黏弹性材料Biot模型参数确定及其在黏弹阻尼结构中的应用

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (17) : 70-75.

论文

黄志诚1，吴南星1，王兴国1,褚福磊2

作者信息 +

Biot model parametric determination of viscoelastic material and its application in viscoelastic damping structure

HUANG Zhicheng1, WU Nanxing1, WANG Xingguo1, CHU Fulei2

Author information +

文章历史 +

摘要

粘弹性材料广泛用于工程结构减振降噪，其本构模型的研究对粘弹阻尼结构的动力学分析具有重要的意义。Biot模型能够真实反映粘弹性材料参数随着频率变化的动力学特性。提出了一种确定其参数并将其结合到粘弹阻尼结构有限元动力学方程的方法。通过对频域内实验测得的粘弹性材料储能模量和损耗因子数据进行多参数非线性曲线拟合，并将其转化为在复频域内带约束条件的非线性优化问题，可以使非线性多参数确定问题大大简化。借助辅助耗散坐标将粘弹性材料Biot模型引入到粘弹阻尼结构有限元动力学方程中并转化成常规的二阶线性微分方程，实现了求解的简化。最后通过实验研究对本文方法进行了验证，结果表明本文提出的Biot模型参数确定及和有限元相结合的方法是正确、简单和有效的。

Abstract

The viscoelastic materials are widely used to reduce vibration and noise in Engineering. The study of its constitutive model has important significance for the dynamic analysis of viscoelastic composite structure. The Biot constitutive model can describe the frequency dependent dynamic behavior of the viscoelastic materials. A method for determining its parameters and combining into the finite element dynamic equation of viscoelastic damping structure is presented. In the method, the multi - parameter nonlinear curve fitting of the viscoelastic material storage modulus and loss factor data in the frequency domain is carried out. It can be transformed into a nonlinear optimization problem with constraints in the complex frequency domain, which can greatly simplify the nonlinear multi-parameter determination problem. The Biot model of viscoelastic material is introduced into the finite element dynamic equation of viscoelastic damping structure by means of auxiliary dissipative coordinates, and then converted into a conventional second-order linear differential equation, which simplifies the solution. Finally, the method is validated by experimental research. The results show that the method proposed here is correct, simple and effective.

导出引用

黄志诚1，吴南星1，王兴国1,褚福磊2. 黏弹性材料Biot模型参数确定及其在黏弹阻尼结构中的应用[J]. 振动与冲击, 2020, 39(17): 70-75

HUANG Zhicheng1, WU Nanxing1, WANG Xingguo1, CHU Fulei2. Biot model parametric determination of viscoelastic material and its application in viscoelastic damping structure[J]. Journal of Vibration and Shock, 2020, 39(17): 70-75

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