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Dynamic Analysis of Sheet Deformation Using Spring-Mass-Beam Model

[+] Author Affiliations
Kazushi Yoshida

Hitachi, Ltd., Ibaraki, Japan

Paper No. IMECE2003-41342, pp. 475-481; 7 pages
doi:10.1115/IMECE2003-41342
From:
  • ASME 2003 International Mechanical Engineering Congress and Exposition
  • Manufacturing
  • Washington, DC, USA, November 15–21, 2003
  • Conference Sponsors: Manufacturing Engineering Division
  • ISBN: 0-7918-3720-3 | eISBN: 0-7918-4663-6, 0-7918-4664-4, 0-7918-4665-2
  • Copyright © 2003 by ASME

abstract

Since sheet jamming occurs due to a collision between stacked sheets in the sheet stacking mechanism, it is necessary to establish a dynamic analytical method that can predict the behavior of both the leading and trailing edges of stacked sheet to avoid sheet jamming. We present one method of predicting the dynamic behavior of sheets and introduce a dynamic analysis of sheet deformation using a spring-mass-beam model, the Lagrange multiplier, and functions that express the configuration of the mechanism guide plates. From the Lagrange equation obtained through Hamilton’s principle, the equations of motion and constraints for each element can be determined. Resistance force due to air is also considered. The calculated and experimental results concur with each other and indicate that the proposed methods are useful in designing a time interval between sheets being stacked that prevents sheet jamming.

Copyright © 2003 by ASME

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