A compression shear mixed finite element model for vibration and damping analysis of viscoelastic sandwich structures

Huang, Zhichuan; Qin, Zhaoye; Chu, Fulei

doi:10.1177/1099636218794576

Cited by 13 publications

(3 citation statements)

References 26 publications

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“…Plate and shell theory is an efficient choice in practice, 13 including equivalent single-layer (ESL) theory 14,15 and the layerwise model. [16][17][18][19][20] Although the ESL theory is highly efficient, it cannot accurately present the zig-zag displacement of the sections. In contrast, the layerwise model can simulate the zig-zag displacement of the sections, but its computational cost is high.…”

Section: Introductionmentioning

confidence: 99%

A homogenization method for natural frequencies and damping analysis of composite pyramidal lattice truss sandwich structures based on representative volume elements

Guan

Tang²,

Zhao³

et al. 2023

Jnl of Sandwich Structures & Materials

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A homogenization method for the vibration analysis of periodic sandwich panels is presented. Periodic boundary conditions are applied to a representative volume element (RVE) of the structures. The complex responses of the RVE under eight sinusoidal excitations are calculated and the complex stiffness matrix of the sandwich panels is obtained by the direct-solution steady-state dynamic analysis (DSDA) using the finite element method (FEM) in the frequency domain. Based on equivalent single-layer (ESL) theory and finite element-modal strain energy (FE-MSE) method, the natural frequencies, the mode shapes and the loss factors of the structures are obtained by shell models. The effectiveness of the homogenization method is validated by using pyramidal lattice truss sandwich panels made of carbon fiber reinforced plastics (CFRP). The results obtained by the homogenization method are compared with those obtained by experiments and solid models. The effects of the number of cells and damping layers are discussed.

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Section: Introductionmentioning

confidence: 99%

A homogenization method for natural frequencies and damping analysis of composite pyramidal lattice truss sandwich structures based on representative volume elements

Guan

Tang²,

Zhao³

et al. 2023

Jnl of Sandwich Structures & Materials

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show abstract

“…This method is low-cost, stable, and effective for high-frequency vibration areas. However, it is not effective for low-frequency vibration areas and cannot be controlled in time when the external environment changes [ 8 ]. The advent of active control makes up for this deficiency by using intelligent materials such as piezoelectric ceramics as a piezoelectric layer to be pasted onto the surface, enabling the interconversion of electrical and kinetic energy through the piezoelectric effect, effectively enabling the control of low-frequency vibrations [ 9 , 10 ].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Modeling and Vibration Control of Plates with Active Constrained Layer Damping Treatment

et al. 2023

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An enhanced lightness and thinness is the inevitable trend of modern industrial production, which will also lead to prominent low-frequency vibration problems in the associated structure. To solve the vibration problem of thin plate structures in various engineering fields, the active constrained layer damping (ACLD) thin plate structure is taken as the research object to study vibration control. Based on the FEM method, energy method, and Hamilton principle, the dynamic model of an ACLD thin plate structure is derived, in which the Golla–Hughes–McTavish (GHM) model is used to characterize the damping characteristics of the viscoelastic layer, and the equivalent Rayleigh damping is used to characterize the damping characteristics of the base layer. The order of the model is reduced based on the high-precision physical condensation method and balance reduction method, and the model has good controllability and observability. An LQR controller is designed to actively control the ACLD sheet, and the controller parameters and piezoelectric sheet parameters are optimized. The results show that the finite element model established in this paper is accurate under different boundary conditions, and the model can still accurately and reliably describe the dynamic characteristics of the original system in the time and frequency domain after using the joint reduction method. Under different excitation and boundary conditions, LQR control can effectively suppress structural vibration. Considering the performance and cost balance, the most suitable control parameter for the system is: Q-matrix coefficient is between 1 × 104 and 1 × 105, the R-matrix coefficient is between 1 and 10, and the thickness of the piezoelectric plate is 0.5 mm.

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“…At present, a series of relevant theories, such as first-order shear theory (FOST) [ 4 , 5 ], high-order shear theory [ 6 ], layered theory [ 7 ], and zig-zag theory [ 8 ], have been proposed to examine the mechanical mechanism of the honeycomb sandwich panels. Huang et al [ 9 ] developed a finite element model to investigate the vibration and damping of elastic–viscoelastic–elastic sandwich beams. To examine the dynamic characteristics of functionally graded porous sandwich plates, Gao et al [ 10 ] developed a sandwich plate model by integrating the FOST, the equivalent theory of material mechanics, and the Newmark–Beta approach.…”

Section: Introductionmentioning

confidence: 99%

A VAM-Based Equivalent Model for Triangular Honeycomb Sandwich Panels: Comparison with Numerical and Experimental Data

et al. 2022

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Due to their complex microstructures, the research on the static and dynamic behaviors of triangular honeycomb sandwich panels (triangular HSPs) is limited. In this study, the effective plate properties of triangular HSP was obtained by the homogenizing of the unit cell, and then the input to a VAM-based two-dimensional equivalent plate model (2D-EPM) to perform static and dynamic analyses. The accuracy of the proposed model for predicting the equivalent stiffness of the triangular HSP was verified by three-point bending experiments of 3D-printed specimens. Then, the static displacement, global buckling, and free vibrations predicted by 2D-EPM were verified with the results from three-dimensional finite element model simulations under various boundary conditions. The influences of structural parameters (including angle, core wall thickness, and cell side length of the unit cell) on the static and dynamic characteristics of triangular HSPs were also investigated, which can provide a useful tool for the modeling and evaluation of triangular HSPs under different conditions.

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A compression shear mixed finite element model for vibration and damping analysis of viscoelastic sandwich structures

Cited by 13 publications

References 26 publications

A homogenization method for natural frequencies and damping analysis of composite pyramidal lattice truss sandwich structures based on representative volume elements

A homogenization method for natural frequencies and damping analysis of composite pyramidal lattice truss sandwich structures based on representative volume elements

Finite Element Modeling and Vibration Control of Plates with Active Constrained Layer Damping Treatment

A VAM-Based Equivalent Model for Triangular Honeycomb Sandwich Panels: Comparison with Numerical and Experimental Data

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