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Effect of Self Damping and Higher-Order Geometrical Nonlinearity on History of Springback Amount for a Rectangular HSLA Steel Plate

Published online by Cambridge University Press:  27 June 2017

H. L. Dai ,
Z. H. Xiao ,
H. J. Jiang ,
A. H. Luo  and
W. L. Xu
H. L. Dai*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle BodyHunan UniversityChangsha, China State Key Laboratory of Development and Application Technology of Automotive SteelBaosteel GroupShanghai, China Key Laboratory of Advanced Design and Simulation Technology for Special EquipmentsMinistry of EducationChangsha, China
Z. H. Xiao
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle BodyHunan UniversityChangsha, China State Key Laboratory of Development and Application Technology of Automotive SteelBaosteel GroupShanghai, China Key Laboratory of Advanced Design and Simulation Technology for Special EquipmentsMinistry of EducationChangsha, China
H. J. Jiang
Affiliation:
College of Mechanical EngineeringZhejiang University of TechnologyHangzhou, China
A. H. Luo
Affiliation:
State Key Laboratory of Development and Application Technology of Automotive SteelBaosteel GroupShanghai, China
W. L. Xu
Affiliation:
State Key Laboratory of Development and Application Technology of Automotive SteelBaosteel GroupShanghai, China
*
*Corresponding author ([email protected])
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Abstract

By introducing the concept of forming springback anti-coupled systems and considering the influence of the self damping effect, meanwhile establishing higher-order geometrical nonlinear equation of a high strength and low alloy (HSLA) steel plate, then a set of nonlinear dynamic springback governing equations of the plate are obtained. The finite difference method, Newmark method and iterative method are applied to solve the whole problem. Numerical results denote that the boundary conditions, thickness-length ratio of the plate and initial impact velocity of the impactor have great influence on the springback amount of the rectangular HSLA steel plate, besides the natural frequency is affected a lot by the boundary conditions and thickness-length ratio. The effect of higher-order geometrical nonlinearity on the springback amount of the plate can be ignored, considering the first-order geometrical nonlinearity is enough accurate for such similar nonlinear dynamic problems.

Keywords

Springback anti-coupled systemsHigher-order geometrical nonlinearityRectangular HSLA steel plate
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 5 , October 2017 , pp. 673 - 685
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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