Modal analysis for a CANTILEVER BEAM

In summary: Using-Abaqus-Version-2In summary, you would need to use a book such as "Modal Analysis of Cantilever Beam Using Abaqus" to calculate the vibrational modes of a beam.
  • #1
ACT
13
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Hi there,

I am a beginner and I need to do analytical derivation of a beam and model it in matlab.

the beam is cantilever and it is excited at its cantilever end

any hints to start?

Cheers
 
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  • #2
Have you learned how to derive the equations of state for a beam through multiple integrations of its loading or shear force diagrams?
 
  • #3
Mech_Engineer said:
Have you learned how to derive the equations of state for a beam through multiple integrations of its loading or shear force diagrams?

nto really! would u recommend a book please? thanks
 
  • #4
[Vibration analysis] Timoskenko beam Vs.Euler-bernoulli beam ?

Hello,

I am looking for explanations and detailed studies or even brief ones about the differences in Vibration analysis and dynamic studies as well as static analysis between

Timoskenko beam and .Euler-bernoulli beam

when should i use Euler-bernoulli beam?

Thanks
 
  • #5
You shouldn't make a new thread each time you have a single new question, just ask in the related thread instead...

Anyway, they are two approximations that take into account a different depth of effects in the beam...

http://en.wikipedia.org/wiki/Timoshenko_beam_theory

http://en.wikipedia.org/wiki/Euler-Bernoulli_beam_equation

Timoshenko theory takes into account shear deformation, rotational inertia, and other effects while Euler-Bernoulli is a simple but effective theory that is easier to understand an solve for, but may be less accurate depending on the complex loading, geometry, or deflection of the beam.

In any case, it is necessary that a certain degree of "engineering discretion" is used to decide which theory is best for your application and how improtant and accurate a result will be.
 
  • #6
Mech_Engineer said:
Have you learned how to derive the equations of state for a beam through multiple integrations of its loading or shear force diagrams?

am not quite sue what you mean here ?! :confused:
 
  • #8
It sounds to me like this is a homework question, have you done any looking in your textbook on how to calculate the vibrational modes of a beam?
 
  • #9
Here's our project on modal analysis of cantilever beam using Abaqus
http://www.scribd.com/doc/96781678/Modal-Analysis-of-Cantilever-Beam
 

1. What is modal analysis for a cantilever beam?

Modal analysis for a cantilever beam is a technique used to determine the natural frequencies and mode shapes of a cantilever beam. It involves calculating the dynamic response of the beam to an applied force or excitation.

2. Why is modal analysis important for a cantilever beam?

Modal analysis is important for a cantilever beam because it allows engineers to understand the behavior of the beam under different loading conditions. This information is crucial for designing and optimizing the beam's performance and preventing failure.

3. What factors affect the natural frequencies of a cantilever beam?

The natural frequencies of a cantilever beam are affected by several factors, including the beam's material properties, geometry, and boundary conditions. The length and cross-sectional area of the beam also play a role in determining its natural frequencies.

4. How is modal analysis performed for a cantilever beam?

Modal analysis for a cantilever beam is typically performed using computer software, such as finite element analysis (FEA) software. The beam is modeled using its geometry, material properties, and boundary conditions, and the software calculates the natural frequencies and mode shapes.

5. What are some applications of modal analysis for a cantilever beam?

Modal analysis for a cantilever beam has numerous practical applications, including in the aerospace, automotive, and civil engineering fields. It can be used to design and optimize structures, troubleshoot vibration issues, and predict failure modes. It is also useful in quality control and structural health monitoring.

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