Accuracy and robustness of four basic single degree of freedom methods for determining the modal parameters of non-lightly damped systems

Anthony, David K.; Simón, Francisco

doi:10.1016/j.jsv.2012.06.015

Journal of Sound and Vibration

2012

DOI: 10.1016/j.jsv.2012.06.015

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Accuracy and robustness of four basic single degree of freedom methods for determining the modal parameters of non-lightly damped systems

David K. Anthony¹,

Francisco Simón²

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Cited by 3 publications

References 14 publications

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A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures: Focus on the Quantitative Identification Methods and Key Influencing Parameters

Zeng,

Qian,

Zhang

et al. 2024

J. Marine. Sci. Appl.

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Abstractcean energy has progressively gained considerable interest due to its sufficient potential to meet the world’s energy demand, and the blade is the core component in electricity generation from the ocean current. However, the widened hydraulic excitation frequency may satisfy the blade resonance due to the time variation in the velocity and angle of attack of the ocean current, even resulting in blade fatigue and destructively interfering with grid stability. A key parameter that determines the resonance amplitude of the blade is the hydrodynamic damping ratio (HDR). However, HDR is difficult to obtain due to the complex fluid–structure interaction (FSI). Therefore, a literature review was conducted on the hydrodynamic damping characteristics of blade-like structures. The experimental and simulation methods used to identify and obtain the HDR quantitatively were described, placing emphasis on the experimental processes and simulation setups. Moreover, the accuracy and efficiency of different simulation methods were compared, and the modal work approach was recommended. The effects of key typical parameters, including flow velocity, angle of attack, gap, rotational speed, and cavitation, on the HDR were then summarized, and the suggestions on operating conditions were presented from the perspective of increasing the HDR. Subsequently, considering multiple flow parameters, several theoretical derivations and semi-empirical prediction formulas for HDR were introduced, and the accuracy and application were discussed. Based on the shortcomings of the existing research, the direction of future research was finally determined. The current work offers a clear understanding of the HDR of blade-like structures, which could improve the evaluation accuracy of flow-induced vibration in the design stage.

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A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures: Focus on the Quantitative Identification Methods and Key Influencing Parameters

Zeng,

Qian,

Zhang

et al. 2024

J. Marine. Sci. Appl.

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On the determination of the modulus of elasticity of plasterboard plates

Manguán

Millán

Hidalgo

2018

Construction and Building Materials

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Accuracy enhancement of modal analysis using higher-order residual terms

YAMADA,

2023

Mechanical Engineering Journal

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This study proposes a method to improve the computational accuracy of modal analysis by considering higherorder residual terms in addition to the residual stiffness. Conventionally, the effect of the residual stiffness of higher-order eigenmodes has been considered using the Hansteen and Bell method. However, it is insufficient to consider only the effect of the residual stiffness in the frequency range near the natural frequencies of the omitted eigenmodes. The proposed method improves computational accuracy by considering lower-order residual terms in addition to the residual mass when low-order eigenmodes are omitted rather than high-order eigenmodes. Furthermore, assuming that a continuous body is analyzed, we also present an approach to evaluate the residual stiffness of the eigenmodes of the degrees of freedom (DOF) excluded from the equations of motion by using the exact solution of the static displacement. The concept and essence of the proposed method were theoretically described using a 1-DOF vibration system. Then, higher-order and lower-order residual terms were theoretically formulated in a multi-DOF vibration system. Furthermore, we also describe the approach used to evaluate the residual stiffness of the degrees of freedom excluded from the equations of motion by using static displacement. The effectiveness of the proposed method was verified by comparing the exact solution with the simulation results of modal analysis using the proposed method.

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Accuracy and robustness of four basic single degree of freedom methods for determining the modal parameters of non-lightly damped systems

Cited by 3 publications

References 14 publications

A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures: Focus on the Quantitative Identification Methods and Key Influencing Parameters

A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures: Focus on the Quantitative Identification Methods and Key Influencing Parameters

On the determination of the modulus of elasticity of plasterboard plates

Accuracy enhancement of modal analysis using higher-order residual terms

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