含非线性边界梁结构频响特征的实验研究

赵 环 迪;王 珺;陈 力 奋

振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 82-89.

PDF(5108 KB)
PDF(5108 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 82-89.
论文

含非线性边界梁结构频响特征的实验研究

  • 赵 环 迪,王 珺,陈 力 奋
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EXPERIMENTAL STUDY OF FREQUENCY RESPONSES IN A BEAM STRUCTURE SUPPORTED WITH NONLINEAR STIFFNESS

  • Zhao Huandi,Wang Jun,Chen Lifen

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摘要

利用实验方法研究含非线性边界的梁结构频响特征。实验对象由一根矩形截面的主梁和二片与之垂直的片梁构成一T字型结构,通过在片梁两端垫放不同厚度的钢尺,使主梁的一端形成不同的几何非线性约束边界,片梁不同程度的预变形改变了主梁静平衡点的位置。实验结果发现,预变形和外激励幅值对系统的非线性频响特征影响显著,随着预变形和外激励幅值的变化,主梁的频响特征呈现出软特性、硬特性和线性特性之间复杂的演变过程。进一步的理论分析表明,预变形的存在使得系统的动力学控制方程同时含有平方和立方非线性,数值计算的结果与上述实验现象相吻合。实验研究和数值计算的结果,宏观上揭示了几何非线性约束边界中的预变形对梁结构频响特征的影响规律。

Abstract

Experimental study of frequency responses in a beam structure supported with nonlinear stiffness is investigated in this paper. The test rig consists of a linear cantilever rectangular beam with its free end held between two thin identical beams. It can generate the different nonlinear supports in the end of the uniform beam by inserting steel rulers into the ends of the thin beams, which results in the different pre-deformation and the drift of the static balance point. We found in the results that, as the pre-deformation and the amplitude of excitation changed, the uniform beam’s dynamic characteristic shifts between soft, hard and linear stiffness. Theoretical analysis shows that pre-deformation of the structure results in the additional nonlinear terms (square and cubic) in the dynamic equation. The above results are also in agreement with numerical simulation. Experimental and theoretical investigation demonstrate that pre-deformation and the amplitude of excitation significantly affect system FRF performance.

关键词

非线性边界 / 预变形 / 频响特征 / 实验研究

Key words

nonlinearity support / pre-deformation / frequency responses / experimental study

引用本文

导出引用
赵 环 迪;王 珺;陈 力 奋. 含非线性边界梁结构频响特征的实验研究 [J]. 振动与冲击, 2015, 34(4): 82-89
Zhao Huandi;Wang Jun;Chen Lifen. EXPERIMENTAL STUDY OF FREQUENCY RESPONSES IN A BEAM STRUCTURE SUPPORTED WITH NONLINEAR STIFFNESS[J]. Journal of Vibration and Shock, 2015, 34(4): 82-89

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