It has been shown in previous research that, relative to (the usually considered case of) a single impact, multiple impacts (clattering) of rigid casings can greatly enhance the probability of failure of fragile components mounted on or inside them. This paper addresses the important issues of the roles of casing flexibility and contact model in the above situation. A finite element analysis of clattering of a Timoshenko beam is carried out here. Dependence of the maximum change in average velocity due to impact, on the beam stiffness and coefficient of restitution, are studied here.
Issue Section:
Technical Briefs
1.
Goyal
, S.
, Upasani
, S.
, and Patel
, D. M.
, 1999
, “Improving Impact Tolerance of Portable Electronic Products: Case Study of Cellular Phones
,” Exp. Mech.
, 39
(1
), pp. 43
–52
.2.
Mindlin
, R. D.
, 1945
, “Dynamics of Packages Cushioning
,” Bell Systems Journal
, 24
, pp. 353
–461
.3.
Ayre, R. S., 1988, “Transient Response to Step and Pulse Functions,” Shock and Vibration Handbook, 3rd edition, Harris, C. M., eds., McGraw-Hill, New York.
4.
Newton, R. E., 1988, “Theory of Shock Isolation,” Shock and Vibration Handbook, 3rd edition, Harris, C. M., eds., McGraw-Hill, New York.
5.
Rubin, S., 1988, “Concepts in Shock Data Analysis,” Shock and Vibration Handbook, 3rd edition, Harris, C. M., eds., McGraw-Hill, New York.
6.
Goyal
, S.
, Papadopoulos
, J. M.
, and Sullivan
, P. A.
, 1997
, “Shock Protection of Portable Electronic Products: Shock Response Spectrum, Damage Boundary Approach, and Beyond
,” Shock Vib.
, 4
(3
), pp. 169
–191
.7.
Goyal
, S.
, Papadopoulos
, J. M.
, and Sullivan
, P. A.
, 1998a
, “The Dynamics of Clattering I: Equation of Motion and Examples
,” ASME J. Dyn. Syst., Meas., Control
, 120
, pp. 83
–93
.8.
Goyal
, S.
, Papadopoulos
, J. M.
, and Sullivan
, P. A.
, 1998b
, “The Dynamics of Clattering II: Global Results and Shock Protection
,” ASME J. Dyn. Syst., Meas., Control
, 120
, pp. 94
–102
.9.
Stoianovici
, D.
, and Hurmuzlu
, Y.
, 1996
, “A Critical Study of the Applicability of Rigid-Body Collision Theory
,” ASME J. Appl. Mech.
, 63
, pp. 307
–316
.10.
Goldsmith, W., 1960, “The Theory and Physical Behaviour of Colliding Solids,” Edward Arnold Publishers Ltd., London.
11.
Hughes, J. R., 1987, “The Finite Element Method: Linear Static and Dynamic Finite Element Analysis,” Englewood Cliffs, N.J.: Prentice-Hall.
12.
Suita
, T. Y.
, 1987
, “Vibrations and Transient Response of Timoshenko Beam Resting on Elastic Foundations
,” Ingenieur-Archiv
, 57
, pp. 81
–90
.13.
Newmark
, N. M.
, 1959
, “A Method of Computation for Structural Dynamics
,” J. Eng. Mech. Div.
, 85
(EM3
), pp. 67
–94
.14.
Clough, R. W., and Penzien, J., 1993, “Dynamics of Structures,” 2nd edition, McGraw-Hill, New York.
15.
Wilson
, E. L.
, Farhoomand
, I.
, and Bathe
, K. J.
, 1973
, “Nonlinear Dynamic Analysis of Complex Structures
,” Earthquake Eng. Struct. Dyn.
, 1
(3
), pp. 241
–252
.16.
Graff, K. F., 1991, “Wave Motion in Elastic Solids,” Dover Publications, New York.
17.
Bao, Z., 2004, “Study of Static and Dynamic Deformation of Structures With Applications in MEMS,” Ph.D Dissertation, Cornell University, Ithaca, NY (under preparation).
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