Displacement Fundamental Equations and Analysis of Governing Equations of the Circular Moderately Thick Shallow Spherical Shells

Abstract:

Displacement fundamental equations of moderately thick shallow spherical shells in polar coordinates 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. Four assistant displacement functions are introduced to solve displacement fundamental equations of circular moderately thick shallow spherical shells , which are tenth-order differential equations with variable coefficient, then the decoupled governing differential equations are built up, and five displacement components through four assistant displacement functions are obtained.

• Periodical: Advanced Materials Research (Volumes 291-294)
• Pages: 2071-2075
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.291-294.2071
• Online since: July 2011
• Authors: Hui Rong Huang, Ji Ping Hao, Hai Xia Zhang, Yi Huang
• Keywords: Displacement Functions, Displacement Fundamental Equations, Governing Equations, Moderately Thick Shallow Shells, Moderately Thick Shallow Spherical Shells, Transverse Shearing Deformation

References

[1] Zhi Yuan Cao: Theory of Plates and Shells Vibration (China Railway Press, Beijing, 1989).

[2] 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

[3] 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