Displacement Governing Equations of Moderately Thick Cylindrical Shallow Shells by Transverse Shearing Deformation and the General Solution

Abstract:

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Displacement fundamental equations of the moderately thick cylindrical shallow shells concerning five independent variables, i.e. five middle surface displacements are established based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Three assistant displacement functions are introduced to solve the equations, which are tenth-order differential equations with variable coefficient; and then five second-order differential equations are converted into a second-order differential equation and two fourth-order transition differential equations using the Cauchy-Riemann condition, afterwards another assistant displacement function is introduced to build its decoupled governing differential equations, finally five displacement components through four assistant displacement functions are obtained.

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Periodical:

Advanced Materials Research (Volumes 291-294)

Edited by:

Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu

Pages:

2066-2070

DOI:

10.4028/www.scientific.net/AMR.291-294.2066

Citation:

H. R. Huang et al., "Displacement Governing Equations of Moderately Thick Cylindrical Shallow Shells by Transverse Shearing Deformation and the General Solution", Advanced Materials Research, Vols. 291-294, pp. 2066-2070, 2011

Online since:

July 2011

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Price:

$38.00

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[2] Fu Bao He, Ya Peng Sheng: Theory of Plates and Shells (Xi'an Jiaotong University Press, Xi'an, 1993).

[3] Hui Rong Huang, Yi Huang, Displacemental vibration equations of thick shells of revolution considering transverse shear deformation, J. Spatial Structures (In Chinese), Vol. 10(1) ( 2003), p.3.

[4] Hui Rong Huang, Ji Ping Hao, Yi Huang, Vibration equations of the thick flat shells by transvers shearing defomation", Journal of Xi, an University of Architecture & Technology(In Chinese), Vol. 41(5) (2009), p.620.

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