Free vibration in 2DOF spring mass systems

In summary, free vibration in two-degree-of-freedom (2DOF) spring-mass systems involves the analysis of the system's natural frequencies and mode shapes. The behavior of such systems can be described using equations of motion derived from Newton's second law or Lagrange's equations. The system's configuration, characterized by the arrangement of springs and masses, influences the coupling between the degrees of freedom. The eigenvalue problem that arises from the system's characteristic equation reveals the natural frequencies, while the corresponding eigenvectors indicate the mode shapes. Understanding these dynamics is crucial for applications in engineering and design, particularly in ensuring stability and resilience in structures subjected to dynamic loads.
  • #1
M2H37
1
0
Homework Statement
Identify the experimental value of the natural frequencies and mode shapes using the graphs obtained from the experimental data
Relevant Equations
Unsure
I am completely new to this subject and I am trying to find out how I read data off a displacement vs time graph to find the natural frequencies and mode shapes. Lecturer hasn't provided any materials on graphs, just looking for some help and where to go so I can understand it. Thank you
 
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  • #2
Hello @M2H37 ,
:welcome: ##\qquad ##!​

You've come to the right place for help !
For good assistance, it's best to ask answerable questions: we need you to point us in the direction of assistance that is useful for you. The more specific, the better.

In this case: find a typical exercise with a "displacement vs time graph" and point out what it is you don't undestand.

You're new to the subject, so I don't expect a highbrow mathematical approach is appropriate at this point.

##\ ##
 
  • #3
The statement does not mention anything about displacement versus time graphs. Why do yo think that such graphs are relevant to the question? Is the assignment statement as given in the OP or there is more to it?
 
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