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

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 291-294)
• Pages: 2066-2070
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.291-294.2066
• 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 Cylindrical Shallow Shells, Moderately Thick Shells, Transverse Shearing Deformation

References

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

[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