Menu

Executive Programs

Workshops

Projects

Blogs

Careers

Placements

Student Reviews


For Business


More

Academic Training

Informative Articles

Find Jobs

We are Hiring!


All Courses

Choose a category

Mechanical

Electrical

Civil

Computer Science

Electronics

Offline Program

All Courses

All Courses

logo

CHOOSE A CATEGORY

Mechanical

Electrical

Civil

Computer Science

Electronics

Offline Program

Top Job Leading Courses

Automotive

CFD

FEA

Design

MBD

Med Tech

Courses by Software

Design

Solver

Automation

Vehicle Dynamics

CFD Solver

Preprocessor

Courses by Semester

First Year

Second Year

Third Year

Fourth Year

Courses by Domain

Automotive

CFD

Design

FEA

Tool-focused Courses

Design

Solver

Automation

Preprocessor

CFD Solver

Vehicle Dynamics

Machine learning

Machine Learning and AI

POPULAR COURSES

coursePost Graduate Program in Hybrid Electric Vehicle Design and Analysis
coursePost Graduate Program in Computational Fluid Dynamics
coursePost Graduate Program in CAD
coursePost Graduate Program in CAE
coursePost Graduate Program in Manufacturing Design
coursePost Graduate Program in Computational Design and Pre-processing
coursePost Graduate Program in Complete Passenger Car Design & Product Development
Executive Programs
Workshops
For Business

Success Stories

Placements

Student Reviews

More

Projects

Blogs

Academic Training

Find Jobs

Informative Articles

We're Hiring!

phone+91 9342691281Log in
  1. Home/
  2. Anandita Gautam/
  3. Frequency Analysis of a rotating shaft

Frequency Analysis of a rotating shaft

Introduction: An object's natural frequency is the frequency or rate that it vibrates naturally when disturbed. Objects can possess more than one natural frequency and we typically use harmonic oscillators as a tool for modeling the natural frequency of a particular object. We can apply an unnatural or forced frequency…

  • FEA
  • Anandita Gautam

    updated on 09 Sep 2022

Introduction:

An object's natural frequency is the frequency or rate that it vibrates naturally when disturbed. Objects can possess more than one natural frequency and we typically use harmonic oscillators as a tool for modeling the natural frequency of a particular object.

We can apply an unnatural or forced frequency to an object that equals the natural frequency of an object. In cases such as this, we are in effect creating resonance, i.e., oscillations at the object’s natural frequency. If this occurs in certain structures, the oscillations will continue to increase in magnitude, thus resulting in structural failure.

When a system’s oscillations are equivalent to its natural frequency, it forms motion patterns. We call these certain characteristic frequencies an object’s normal mode. Moreover, natural frequency consists of various primary factors and they are as follows:

  • We call the frequency in which an object naturally vibrates, its natural frequency.

  • We can utilize harmonic oscillators as tools to model an object’s natural frequency.

  • Natural frequencies are those that occur naturally when we disturb an object in a physical manner, whereas objects that vibrate in accordance with the application of a particular rate are called forced frequencies.

  • If we apply a forced frequency that is equivalent to an object’s natural frequency, the object will encounter resonance.

Modes of Vibration:

A mode shapes is the deformation that the component would show when vibrating at the natural frequency.

The terms mode shapes or natural vibration shape are used in structural dynamics. A mode shape describes the deformation that the component would show when vibrating at the natural frequency. However, the vibration and deformation do not occur until there is an excitation. Depending on this excitation, the result is the total vibration of a structural component, which is basically comprised of the individual vibration shapes.

Thus, natural frequencies and mode shapes indicate how the structure behaves under a dynamic load. The amplitudes of mode shapesare not suitable for a technical quantitative evaluation of the structural component (they are properly scaled in the solution). Rather, the mode shape characteristic is suitable for the qualitative assessment of the dynamics of the structural component.

Modes are the properties of a particular structure that depends on:

  1. Material properties (such as the stiffness, damping, etc)
  2. Boundary conditions applied to the structure

Effective mass participation factor:

The effective mass participation factor represents the percentage of the system mass that participates in a particular mode. It provides a measure of the energy contained within each resonant mode. A mode with a large EMPF is usually a significant contributor to the dynamic response of a system.

 

Objectives:

  1. To perform Frequency analysis of rotating shaft by finding out the critical frequencies by determining different mode shapes.
  2. To List the Resonant Frequencies and Effective mass participation factors.

 

Procedure:

The entire process of FEA analysis is divided into three parts:

1. Pre-Processing

  • Geometry Creation

        The following dimensions are used to create a CAD Model of a Roller: 

               

         

          The following model has been created using tools such as Revolve, Boss Extrude etc.

               

  • Generation of Mesh

        Mesh details are given in the below: 

          

        The mesh is applied to the model:

           

 

  • Assignment of Material properties

        Alloy Steel is applied to the Roller and the following table illustrates the material properties:

            

  • Boundary Conditions

        Bearing fixtures are applied to the ends of the stepped ends of the rod.

            

 

2. Processing

  • The governing equations are applied to the discretized elements and selected variables at selected points are calculated.

3. Post-Processing 

  • Contours and Modes obtained:

        1st Mode:

             

 

         2nd Mode:

             

 

         3rd Mode:

             

 

        4th Mode:

             

 

        5th Mode:

            

 

        The following tables depict the list of resonant frequencies and the EMP Factors:

 

        Resonant Frequencies:

          

 

        EMP Factors:

         

 

  • Interpret the Results

        The next section will talk about the conclusions and the results obtained.

 

Conclusions:

  1. The first mode shape has very low critical frequency because the plate at the center is placed at one of the antinodes and hence which is not allowing it to have movement in any direction.
  2. The 2nd mode shape is half-wave and gives the 1st critical mode shape with movement in Y direction which has 2 nodes and 1 anti-node. 
  3. The 3rd mode shape is half-wave and gives the 1st critical mode shape with movement in X direction which has 2 nodes and 1 anti-node. 
  4. The 4th mode shape is full-wave and gives 2nd critical mode shape with movement in the Y direction which has 3 nodes and 2 antinodes. Here with mode shape 4 (the full-wave), the motion is all in the global Y direction. 
  5. The 5th mode shape is full-wave and gives 2nd critical mode shape with movement in the X direction which has 3 nodes and 2 antinodes. Here with mode shape 4 (the full-wave), the motion is all in the global X direction. 
 

Leave a comment

Thanks for choosing to leave a comment. Please keep in mind that all the comments are moderated as per our comment policy, and your email will not be published for privacy reasons. Please leave a personal & meaningful conversation.

Please  login to add a comment

Other comments...

No comments yet!
Be the first to add a comment

Read more Projects by Anandita Gautam (8)

Frequency Analysis of a rotating shaft

Objective:

Introduction: An object's natural frequency is the frequency or rate that it vibrates naturally when disturbed. Objects can possess more than one natural frequency and we typically use harmonic oscillators as a tool for modeling the natural frequency of a particular object. We can apply an unnatural or forced frequency…

calendar

09 Sep 2022 01:53 PM IST

  • FEA
Read more

MBD Simulation on IC Engine Valve Train

Objective:

Aim: To model and perform motion analysis on Valve Train   Introduction: A valvetrain is a component that is designed to open and close the intake and exhaust valves so that air/fuel mixture can enter and leave the combustion chamber as gases. Nowadays, engines are designed with overhead cam assemblies which are known…

calendar

22 Dec 2020 04:18 PM IST

    Read more

    MBD Simulation on a Piston Assembly

    Objective:

    Aim: To model and perform motion analysis with different piston positions   Introduction: A piston is a component of reciprocating engines, reciprocating pumps, gas compressors, hydraulic cylinders and pneumatic cylinders, among other similar mechanisms. It is the moving component that is contained by a…

    calendar

    20 Dec 2020 07:37 PM IST

      Read more

      Planetary Gear

      Objective:

      Aim: To model and run a motion analysis on Planetary Gear System.   Introduction: An epicyclic gear train or planetary gear consists of 2-4 gears mounted so that the center of one gear revolves around the center of the other. The planet and sun gears mesh so that their pitch circles roll…

      calendar

      15 Dec 2020 03:36 PM IST

        Read more

        Schedule a counselling session

        Please enter your name
        Please enter a valid email
        Please enter a valid number

        Related Courses

        coursecard

        FEA using SOLIDWORKS

        4.8

        4 Hours of Content

        coursecardcoursetype

        Post Graduate Program in Automation & Pre-Processing for FEA & CFD Analysis

        4.7

        81 Hours of Content

        coursecardcoursetype

        Mechanical Engineering Essentials Program

        4.7

        21 Hours of Content

        coursecard

        LS-DYNA for Structural Mechanics/FEA

        4.8

        19 Hours of Content

        coursecard

        Crashworthiness Analysis using HyperMesh and Radioss

        4.8

        25 Hours of Content

        Schedule a counselling session

        Please enter your name
        Please enter a valid email
        Please enter a valid number

        logo

        Skill-Lync offers industry relevant advanced engineering courses for engineering students by partnering with industry experts.

        https://d27yxarlh48w6q.cloudfront.net/web/v1/images/facebook.svghttps://d27yxarlh48w6q.cloudfront.net/web/v1/images/insta.svghttps://d27yxarlh48w6q.cloudfront.net/web/v1/images/twitter.svghttps://d27yxarlh48w6q.cloudfront.net/web/v1/images/youtube.svghttps://d27yxarlh48w6q.cloudfront.net/web/v1/images/linkedin.svg

        Our Company

        News & EventsBlogCareersGrievance RedressalSkill-Lync ReviewsTermsPrivacy PolicyBecome an Affiliate
        map
        EpowerX Learning Technologies Pvt Ltd.
        4th Floor, BLOCK-B, Velachery - Tambaram Main Rd, Ram Nagar South, Madipakkam, Chennai, Tamil Nadu 600042.
        mail
        info@skill-lync.com
        mail
        ITgrievance@skill-lync.com

        Top Individual Courses

        Computational Combustion Using Python and CanteraIntroduction to Physical Modeling using SimscapeIntroduction to Structural Analysis using ANSYS WorkbenchIntroduction to Structural Analysis using ANSYS Workbench

        Top PG Programs

        Post Graduate Program in Hybrid Electric Vehicle Design and AnalysisPost Graduate Program in Computational Fluid DynamicsPost Graduate Program in CADPost Graduate Program in Electric Vehicle Design & Development

        Skill-Lync Plus

        Executive Program in Electric Vehicle Embedded SoftwareExecutive Program in Electric Vehicle DesignExecutive Program in Cybersecurity

        Trending Blogs

        How to Learn CAD Design: Step-by-Step GuideGD&T Basics: How to Read and Apply GD&T Symbols SolidWorks vs Creo: Best CAD Software to Learn for Mechanical Engineers Engineering Edtech in India: Busting Myths & Building Careers How to Get a Core Mechanical Engineering Job After Graduation

        © 2025 Skill-Lync Inc. All Rights Reserved.

                    Do You Want To Showcase Your Technical Skills?
                    Sign-Up for our projects.