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.

Hypernormal Form at Cubic of a Rectangular Symmetric Cross-Ply Laminated Composite Plate

2012 ◽  
Vol 581-582 ◽  
pp. 641-644
Author(s):  
Wen Yuan Jia ◽  
Jing Li ◽  
Bin He
Keyword(s):  
Normal Form ◽  
Mechanical Model ◽  
Composite Plate ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Laminated Composite ◽  
Laminated Plates ◽  
Laminated Composite Plate ◽  
Averaged Equations ◽  
Lie Brackets

Based on wings flutter on flying aircraft in this paper, the authors study the mechanical model of the rectangular symmetric cross-ply composite laminated plates. Frist, the method of multiple scales is employed to obtain the four-dimensional averaged equations of the model. Then, the method of new grading function and multiple Lie brackets is utilized to obtain the hypernormal form (simplest normal form, unique normal form) at cubic of above averaged equations.

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.

Numerical Simulation of Penetration Effect of the Rhombic Fragment on Square Honeycomb Sandwich Plate

2012 ◽  
Vol 466-467 ◽  
pp. 347-351
Author(s):  
Tao Wang ◽  
Wen Li Yu ◽  
San Qiang Dong ◽  
Yun Liang Gao
Keyword(s):  
Numerical Simulation ◽  
Dynamic Response ◽  
Energy Loss ◽  
Oblique Incidence ◽  
Sandwich Plate ◽  
Impact Angle ◽  
Penetration Effect ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate ◽  
Movement Rules

In this paper, the penetration effect of a rhombic fragment penetrating sandwich in an oblique incidence with 30º impact angle at the velocity of 300 m•s-1, 350 m•s-1, 400 m•s-1, 450 m•s-1, 500 m•s-1 and 600 m•s-1 is simulated by LS-DYNA. The dynamic response and the damage patterns of sandwich plate and the movement rules of the rhombic fragment are acquired. The ratio of energy loss and the maximum resultant acceleration of the rhombic fragment are compared with that of the spherical respectively.

Damage Patterns of the Hexagonal Aluminum Honeycomb Sandwich Plate Subjected to Fragment Impact

2012 ◽  
Vol 463-464 ◽  
pp. 364-368
Author(s):  
Tao Wang ◽  
Fang Li ◽  
Wen Li Yu ◽  
Jin Tao Wang ◽  
Tuo Wang
Keyword(s):  
Energy Loss ◽  
Sandwich Plate ◽  
Oblique Impact ◽  
Loss Ratio ◽  
Peak Point ◽  
Honeycomb Sandwich ◽  
Honeycomb Sandwich Plate ◽  
The Face ◽  
Aluminum Honeycomb ◽  
Different Shapes

In this paper, the damage patterns of the hexagonal aluminum honeycomb sandwich plate subjected to normal and oblique impact by spherical, cylindrical and cubic fragments at different velocities are simulated using LS-DYNA code. The damage patterns of the sandwich plate and the energy loss ratio of fragment are acquired. In normal and oblique impact for different shapes of the fragment, the damage patterns of the sandwich plate include the plastic deformation, the fracture and the perforation of the face sheet and the tearing of the core or the combination of them. The curve of energy loss ratio waves with the velocity of fragment. And the peak point at the curve of energy loss ratio versus the velocity of fragment denotes the limit velocity of fragment. Furthermore, the energy loss ratios of fragments in oblique impact at the velocity of 500 m•s-1 with the angle of impact of 5°, 10°, 15° and 20° are obtained. The results denote that a fragment with large ratio of length to diameter is easy to perforate the sandwich plate both in normal and oblique impact.

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