Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping

Jafari, Nasrin; Azhari, Mojtaba

doi:10.1016/j.matcom.2021.01.019

Cited by 15 publications

(3 citation statements)

References 25 publications

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“…The fiber laying angles affect the overall stiffness, inter-laminar friction and shear properties of laminates. When the stiffness of composite leaf spring is too large, the deformation ability of polyurethane will be affected, and the relative sliding between the reinforcement and the matrix will be impeded, thus reducing the damping characteristics of composite leaf spring 23 , 24 . Specimen 1 is laid at 0°, the fiber layer plays the main bearing role, and the stiffness of the leaf spring is the largest.…”

Section: Resultsmentioning

confidence: 99%

Analysis of stiffness and damping performance of the composite leaf spring

Zou

Bao²,

Yin

2022

Sci Rep

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Lightweight design of leaf springs is conducive to reducing fuel consumption and improving vehicle comfort. The weight of leaf spring can be reduced obviously by using composite material. Stiffness and damping are the key factors that affect the properties of the leaf spring. The influence of the glass fiber laying angle and volume content on the stiffness and damping of the composite leaf spring was analyzed through experiment and simulation. The results show that the stiffness and damping properties of the leaf springs are related to the fiber laying angle and the fiber volume content. When the volume content and the number of layers are constant, the stiffness shows a nonlinear decreasing relationship with the laying angle, and the damping coefficient increases linearly with the laying angle. When the laying angle and the number of layers are constant, the stiffness increases linearly with the fiber volume content; the damping coefficient has a nonlinear decreasing relationship with the fiber volume content. The type of research can provide theoretical basis and reference for the design, analysis and optimization of composite leaf spring.

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Section: Resultsmentioning

confidence: 99%

Analysis of stiffness and damping performance of the composite leaf spring

Zou

Bao²,

Yin

2022

Sci Rep

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“…The damping of a single degree of freedom system can be solved according to the amplitude attenuation ratio on the vibration attenuation curve. Figure 3 shows the free attenuation curve of a single degree of freedom system 25 , 26 . According to the maximum displacement A i sampled in each period and the maximum displacement A i+1 of the next adjacent period, the vibration logarithmic attenuation rate δ is calculated according to formula ( 1 ), and the corresponding damping coefficient ξ is calculated according to formula ( 2 ).…”

Section: Experimental Methodsmentioning

confidence: 99%

Research on damping performance and strength of the composite laminate

Bao¹,

et al. 2021

Sci Rep

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In this paper, the influence of E-glass fiber volume fraction and laying angle on the damping and strength of composite laminates was comprehensively analyzed. By increasing the fiber laying angle and reducing the glass fiber volume fraction, the damping capacity of the composite laminate was increased, but the tensile strength of the laminate was reduced; By reducing the fiber laying angle and increasing the glass fiber volume fraction, the tensile strength of the composite laminate was increased, but the damping characteristics of the laminate was reduced. In addition, in the damping experiment of composite laminates, in order to avoid the influence of external damping sources, the vacuum non-contact damping test method was adopted in this paper, and the influence of air damping on the damping experiment results of composite laminates was comparatively analyzed. The results of comparative experiments showed that air damping had a very obvious influence on the damping of composite laminates, especially when the damping of composite laminates was small, the influence of air damping would be greater.

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“…In recent years, with the continuous progress of fractional differential operators, fractional viscoelastic constitutive models have been gradually applied in physics and engineering, which can generalize the behavior and properties of viscoelastic materials with high accuracy [10,11]. Jafari and Azhari [12] proposed a fractional viscoelastic model to depict and analyze the vibration of a fully simply supported plate excited by a bracing motion. Tuwa et al [13] studied chaotic vibration of simply supported nonlinear viscoelastic plates under parameter and external excitation using fractional derivative model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials

Qu,

Zhang,

Cui

et al. 2023

Math Methods in App Sciences

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The fractional Kelvin–Voigt (FKV) viscoelastic constitutive model has been employed to build the fractional differential governing equation of viscoelastic foundation plate. Shifted Bernstein polynomial algorithm is implemented to solve the governing equations on a direct time domain numerically. Furthermore, the validity of the method is demonstrated by convergent analysis and error estimation of a math example. Finally, the dynamic analysis of viscoelastic foundation plate under different uniform loads. The movement of plate with different aspect ratios in viscoelastic foundation under the same load is studied. The stress of viscoelastic foundation plates of two materials under identical loading situations is investigated.

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Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping

Cited by 15 publications

References 25 publications

Analysis of stiffness and damping performance of the composite leaf spring

Analysis of stiffness and damping performance of the composite leaf spring

Research on damping performance and strength of the composite laminate

Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials

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