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Dynamic Buckling of a Cylindrical Shell with a General Boundary Condition under an Axial Impact

  • Y. GuiEmail author
  • J. Xu
  • J. Ma
Article
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Abstract

The dynamic buckling of an elastic cylindrical shell with a general boundary condition (composed of stiffness and damping) under an axial impact by a rigid body is considered. A dynamic equation is derived to obtain the axial stress and radial displacement of the shell. Then, by substituting the results into the energy equation, the critical condition for the dynamic buckling of the shell is obtained. The influence of the general boundary condition on the critical velocity of the impactor is analyzed. The results reveal that the boundary condition exerts no effect on the dynamic buckling of the shell before the stress wave becomes reflected from the fixed end face of the shell. After reflection, the critical velocity decreases with increasing impactor mass and stiffness, but increases with increasing damping. At times smaller than the instant when the stress wave reaches the fixed end face of the shell, the dynamic buckling occurs earlier at greater values of damping and stiffness. After stress wave reflection, the earlier dynamic buckling is observed at smaller values of damping and stiffness.

Keywords

elastic cylindrical shell general boundary condition energy equation dynamic buckling 

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References

  1. 1.
    A. A. Bityurin, “Calculation of the Critical Velocity of a Stepwise Rod System under a Longitudinal Impact,” Prikl. Mekh. Tekh. Fiz. 52 (4), 36–42 (2011) [J. Appl. Mech. Tech. Phys. 52 (4), 530–535 (2011)].zbMATHGoogle Scholar
  2. 2.
    V. G. Bazhenov, E. G. Gonik, A. I. Kibets, and D. V. Shoshin, “Stability and Limit States of Elastoplastic Spherical Shells under Static and Dynamic Loading,” Prikl. Mekh. Tekh. Fiz. 55 (1), 13–22 (2014) [J. Appl. Mech. Tech. Phys. 55 (1), 8–15 (2014)].Google Scholar
  3. 3.
    S. N. Korobeynikov, N. G. Torshenov, I. V. Lyubashevskaya, et al., “Creep Buckling of Axially Compressed Circular Cylindrical Shells of a Zirconium Alloy: Experiment and Computer Simulation,” Prikl. Mekh. Tekh. Fiz. 55 (1), 127–143 (2014) [J. Appl. Mech. Tech. Phys. 55 (1), 105–117 (2014)].Google Scholar
  4. 4.
    S. A. Bochkarev and V. P. Matveenko, “Stability Analysis of Cylindrical Shells Containing a Fluid with Axial and Circumferential Velocity Components,” Prikl. Mekh. Tekh. Fiz. 53 (5), 155–165 (2012) [J. Appl. Mech. Tech. Phys. 53 (5), 768–776 (2012)].zbMATHGoogle Scholar
  5. 5.
    M. A. Il’gamov, “Rearrangement of Harmonics during Bending of a Cylindrical Shell under Dynamic Compression,” Prikl. Mekh. Tekh. Fiz. 52 (3), 167–174 (2011) [J. Appl. Mech. Tech. Phys. 52 (3), 471–477 (2011)].zbMATHGoogle Scholar
  6. 6.
    R. Wang, M. Han, Z. Huang, and Q. Yan, “An Experimental Study on the Dynamic Axial Plastic Buckling of Cylindrical Shells,” Int. J. Impact Eng. 1 (3), 249–256 (1983).CrossRefGoogle Scholar
  7. 7.
    B. A. Gordienko, “Buckling of Inelastic Cylindrical Shells under Axial Impact,” Arch. Mech. 24, 383–394 (1972).zbMATHGoogle Scholar
  8. 8.
    R. A. Alashti and S. A. Ahmadi, “Buckling of Imperfect Thick Cylindrical Shells and Curved Panels with Different Boundary Conditions under External Pressure,” J. Theor. Appl. Mech. 52 (1), 25–36 (2014).Google Scholar
  9. 9.
    X. Xu, Y. Ma, C. W. Lim, and H. Chu, “Dynamic Buckling of Cylindrical Shells Subject to an Axial Impact in a Symplectic System,” Int. J. Solids Structures 43 (13), 3905–3919 (2006).CrossRefzbMATHGoogle Scholar
  10. 10.
    Q. Han, S. Y. Zhang, and G. T. Yang, “The Bifurcation Problem Caused by the Propagation of the Axial Stress Wave and its Reflection in an Ideal Columns,” Acta Mech. Solida Sinica 19 (3), 199–206 (1998).Google Scholar
  11. 11.
    L. Azrar, B. Cochelin, N. Damil, and M. Potier-Ferry, “An Asymptotic-Numerical Method to Compute the Postbuckling Behaviour of Elastic Plates and Shells,” Int. J. Num. Meth. Eng. 36 (8), 1251–1277 (2010).CrossRefzbMATHGoogle Scholar
  12. 12.
    D. Karagiozova and N. Jones, “Dynamic Elastic-Plastic Buckling of Circular Cylindrical Shells under Axial Impact,” Int. J. Solids Struct. 37 (14), 2005–2034 (2000).CrossRefzbMATHGoogle Scholar
  13. 13.
    Z. J. Han, G. Q. Cheng, H. W. Ma, and S. Y. Zhang, “Dynamic Buckling of Elastic-Plastic Column Impacted by Rigid Body,” Appl. Math. Mech. 27 (3), 377–382 (2006).CrossRefzbMATHGoogle Scholar
  14. 14.
    X. J. Jiao and J. M. Ma, “Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact,” Appl. Math. Mech. 36 (4), 393–403 (2015).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of Aeronautics and AstronauticsFudan UniversityShanghaiChina

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