中空玻璃在动荷载作用下的主参数共振分析

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (19) : 188-193.

论文

中空玻璃在动荷载作用下的主参数共振分析

潘应桂1，田水1，谷倩1，刘治国1，胡飞2，成鹏2，彭云涛2

作者信息 +

Resonance analysis of main parameters of insulating glass under dynamic load

PAN Yinggui1, TIAN Shui1, GU Qian1, LIU Zhiguo1, HU Fei2, CHENG Peng2, PENG Yuntao2

Author information +

文章历史 +

摘要

在考虑动荷载作用下中空玻璃空腔体积改变与空腔内气体压强的关系，玻璃的双模量特性、大挠度变形时玻璃的中面拉力、玻璃的阻尼以及惯性力等因素的基础上，利用静力平衡方程、几何变形方程及物理方程，建立了玻璃的动力学方程；在动荷载作用下，考虑中空玻璃空腔体积改变与空腔内气体压强的关系、玻璃的双模量特性、大挠度变形时玻璃的中面拉力、玻璃的阻尼以及惯性力等因素，利用静力平衡方程、几何变形方程及物理方程，建立了玻璃的动力学方程；运用多尺度法求解玻璃的动力学方程，得到了玻璃的幅频响应方程和相频响应方程；通过绘制振幅响应曲线，分析了阻尼系数、玻璃的边长、玻璃厚度等因素对玻璃振幅的影响，分析结果表明：阻尼系数和玻璃边长对玻璃共振特性振幅的影响较大，玻璃厚度的影响较小。

Abstract

Under the action of dynamic load, the dynamic equation of hollow glass is established by using the static equilibrium equation, the geometric deformation equation and the physical equation, considering the relationship between the volume change of the hollow glass cavity and the gas pressure in the cavity, the bimodulous characteristic of the glass, the tension of the middle surface of the glass during large deflection deformation, the damping of the glass and the inertial force.On the basis of considering the relationship between the volume change of the cavity of the insulating glass and the gas pressure in the cavity under dynamic load, the double modulus characteristics of the glass, the mid-surface tension of the glass under large deflection deformation, the damping of the glass and the inertial force, the dynamic equation of the glass is established by using the static equilibrium equation, the geometric deformation equation and the physical equation; The dynamic equation of glass is solved by multi-scale method, the amplitude frequency response equation and phase frequency response equation of glass are obtained; By drawing the amplitude response curve, tThe influence of damping coefficient, glass edge length and glass thickness on the amplitude of glass is analyzed. The results show that damping coefficient and glass edge length have great influence on the amplituderesonance characteristics of glass, and the influence of glass thickness is minor.

导出引用

潘应桂1，田水1，谷倩1，刘治国1，胡飞2，成鹏2，彭云涛2. 中空玻璃在动荷载作用下的主参数共振分析[J]. 振动与冲击, 2023, 42(19): 188-193

PAN Yinggui1, TIAN Shui1, GU Qian1, LIU Zhiguo1, HU Fei2, CHENG Peng2, PENG Yuntao2. Resonance analysis of main parameters of insulating glass under dynamic load[J]. Journal of Vibration and Shock, 2023, 42(19): 188-193

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