Modified Modal Strain Energy Method for Analyzing the Dynamic Damping Behavior of Constrained Viscoelastic Structures

Sun, Bao; Wang, Jun; Li, Zhan-long; Qi, Yuan; Liu, Shizhong; Tomker, Dick

doi:10.25103/jestr.105.21

Cited by 8 publications

(3 citation statements)

References 15 publications

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“…The MSE method will cause large calculation errors when ignored the frequency dependence of viscoelastic damping materials [14][15]. Taking a rubber material as an example, at 23°C, its Young's modulus increases from 40MPa to 160MPa in the frequency range of 10~300Hz, and the loss factor changes from 0.99 to 1.20.…”

Section: Iterative Mse Methodsmentioning

confidence: 99%

Calculation of Composite Loss Factor Based on Iterative MSE Method

Zhang¹,

Rao²,

Lin³

et al. 2022

Advances in Transdisciplinary Engineering

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Modal strain energy (MSE) method is a widely used approximation approach for parameter calculation of damped composite structures. In this paper, iterative MSE method is proposed to calculate the loss factor of composite damping structure by considering the frequency dependence of modulus and loss factor of viscoelastic damping materials. The proposed method is applied to free damping spline, free damping plate and constrain damping plate. The results show that: the proposed method obtains minimum relative errors of less than 5% and less than 20% for nature frequency and composite loss factor. The influence of different material parameters on the calculation results is also discussed. The error is smaller when using the storage modulus and loss factor measured by tensile mode as input parameter. The thickness of the sample to measure the dynamic material parameters has a great influence on accuracy. This work provides a way for the calculation of composite loss fator of damped composite structures with embedded viscoelastic layer.

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Section: Iterative Mse Methodsmentioning

confidence: 99%

Calculation of Composite Loss Factor Based on Iterative MSE Method

Zhang¹,

Rao²,

Lin³

et al. 2022

Advances in Transdisciplinary Engineering

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“…The modal strain energy method was applied in the analysis of cylindrical shells with a VE layer in [284,285]. In [286], the authors proposed a modification of this method for the analysis of structures with a VE layer by introducing a coefficient that varied with the amplitude of the modal loss factor.…”

Section: Determination Of Dynamic Characteristics Of Systems With Ve ...mentioning

confidence: 99%

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Lewandowski,

Litewka,

Łasecka-Plura

et al. 2023

Buildings

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The paper is devoted to a review of recent achievements in the field of dynamic analysis of structures and structural elements, such as beams and plates, with embedded viscoelastic (VE) dampers and/or layers. The general characteristics of VE materials, their rheological models, and methods of parameters identification are discussed. New formulations of dynamic problems for systems with VE elements are also reviewed. The methods of determination of dynamic characteristics, together with the methods of analysis of steady-state and transient vibrations of such systems, are also discussed. Both linear and geometrically non-linear vibrations are considered. The paper ends with a review of the methods of sensitivity and uncertainty analysis, and the methods of optimization, for structures with VE elements.

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“…The modal strain method [65,66] is a relatively simple method which can be used to determine the non-dimensional damping ratio. According to this method, the mentioned damping ratio corresponds to the mode of vibration k and is determined by the following formula:…”

Section: Data Availability Statementmentioning

confidence: 99%

Dynamic Characteristics of Reticulated Domes Built of Composite Elastic/Viscoelastic Rods Modeled by the Fractional Zener Model

2022

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The new method for the determination of the dynamic characteristics of reticulated domes is proposed. Reticulated domes are built of composite rods. Each rod contains two layers made of elastic and viscoelastic materials, respectively. The viscoelastic material is modeled using the Zener model with fractional derivatives. A new formulation for the composite rod is proposed. The natural frequencies, the non-dimensional damping ratios and the modes of vibration are obtained as a solution to the nonlinear eigenvalue problem, which is solved using the continuation method. Moreover, the frequency response functions are determined in the usual way. The results of representative calculations are also presented and briefly discussed.

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Modified Modal Strain Energy Method for Analyzing the Dynamic Damping Behavior of Constrained Viscoelastic Structures

Cited by 8 publications

References 15 publications

Calculation of Composite Loss Factor Based on Iterative MSE Method

Calculation of Composite Loss Factor Based on Iterative MSE Method

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Dynamic Characteristics of Reticulated Domes Built of Composite Elastic/Viscoelastic Rods Modeled by the Fractional Zener Model

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