A Moving Element Method for the Dynamic Analysis of Composite Plate Resting on a Pasternak Foundation Subjected to a Moving Load

Cao, Tan Ngoc Than; Luong, Van Hai; Vo, Hoang Nhi; Nguyen, Xuan Vu; Bui, Van Nhut; Tran, Minh Thi; Ang, Kok Keng

doi:10.1142/s0219876218501244

Cited by 13 publications

(5 citation statements)

References 22 publications

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“…The main limitation of phononic crystals stems from their dependence on the periodic spacing constant, which generates the high-frequency bandgap and thus is not suitable for low-frequency wave mitigations [15,29,30]. Conversely, the underlying mechanism of locally resonant metamaterial is the out-of-phase motions of the local resonators, which counteracts the applied excitation on the structures [31][32][33][34][35]. The bandgaps generated by the metamaterials associated with local resonance depend on the resonant frequency of the resonators embedded in the unit cell, thus making them suitable for low-frequency wave attenuation [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

A reinvestigation of the spring-mass model for metamaterial bandgap prediction

Pham

Hao

et al. 2022

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

A reinvestigation of the spring-mass model for metamaterial bandgap prediction

Pham

Hao

et al. 2022

International Journal of Mechanical Sciences

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“…They employed the layerwise theory, the modal analysis, and the differential quadrature method in their formulation. Cao et al [13] employed the moving element method (MEM) for the dynamic analysis of composite plates resting on a Pasternak foundation under a moving load. The MEM is based on the FEM and is formulated in a coordinates system moving with the load.…”

Section: Introductionmentioning

confidence: 99%

Identification of Time Variations of Moving Loads Applied to Plates Resting on Viscoelastic Foundation Using a Meshfree Method

et al. 2022

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Dynamic identification of the intensity of the moving loads applied to structures is an important task in aerospace, marine, and transportation industries. In the present work, a general technique is presented for identification of the time variations in moving loads applied to plate structures resting on viscoelastic foundation. The identification problem is formulated as an inverse problem, which utilizes dynamic responses. The direct analyses required for the identification problem are performed by a meshfree method based on the moving node technique. In this technique, a node, which travels with the applied force, is utilized in the meshfree method. Since there is no connectivity between the nodes of meshfree methods, this technique can be implemented easily, while reducing the computational labor. Another benefit of this technique is that any simple or complicated trajectory of the moving load can be handled without any additional concerns. Two numerical example problems are solved and the effects of several parameters, including the measurement error, and number of sensors on the accuracy of the results are investigated. Through the examples, it is shown that the presented technique can identify the time variations in moving loads efficiently and accurately.

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“…More recently, the extensions of MEM for investigating the static and dynamic responses of homogenous Mindlin plates and functionally graded plates supported by a viscoelastic foundation subjected to moving loads were performed in the research works of Luong et al (2018, 2020). Furthermore, the MEM has been also successfully developed by Cao et al (2018b) for the dynamic analysis of laminate composite plates.…”

Section: Introductionmentioning

confidence: 99%

A multi-layer moving plate method for dynamic analysis of viscoelastically connected double-plate systems subjected to moving loads

Cao

Reddy

Lieu

et al. 2021

Advances in Structural Engineering

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This article aims to firstly introduce a computational approach, named multi-layer moving plate method (MMPM), to dynamic analysis of viscoelastically connected infinitely long double-plate systems subjected to moving loads. The Reissner-Mindlin plate theory is utilized to describe the displacement field through the thickness of each plate, whilst quadratic serendipity shape functions are employed to represent unknown fields in finite element analyses (FEAs). The governing equations of motion of connected double-plate system are established in a moving coordinate system attached to the moving load. As a consequence, the paradigm can absolutely eradicate the update process of force vector since the applied load is taken into account as “stationary” in its coordinate system. First, several numerical examples for static, free vibration and dynamic analyses are exhibited to verify the accuracy of the proposed MMPM. Then, the influences of various parameters such as load’s velocity, damping coefficient, stiffness coefficient, and plate thickness on the dynamic responses of double-plate system are examined in great detail.

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A Moving Element Method for the Dynamic Analysis of Composite Plate Resting on a Pasternak Foundation Subjected to a Moving Load

Cited by 13 publications

References 22 publications

A reinvestigation of the spring-mass model for metamaterial bandgap prediction

A reinvestigation of the spring-mass model for metamaterial bandgap prediction

Identification of Time Variations of Moving Loads Applied to Plates Resting on Viscoelastic Foundation Using a Meshfree Method

A multi-layer moving plate method for dynamic analysis of viscoelastically connected double-plate systems subjected to moving loads

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