• The radial displacement pressure vessel across the thickness (inner radius a=125mm, outer radius b=200mm) follows a differential equation d'u 1 du u dr?'r dr r In a condition of internal pressure, the displacement of inside (r=a and outside r=b) should be set as 0.0968275mm and 0.0769240 mm respectively. (a) Illustrate the cross-section of the pressure vessel and the boundary condition of the displacement. Next, illustrate the 1 dimensional model of across the thickness if divided by four nodes with the same distance (four equidistance nodes).
• The radial displacement pressure vessel across the thickness (inner radius a=125mm, outer radius b=200mm) follows a differential equation d'u 1 du u dr?'r dr r In a condition of internal pressure, the displacement of inside (r=a and outside r=b) should be set as 0.0968275mm and 0.0769240 mm respectively. (a) Illustrate the cross-section of the pressure vessel and the boundary condition of the displacement. Next, illustrate the 1 dimensional model of across the thickness if divided by four nodes with the same distance (four equidistance nodes).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The radial displacement pressure vessel across the
thickness (inner radius a=125mm, outer radius
b=200mm) follows a differential equation
d'u 1 du
u
+
dr?
r dr r?
In a condition of internal pressure, the displacement of inside (r=a and
outside r=b) should be set as 0.0968275mm and 0.0769240 mm
respectively.
(a) Illustrate the cross-section of the pressure vessel and the boundary
condition of the displacement. Next, illustrate the 1 dimensional
model of across the thickness if divided by four nodes with the same
distance (four equidistance nodes).
(b) Determine the radial displacement profile using the Finite
Difference
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