ANSYS Case Study: Axisymmetric Analysis of A Pressure Vessel. The pressure vessel shown below is made of cast iron (E = Msi, ν = ) and contains an internal pressure of p = psi. The cylindrical vessel has an inner diameter of 8 in with hemispherical end shi.mobilefile.pw by: 2. Pressure shi.mobilefile.pw - Structural Thermal Analysis of Structural & Thermal Analysis of Pressure Vessel by using Ansys INTRODUCTION A pressure vessel is a closed container designed to hold gases or liquids at a pressure substantially different from the ambient pressure. The pressure differential is dangerous and fatal accidents have occurred in. Dec 18, · Cylindrical pressure vessel is modeled in Ansys Workbench which involve sketch,modify,Constraint,dimension tool,video also contain how to add new plane and c. • APDL (Ansys Parametric Design Language) Commands were used to define lay-up and Element Orientation • Domes were divide in 3 transversal parts to accomodate orientation changes with the capabilities available. • Ansys Workbench and APDL commands were used to model the pressure vessel in this presentation. Stress directions in cylindrical coordinates: Assume the cylinders are 18 inches long and the vessel is pressurized to psi. Here, we will be interested in finding the hoop, axial and radial stresses at the mid-length of the cylinders (@ 9 inches), to neglect the local effects of the end caps.
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- Hoop, Axial and Radial Stresses in Thick-Walled Pressure Vessels
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- Problem Specification
- Space Details
This defines element type 1 as a 2D quadratic 8-node quadrilateral element i.
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In the element type options dialog box that appears, make sure that the Element behavior is set to "Axisymmetric" as shown in the figure below:. Now we must add the three areas together to form one area that defines the pressure vessel geometry. Use your mouse to click on the plate geometry. Once you have clicked on it, the Element Size at Picked Areas dialog box will appear. Enter 0. Although the solver already knows that we are performing an axisymmetric analysis due to an axisymmetric element being used, we still need to place a symmetry constraint on the edges of the model that touch the Y-axis.
You should notice small "S" symbols appear near the lines to indicate that a symmetry boundary condition has been applied.
You will probably get a warning saying that " Both solid model and finite element boundary conditions have been applied to this model. As solid loads are transferred to the nodes or elements, they can overwrite directly applied loads". This is OK just click on Close to dismiss this dialog. Click on all the lines representing the internal wall of the pressure vessel and then click on OK in the picker dialog box. A new window and a dialog box will pop up.
Once the problem has been solved you will get a message to say that the solution is done, close this window when you are ready. Now, only the selected elements will be displayed in any stress contour plots and the rest of the model will be ignored.
Notice that the maximum value is 56, Pa which is reasonably close to our predicted value of 55, Pa.
Notice that the axial stress varies between 22, Pa and 23, Pa - which is, again, reasonably close to our predicted value of 22, Pa. In this case the maximum radial stress is -9, Pa which is very close to our predicted value of 10, Pa. Now if you replot a stress contour you will see the entire model again.
Click here for the log file. The log file for this tutorial may also be used as an input file to automatically run the analysis in ANSYS.
You should notice ANSYS automatically building the finite element model and issuing all the commands detailed above. Search this site. About Us.
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Disclaimer: This tutorial is an educational tool designed to assist those who wish to learn how to use the ANSYS finite element software package. It is not intended as a guide for determining suitable modelling methods or strategies for any application.
Hoop, Axial and Radial Stresses in Thick-Walled Pressure Vessels
The authors of this tutorial have used their best efforts in preparing the tutorial. These efforts include the development, research and testing of the theories and computational models shown in the tutorial. The authors make no warranty of any kind, expressed or implied, with regard to any text or models contained in this tutorial. The authors shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of the text and models provided in this tutorial.
There is no gaurantee that there are no mistakes or errors in the information provided and the authors assume no responsibility for the use of any of the information contained in this tutorial. Figure 1: Details of the Pressure Vessel - all dimensions in mm. An axisymmetric analysis assumes that the geometry and all loads and boundary conditions can be expressed in the XY plane and this plane is then swept degrees around the Y-axis to form the full model.
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An axisymmetric model is appropriate in this case as the geometry of the pressure vessel is axisymmetric and the loading is also axisymmetric. Figure 2 shows an overview of the axisymmetric model we will build: Figure 2: Axisymmetric Solid Model of a Pressure Vessel. Please go back and re-read these tutorials if you cannot remember how to do it.
Overview In this tutorial you will examine the expansion of a pressure vessel due to an internal pressure using ANSYS. Mac Donald.
You will determine the principal stresses in the pressure vessel due to the applied loading and boundary conditions. An axisymmetric solid element will be used for this analysis.
There are standard theories available for the behaviour of thin and thick walled cylinders subjected to internal pressure. These equations can be found in any text book on mechanics of solids or in any reference book. We can use these theories to predict the expected stresses in the pressure vessel due to the applied loading. Mac Donald and is summarised in the table below: An axisymmetric analysis assumes that the geometry and all loads and boundary conditions can be expressed in the XY plane and this plane is then swept degrees around the Y-axis to form the full model.
Click on Options in the Element Types dialog box: In the element type options dialog box that appears, make sure that the Element behavior is set to "Axisymmetric" as shown in the figure below: Click on OK and then click close to close the Element Type dialog box.
In the image above reverse video has been used. If you want to use reverse video i. We are now going to use the Mesh Tool to set the size of the elements to all be a constant size before we begin the meshing process. Click on the geometry in order to mesh it. Your model should now look like this: Step 7: Apply the Boundary Conditions Although the solver already knows that we are performing an axisymmetric analysis due to an axisymmetric element being used, we still need to place a symmetry constraint on the edges of the model that touch the Y-axis.
The "Apply Pres on a Line" dialog box will now appear. Enter as the pressure value as shown below: Click on OK to close the dialog box. The end caps have significantly deformed in comparison to the side wall. The maximum displacement is, however, approximately 2 x 10 -6 m which is well below the yield stress for steel - meaning our assumption of a linear elastic material is valid.
Note that ANSYS, by default, will exaggerate any deformation by scaling it up in order to make it obvious. Clearly something is wrong with this plot. We are seeing very large stress concentrations at the sharp corner where the end caps join the side wall. It is likely that the stress in the side wall itself is quite close to the predicted analytical value.
Change the picking type to "Box" as shown below Now draw a box around the central elements in the side wall, as shown below: Click on OK in the "Select Elements" picker dialog to select all the elements inside the box. The ability to select a subset of a finite element model and only examine the result for that subset. Experience in comparing the results obtained from your finite element model with other results and validating your results against the other results.