Experiment and Analysis on the Free Dynamics of a Shallow Arch After an Impact Load at the End

[+] Author and Article Information
Jen-San Chen, Chun-Yi Liao

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617

J. Appl. Mech 72(1), 54-61 (Feb 01, 2005) (8 pages) doi:10.1115/1.1827245 History: Received July 15, 2003; Revised March 18, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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Schematic diagram of a flexibly supported arch under impact at the end
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aj curves on the kh2-a plane
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Strain energy contours for (a) k=0.4,h=10,a=3, (b) k=0.2,h=10,a=0.6, (c) k=0.8,h=10,a=13.8
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Effect of damping μ on the response of the assembly with h=10,k=0.4,a=3,vi=110,m=0.001. (a) μ=0.2, (b) μ=0.3, (c) μ=0.6.
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Schematic diagram of the experimental setup
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A photograph of the experimental setup in the laboratory
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Measured speed history of the attached mass following the impact. Parameters of the assembly are h*=2.80 cm,k*=327 N/cm,a*=0.
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Deflection history at the midpoint of the arch following the impact. The solid lines are the measured response while the dashed lines are the numerical results. (a) h*=3.46 cm,k*=206 N/cm,vi*=1.44 m/s. (b) h*=3.00 cm,k*=333 N/cm,vi*=1.79 m/s.
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Critical initial speed vcr* as a function of (a) wall movement a*, (b) supporting spring constant k*, (c) initial height h* of the arch. Symbol×represents the measured data, while the solid lines are the theoretical predictions.




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