8.7. Results and Discussion

This section examines the results of both the modal analysis of the global piping system and the nonlinear static analysis of the local elbows:

8.7.1. Global Piping System: Modal Analysis Results

Following is a comparison of the fundament natural frequency of entire piping system with the expected experimental result [1]:

Fundamental Frequency of Entire Nuclear Piping System
Modal Analysis Results Measured Value in Experiment
With Prestress Effects Without Prestress Effects
6.3 Hz6 Hz5.9 - 6.3 Hz

The close agreement between the simulation and the expected results validates the methods used in this analysis:

  • Using PIPE289 and ELBOW290 separately for the straight and curved segments, respectively.

  • Defining transition zones (ELBOW) for building the global piping system model.

8.7.2. Local Elbow Models: Nonlinear Static Analysis Results

The final deformed shape of the local ELBOW290 model matches closely with that of the local SHELL281 model, as shown:

Figure 8.9: USUM Plot Comparison: Local ELBOW290 and SHELL281 Models

USUM Plot Comparison: Local ELBOW290 and SHELL281 Models

Von Mises stress and total mechanical strain for both models are shown respectively in the following figures:

Figure 8.10: Von Mises Stress Comparison: Local ELBOW290 and SHELL281 Models

Von Mises Stress Comparison: Local ELBOW290 and SHELL281 Models

Figure 8.11: Von Mises Strain Comparison: Local ELBOW290 and SHELL281 Models

Von Mises Strain Comparison: Local ELBOW290 and SHELL281 Models

Again, the close agreement between the stress and strain results from the two models is apparent.

Following is a comparison of the local ELBOW290 and SHELL281 elbow models in terms of computational efficiency:

ELBOW290 Local Elbow Model SHELL281 Local Elbow Model
Number of elements in the FEA model1003009
Simulation time requiredSimulation time for the ELBOW290 model is observed to be approximately 53 percent less than that of the SHELL281 model
Disk usageDisk space usage for the ELBOW290 model is observed to be approximately 64 percent less than that of the SHELL281 model.

While offering simplicity for line-based modeling, the ELBOW290 element is capable of producing an accurate global response as well as detailed local solutions for a piping system. ELBOW290 is ideal for modeling bends in the pipe systems or straight-pipe segments that may undergo significant cross-section deformation.