scholarly journals Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations

2018 ◽  
Vol 151 ◽  
pp. 01003
Author(s):  
Dongmei Wang ◽  
Wei Zhang ◽  
Minghui Yao ◽  
Yinli Liu
Keyword(s):  
Nonlinear Dynamic ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Differential Quadrature Method ◽  
Dynamic Responses ◽  
Phase Portraits ◽  
Period 2 ◽  
Transverse Excitation ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate

Nonlinear dynamic behaviors of a simply supported honeycomb sandwich plate subjected to the transverse excitations are investigated in this paper. Based on the classical thin plate theory and Von Karman large deformation theory, the governing equation of motion for the honeycomb sandwich plate is established by using the Hamilton principle. The nonlinear governing partial differential equation is discretized to the ordinary differential equations by differential quadrature method and then solved by Runge-Kutta-Fehlberg method. Based on the numerical simulations, combined with nonlinear dynamic theory, the influences of the frequency and amplitude of the transverse excitation are investigated respectively by using the bifurcation diagrams, Poincare maps and phase portraits. The results exhibit the existence of the period-1, period-2 and chaotic responses with the variation of the excitations, which demonstrate that those motions appear alternately.

scholarly journals Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Junhua Zhang ◽  
Xiaodong Yang ◽  
Wei Zhang
Keyword(s):  
Differential Equations ◽  
Nonlinear Dynamic ◽  
Sandwich Plate ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Shear Deformation Theory ◽  
Dynamic Responses ◽  
Chaotic Motions ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate

Dynamics of a cantilever honeycomb sandwich plate are studied in this paper. The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory. Based on the Rayleigh–Ritz method, some modes of natural frequencies for the cantilever honeycomb sandwich plate are obtained. The relations between the natural frequencies and the parameters of the plate are investigated. Further, the Galerkin method is used to transform the nonlinear partial differential equations into a set of nonlinear ordinary differential equations. Nonlinear dynamic responses of the cantilever honeycomb sandwich plate to such external and parametric excitations are discussed by using the numerical method. The results show that in-plane and transverse excitations have an important influence on nonlinear dynamic characteristics. Rich dynamics, such as periodic, multiperiodic, quasiperiodic, and chaotic motions, are located and studied by the bifurcation diagram for some specific parameters.

scholarly journals Free Vibrations and Impact Resistance of a Functionally Graded Honeycomb Sandwich Plate

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Jun-hua Zhang ◽  
Bao-juan Dong ◽  
Bince He ◽  
Ying Sun
Keyword(s):  
Sandwich Plate ◽  
Natural Frequencies ◽  
Impact Resistance ◽  
Shear Deformation Theory ◽  
Free Vibrations ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Inhomogeneous Materials ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate

The functionally graded honeycomb has the characteristic of light weight, low density, high impact resistance, noise reduction, and energy absorption as a kind of new composite inhomogeneous materials. It has the advantages of both functionally graded materials and honeycombs. In this paper, a functionally graded honeycomb sandwich plate with functionally graded distributed along the thickness of the plate is constructed. The equivalent elastic parameters of the functionally graded honeycomb core are given. Based on Reddy’s higher-order shear deformation theory (HSDT) and Hamilton’s principle, the governing partial differential equation of motion is derived under four simply supported boundary conditions. The natural frequencies of the graded honeycomb sandwich plate are obtained by both the Navier method from the governing equation and the finite element model. The results obtained by the two methods are consistent. Based on this, the effects of parameters and graded on the natural frequencies of the functionally graded honeycomb sandwich plate are studied. Finally, the dynamic responses of the functionally graded honeycomb sandwich plate under low-speed impacts are studied. The results obtained in this paper will provide a theoretical basis for further study of the complex dynamics of functionally graded honeycomb structures.

scholarly journals Nonlinear Dynamic Analysis for Rectangular FGM Plates with Variable Thickness Subjected to Mechanical Load

2019 ◽  
Vol 35 (3) ◽  
Author(s):  
Khuc Van Phu ◽  
Le Xuan Doan ◽  
Nguyen Van Thanh
Keyword(s):  
Variable Thickness ◽  
Nonlinear Dynamic ◽  
Volume Fraction ◽  
Mechanical Load ◽  
Plate Theory ◽  
Geometrical Nonlinearity ◽  
Nonlinear Dynamic Analysis ◽  
Dynamic Responses ◽  
Rectangular Plates ◽  
Classical Plate Theory

 In this paper, the governing equations of rectangular plates with variable thickness subjected to mechanical load are established by using the classical plate theory, the geometrical nonlinearity in von Karman-Donnell sense. Solutions of the problem are derived according to Galerkin method. Nonlinear dynamic responses, critical dynamic loads are obtained by using Runge-Kutta method and the Budiansky–Roth criterion. Effect of volume-fraction index k and some geometric factors are considered and presented in numerical results.

Numerical Simulation of Penetration Effect of Spherical Fragment on Square Honeycomb Sandwich Plate

2011 ◽  
Vol 474-476 ◽  
pp. 1869-1873 ◽  
Author(s):  
Tao Wang ◽  
Wen Li Yu ◽  
San Qiang Dong ◽  
Yun Liang Gao
Keyword(s):  
Oblique Incidence ◽  
Sandwich Plate ◽  
Normal Incidence ◽  
Impact Angle ◽  
Damage Effect ◽  
Penetration Effect ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate ◽  
Solid Plate ◽  
Active Fragment

In this paper, a spherical fragment penetrating to square honeycomb sandwich plate and solid plate which has the same mass as sandwich plate are simulated by LS-DYNA code. The fragment impacts plates at normal incidence and oblique incidence with 30º impact angle at the velocity of 300m/s, 350m/s, 380m/s, 400m/s, 450m/s and 500m/s separately. And the damage pattern of sandwich plate, the acceleration of fragment and the energy absorption of sandwich plate are acquired. For sandwich plate, the acceleration of fragment is less than that of solid plate and the internal energy absorbed is larger that that of solid plate. The result can be used to design new active fragment to improve the damage effect to sandwich plate.

Hypernormal Form at Cubic of Honeycomb Sandwich Plate Dynamics Model

2013 ◽  
Vol 437 ◽  
pp. 81-84 ◽  
Author(s):  
Xin Li ◽  
Jing Li ◽  
Bin He
Keyword(s):  
Normal Form ◽  
Sandwich Plate ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Dynamics Model ◽  
Average Equation ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate ◽  
Lie Brackets ◽  
Plate Dynamics

Honeycomb sandwich plate have been widly applied in industry design in recent years. In this paper, we study the cubic hypernormal form (the simplest normal form and the unique normal form) for honeycomb sandwich plate dynamics model with the help of Maple symbolic computation. Firstly, we get the average equation of four dimensional cartesian form by using the method of multiple scales perturbation analysis. Based on the method combined new grading function with multiple Lie brackets, we obtain the hypernormal form of cubic truncated. The results will further enrich the research for dynamics of honeycomb sandwich plate model, and is also the basis for higher order normal form research.

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