Static Responses of Fifth-Order Polynomial Shaped Shell under Hydrostatic Pressure
DOI:
https://doi.org/10.14456/rmutlengj.2025.5Keywords:
Static Responses, Fifth-Order Polynomial Shaped Shell, Hydrostatic Pressure, Differential Geometry, Principle of Virtual WorkAbstract
This paper presents the static responses of the fifth-order polynomial shaped shell that supports the hydrostatic pressure. The geometry of the fifth-order polynomial shaped shell was computed by the differential geometry. The model of fifth-order polynomial shaped shell was desighed by using one-dimensional beam elements, which divided along the shell radius. In this study, the shell was separeted into 2 regions for preventing "dZ/dr=∞" and reducing the errors of result at equator plane. At the junction of two regions, was defined the function values, of displacements and continuous slopes The energy function of the shell can be derived by the principle of virtual work, and the static responses of the shell can be obtained by the finite element method.The results indicate that the sea level, shell thickness, and elastic modulus affec the displacement of the fifth-order polynomial shaped shell.
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