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Research Papers: Design and Analysis

A New Approach to Elastodynamic Response of Cylindrical Shell Based on Developed Solution Structure Theorem for Wave Equation

[+] Author and Article Information
Shugen Xu

 College of Chemical Engineering, China University of Petroleum, Qingdao 266555, China;  Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Chinaxsg123@163.com

Weiqiang Wang1

 School of Mechanical Engineering, Shandong University; Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Shandong, Chinawqwang@sdu.edu.cn

Yuliang Cui

 School of Mechanical Engineering, Shandong University; Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Shandong, Chinayuliangcui@163.com

Yan Liu

 School of Mechanical Engineering, Shandong University; Engineering and Technology Research Center for Special Equipment Safety of Shandong Province, Jinan 250061, Shandong, Chinaxxdly@163.com

1

Corresponding author.

J. Pressure Vessel Technol 134(1), 011210 (Dec 07, 2011) (7 pages) doi:10.1115/1.4004618 History: Received August 19, 2010; Revised May 26, 2011; Published December 07, 2011; Online December 07, 2011

In this paper, a developed solution structure theorem has been provided. It can be used to solve the wave equation about the structural response of cylinder under the dynamic pressure. This new approach also can be used to solve a batch of partial differential equations having the similar form. A detailed derivation process has been given to show how the solution is obtained. Finally, a practical example is presented, and the finite element result is also provided to validate the accuracy of methodology proposed in this paper. The result shows that it has a high accuracy for solving the elastodynamic response of the cylinder.

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Figures

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Figure 1

Radial displacement at r = 755 mm of monobloc cylinder

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Figure 2

Hoop stress at r = 755 mm of monobloc cylinder

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Figure 3

Radial stress at r = 755 mm of monobloc cylinder

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Figure 4

Axial stress at r = 755 mm of monobloc cylinder

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Figure 5

The finite element model and loading

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Figure 6

The theoretical and numerical solutions of radial displacement (r = 755 mm)

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Figure 7

The theoretical and numerical solutions of hoop stress (r = 755 mm)

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