Project Overview
In this training, we first calculate the natural frequency of torsional vibration using the Analytical Solution. Then, the same problem is analyzed using the Abaqus software. Finally, the results obtained from Abaqus are compared with those obtained from the Analytical Solution.
Model Description
As shown in the model, the system consists of a shaft and a plate. Both the shaft and the plate are made of steel.
The model is used to investigate the torsional vibration of the system and to determine its natural frequency.
Analytical Solution
First, the natural frequency of torsional vibration is calculated using the Analytical Solution.
The natural frequency of torsional vibration obtained from the Analytical Solution is equal to 8.966 Hertz.
Abaqus Simulation
In the next step, the same problem is modeled and analyzed using the Abaqus software to obtain the natural frequency of torsional vibration.
The natural frequency of torsional vibration obtained from the Abaqus software is equal to 8.7538 Hertz.
Identification of the Torsional Mode
In the Abaqus results, the torsional vibration frequency is identified from the mode shape. The third mode corresponds to the torsional vibration of the system.
The mode shape is used to identify which mode is associated with the torsional frequency.
Comparison of Results
The results obtained from the Abaqus software are compared with those obtained from the Analytical Solution.
As observed from the results, the natural frequency obtained from the Abaqus software is in very good agreement with the result obtained from the Analytical Solution.
The natural frequency obtained from Abaqus is 8.7538 Hz, while the value obtained from the Analytical Solution is 8.966 Hz.
The difference between the Abaqus result and the Analytical Solution is approximately 2.37%.
Mechanical Vibrations
The problem is related to the topics covered in the Mechanical Vibrations book and provides a useful reference for studying the longitudinal vibration of mechanical systems.
The analytical result is used as a reference to evaluate the numerical result obtained from Abaqus.
What You Will Learn
- How to model a shaft and plate in Abaqus.
- How to define steel material properties in Abaqus.
- How to perform a natural frequency analysis.
- How to calculate the natural frequency of torsional vibration using the Analytical Solution.
- How to obtain the natural frequency using Abaqus.
- How to compare Abaqus results with the Analytical Solution.
- How to evaluate the accuracy of a numerical vibration model.
Key Features
- Torsional vibration analysis.
- Shaft and plate model.
- Steel material.
- Natural frequency calculation.
- Analytical Solution.
- Abaqus numerical simulation.
- Comparison between Abaqus and Analytical Solution.
- Free Abaqus tutorial.
Project Information
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Free Tutorial
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