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 radial displacement pressure vessel across the<br>thickness (inner radius a=125mm, outer radius<br>b=200mm) follows a differential equation<br>d'u 1 du<br>u<br>+<br>dr?<br>r dr r?<br>In a condition of internal pressure, the displacement of inside (r=a and<br>outside r=b) should be set as 0.0968275mm and 0.0769240 mm<br>respectively.<br>(a) Illustrate the cross-section of the pressure vessel and the boundary<br>condition of the displacement. Next, illustrate the 1 dimensional<br>model of across the thickness if divided by four nodes with the same<br>distance (four equidistance nodes).<br>(b) Determine the radial displacement profile using the Finite<br>Difference<br>

Extracted 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

Jun 04, 2022
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