0
Technical Brief

A New Method to the Elastodynamic Response of a Spherical Shell Under the Impact Load

[+] Author and Article Information
Shugen Xu

College of Chemical Engineering,
China University of Petroleum (Huadong),
Qingdao 266580, China
e-mail: xsg123@163.com

Yang Wei

College of Chemical Engineering,
China University of Petroleum (Huadong), Qingdao 266580, China
e-mail: weiyangupc@163.com

Chong Wang

College of Chemical Engineering,
China University of Petroleum (Huadong),
Qingdao 266580, China
e-mail: 327438097@qq.com

Weiqiang Wang

School of Mechanical Engineering,
Shandong University,
Jinan 250061, China
e-mail: wqwang@sdu.edu.cn

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 22, 2013; final manuscript received November 16, 2015; published online February 5, 2016. Assoc. Editor: Hakim A. Bouzid.

J. Pressure Vessel Technol 138(3), 034501 (Feb 05, 2016) (5 pages) Paper No: PVT-13-1040; doi: 10.1115/1.4032108 History: Received February 22, 2013; Revised November 16, 2015

In this paper, a new methodology for solving response of a spherical shell based on developed solution structure theorem has been proposed. It can be used to solve the wave equation about the structural dynamic response of a spherical shell under the impact pressure. The proposed method can be used to solve a batch of partial differential equations having the similar governing equation with different initial and boundary conditions. A detailed solving procedure has been provided to show how to use this method correctly. Finally, a practical example is provided to show how to use the proposed method to solving the elastodynamic response of a spherical shell under inner impact load.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Cinelli, G. , 1965, “ An Extension of the Finite Hankel Transform and Applications,” Int. J. Eng. Sci., 3(5), pp. 539–559. [CrossRef]
Cinelli, G. , 1966, “ Dynamic Vibrations and Stresses in Elastic Cylinders and Spheres,” ASME J. Appl. Mech., 33(4), pp. 825–830. [CrossRef]
Baker, W. E. , Hu, W. C. L. , and Jackson, T. R. , 1966, “ Elastic Response of Thin Spherical Shells to Axisymmetric Blast Loading,” ASME J. Appl. Mech., 33(4), pp. 800–806. [CrossRef]
Chou, P. C. , and Koenig, H. A. , 1966, “ A Unified Approach to Cylindrical and Spherical Elastic Waves by Method of Characteristics,” ASME J. Appl. Mech., 33(l), pp. 159–167. [CrossRef]
Rose, J. L. , Chou, S. C. , and Chou, P. C. , 1973, “ Vibration Analysis of Thick-Walled Spheres and Cylinders,” J. Acoust. Soc. Am., 53(3), pp. 771–776. [CrossRef]
Pao, Y. H. , and Ceranoglu, A. N. , 1978, “ Determination of Transient Responses of a Thick-Walled Spherical Shell by the Ray Theory,” ASME J. Appl. Mech., 45(1), pp. 114–122. [CrossRef]
Wang, X. , 1994, “ An Elastodynamic Solution for an Anisotropic Hollow Sphere,” Int. J. Solids Struct., 31(7), pp. 903–911. [CrossRef]
Eringen, A. C. , and Sunubi, S. E. , 1975, Elastodynamics Volume II Linear Theory, Academic Press, New York.
Ugural, A. C. , and Fenster, S. K. , 2003, Advanced Strength and Applied Elasticity, 4th ed., Prentice Hall, Upper Saddle River, NJ.
Wang, L. Q. , Zhou, X. S. , and Wei, X. H. , 2007, Heat Conduction: Mathematical Models and Analytical Solutions, Springer, Heidelberg, Germany.
Xu, S. G. , Wang, W. Q. , Cui, Y. L. , and Liu, Y. , 2012, “ A New Approach to Elastodynamic Response of Cylindrical Shell Based on Developed Solution Structure Theorem for Wave Equation,” ASME J. Pressure Vessels, 134(1), p. 0112101.
Ding, H. J. , Wang, H. M. , and Hou, P. F. , 2003, “ The Transient Responses of Piezoelectric Hollow Cylinders for Axisymmetric Plane Strain Problems,” Int. J. Solids Struct., 40(1), pp. 105–123. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Radial displacement history at r = 755 mm of spherical shell

Grahic Jump Location
Fig. 2

Hoop stress history at r = 755 mm of spherical shell

Grahic Jump Location
Fig. 3

Radial stress history at r = 755 mm of spherical shell

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In