态不对称复合叠层浅壳的中心夹在机电振动器上。振动器提供了基础激励的受控频率和幅度。激光位移测试系统收集双稳态不对称复合材料叠层浅壳的振动信号数据。高速摄像机捕获双稳态不对称复合叠层浅壳的稳态振动。实验结果表明,结构参数对双稳态非对称复合层合浅壳的动态捕捉特性和非线性振动的影响。通过实验结果获得了幅频响应曲线。这获得分叉图,相图,时间历史,功率谱和庞加莱图,以实验和数字方式说明在中心基础激励下双稳态非对称复合层状浅壳的单井周期,混沌和双井混沌振动。在数值研究中,ABAQUS / CAE用于模拟双稳态不对称复合材料叠层浅壳的动力响应。利用子空间迭代法进行振动模态分析。实验研究中的振动模式在质量上与ABAQUS数值模拟的结果一致。能量从高阶转移到低阶的现象发现了初级共振。实验结果与数值模拟相互验证。

更新日期:2021-05-17
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