Research Papers

Low-Velocity Impact Response of Structures With Local Plastic Deformation: Characterization and Scaling

[+] Author and Article Information
Andreas P. Christoforou

e-mail: andreas.christoforou@ku.edu.kw

Majed Majeed

Department of Mechanical Engineering,
Kuwait University,
P.O. Box 5969,
Safat 13060, Kuwait

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 9, 2012; final manuscript received March 17, 2012; published online June 14, 2012. Assoc. Editor: José L. Escalona.

J. Comput. Nonlinear Dynam 8(1), 011012 (Jun 14, 2012) (10 pages) Paper No: CND-12-1004; doi: 10.1115/1.4006532 History: Received January 09, 2012; Revised March 17, 2012

This paper presents a methodology for the characterization and scaling of the response of structures having different shapes, sizes, and boundary conditions that are under impact by spherical objects. The objectives are to demonstrate the accuracy of a new bilinear contact law that accounts for permanent indentation in the contact zone, and to show the efficacy of a characterization diagram in the analysis and design of structures subject to impact. The characterization diagram shows the normalized functional relationship between the maximum impact force and three nondimensional parameters that cover the complete dynamic spectrum for low-velocity impact. The validity of using the bilinear elastoplastic contact law is demonstrated by both finite element (FE) and Rayleigh-Ritz discretization procedures for simply-supported plates. The efficacy of the characterization diagram, which was developed using simple structural models, is demonstrated by the FE simulations of more complicated and realistic structures and boundary conditions (clamped, stiffened plates, and cylindrical panels). All of the necessary parameters needed for the characterization are ‘measured’ using the FE models simulating real-world experiments. Impact parameters are varied to cover the complete dynamic spectrum with excellent results.

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Fig. 1

Structures used in simulations

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Fig. 2

Characterization diagram showing various impact situations on different structures

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Fig. 4

Quasi-static impact on a simply-supported plate: λ = 0.2, and ζ = 7.6

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Fig. 5

Force-indentation curves from quasi-static impact on a simply-supported plate

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Fig. 6

Transition region (dynamic) impact on a simply-supported plate: λ = 0.2, and ζ = 0.76

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Fig. 7

Force-indentation curves from dynamic impact on a simply-supported plate

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Fig. 8

Quasi-static impact on simply-supported and scaled clamped plates: λ = 0.2, and ζ = 7.6

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Fig. 9

Transition impact on simply-supported and scaled clamped plates: λ = 0.2, and ζ = 0.76

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Fig. 10

Quasi-static impact on a stiffened plate: λ = 0.5, and ζ = 8.64

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Fig. 11

Transition impact on a stiffened plate: λ = 0.5, and ζ = 0.86

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Fig. 12

Small mass impact on a flexible cylindrical panel: λ = 0.05, and ζ = 0.42




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