“…The total thickness of the sandwich plate is presented by h, the height of the core is represented by hc, and the upper and lower face sheets thickness are assumed to equal hf. As illustrated in Figure.2(b)–(c), the transverse shear modulus and equivalent density of pyramidal core can be written as follows 12,13,39 where the pyramidal core inclination angle, length and radius are denoted as γ, l and r, respectively.Figure 1.Schematic diagram of research structure: (a) composite sandwich stiffened plates; (b) plane sound wave impinging upon the composite sandwich structure skin; (c) sandwich plates skin composed of FG-CNT reinforced composite materials.Figure 2.The geometry of composite sandwich stiffener plates: (a) forced state of structure stiffeners; (b) pyramidal core I type; (c) pyramidal core II type.…”
This paper presents analytical studies on the sound transmission loss behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) truss core sandwich structure plates subjected to plane sound wave excitation, wherein three different functionally graded patterns are introduced for the carbon nanotubes through the thickness direction of structures. The effective CNTs material properties for each type are determined by the extended rule of mixture and the governing equations are based on the first order shear deformation theory. The compatibility of displacements on the interface between the plate and the stiffeners is employed to derive the governing equation of each stiffener. By using the modal expansion approach and Rayleigh integral, the sound transmission loss is described analytically. Since no existing results of sound insulation can be found for such composite material plate structure, experimental measurements of composite stiffener sandwich plate which is composed of carbon fiber reinforced composite material are subsequently carried out to validate the theoretical model, and good agreement is achieved. Based on the developed theoretical model, the influences of the volume fractions of CNT, truss core type, distribution type of CNT, stiffener spacing, and truss core height on sound transmission loss are subsequently presented.
“…The total thickness of the sandwich plate is presented by h, the height of the core is represented by hc, and the upper and lower face sheets thickness are assumed to equal hf. As illustrated in Figure.2(b)–(c), the transverse shear modulus and equivalent density of pyramidal core can be written as follows 12,13,39 where the pyramidal core inclination angle, length and radius are denoted as γ, l and r, respectively.Figure 1.Schematic diagram of research structure: (a) composite sandwich stiffened plates; (b) plane sound wave impinging upon the composite sandwich structure skin; (c) sandwich plates skin composed of FG-CNT reinforced composite materials.Figure 2.The geometry of composite sandwich stiffener plates: (a) forced state of structure stiffeners; (b) pyramidal core I type; (c) pyramidal core II type.…”
This paper presents analytical studies on the sound transmission loss behavior of functionally graded carbon nanotube reinforced composite (FG-CNTRC) truss core sandwich structure plates subjected to plane sound wave excitation, wherein three different functionally graded patterns are introduced for the carbon nanotubes through the thickness direction of structures. The effective CNTs material properties for each type are determined by the extended rule of mixture and the governing equations are based on the first order shear deformation theory. The compatibility of displacements on the interface between the plate and the stiffeners is employed to derive the governing equation of each stiffener. By using the modal expansion approach and Rayleigh integral, the sound transmission loss is described analytically. Since no existing results of sound insulation can be found for such composite material plate structure, experimental measurements of composite stiffener sandwich plate which is composed of carbon fiber reinforced composite material are subsequently carried out to validate the theoretical model, and good agreement is achieved. Based on the developed theoretical model, the influences of the volume fractions of CNT, truss core type, distribution type of CNT, stiffener spacing, and truss core height on sound transmission loss are subsequently presented.
“…Based on the mechanical condition of the plate, first-order shear deformation theory [36] is applied here to express the displacement fields of the structure as…”
In order to solve the problem of limited installing space and strict additional quality, the effects of distributed nonlinear energy sinks (NES) on a composite truss core sandwich plate are investigated in this paper. Choose five NESs here and inset them in the different places of the sandwich plate to suppress the vibration of the plate, which is excited by a half-wave shock. The coupled dynamic equations of the system are derived by the principle of conservation of energy. Then, numerical simulation are applied to discuss the vibration control performance of the five NESs with different parameters. The distribution of the five NESs are analyzed and the optimal position distributions are obtained. Based on the optimal location, the transient responses of the system are studied. Moreover, five NESs are compared with a single one in different dimensions. Finally, it is found that the selection of parameters have a great impact on the effectiveness of the five NESs. The new distribution way is introduced to improve the suppression effects of the five NESs in the sandwich plates.
“…208 The free vibration of composite truss-core sandwich plates is investigated to compare the response using the classic laminated plate theory, the FSDT, the Reddy's third-order shear deformation theory, and a zigzag theory. 209 VEL plates. The analysis of the free vibration of rectangular sandwich plates with VEL cores is carried out evaluating two displacement theories of sandwich plates, classical and third-order plate theory.…”
Section: Analytical Modelsmentioning
confidence: 99%
“…208 The free vibration of composite truss-core sandwich plates is investigated to compare the response using the classic laminated plate theory, the FSDT, the Reddy’s third-order shear deformation theory, and a zigzag theory. 209…”
Many review articles were published on free vibration and buckling of laminated composites, sandwich plates, and shells. The present article reviews the literature on the buckling and free vibration analysis of shear deformable isotropic and laminated composite sandwich plates and shells using various methods available for plates in the past few decades. Various theories, finite element modeling, and experimentations have been reported for the analysis of sandwich plates and shells. Few papers on functionally graded material plates, plates with smart skin (electrorheological, magnetorheological, and piezoelectric), and also viscoelastic materials were also reviewed. The scope for future research on sandwich plates and shells was also accessed.
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