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LS Dyna

LS Dyna

Topics related to LS-DYNA, Autodyn, Explicit STR and more.

Eigenvalue of a SDOF system

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    • Tonmoy
      Subscriber

      I have been playing with LS-Dyna for the past couple of months and I have some questions (or confusions) about modeling a single degree-of-freedom (SDOF) system with the software.

      Recently, I was trying to model a spring-mass system as an undamped SDOF system for applying base acceleration using the *LOAD_BODY_X keyword card. According to dynasupport, the *ELEMENT_DISCRETE has only one DOF and stiffness can be inserted directly, which acts from n1 to n2. My intention was to record the displacement response and understand if my applied base acceleration is matching with my analytical solution. I assumed the stiffness of the spring is 174E5 with a nodal mass of 0.793.

      To verify the system's mass and stiffness, I wanted to do an eigenvalue analysis, instructing the *CONTROL_IMPLICIT_EIGENVALUE deck to extract the fundamental period. Interestingly, the fundamental period it provided was very low, mismatching my analytical solution.

      Later, after requesting the eigensolver to extract 10 solutions, it provided 3 - from which only the last one matches my analytical frequency.

      Thus, to circumvent any mode interference, I applied boundary conditions at the free-end of the spring. This time, applying the same keyword cards, I did get one frequency, but it was much more higher (2799) than the calculated original (745). Unfortunately, I got the same thing when I applied the same input deck replacing the discrete with a beam model created before.

      I think the following decks are enough for replicating the problem. I would be grateful if someone can help me with this (and subsequent questions).

      (Edit: Removed the input deck for better accessibility. If anyone want to model similar system, please refer to https://www.dynaexamples.com/introduction/Introduction/example-17)

    • Andreas Koutras
      Ansys Employee

       

      Hello, I ran your input and got this result in eigout, which is the correct one.

                                                               |—— frequency —–|
              MODE    EIGENVALUE       RADIANS        CYCLES        PERIOD
                 1   2.193480E+07   4.683460E+03   7.453959E+02   1.341569E-03

      Which LS-DYNA version did you use?

       

      • Tonmoy
        Subscriber

        Hello Dr. Koutras,

        Thank you for the prompt response. With the same code, my eigout looks like the one below:

                                                        |—— frequency —–|
                MODE    EIGENVALUE       RADIANS        CYCLES        PERIOD
                   1   3.093812E+08   1.758924E+04   2.799414E+03   3.572176E-04

        and I am using LS-Dyna mpp d R11.2.1 (revision R11.2-181-gcb80e4d4cd). 

         

    • Andreas Koutras
      Ansys Employee

      Hello Tonmoy, thanks for your reply. It seems the issue has been fixed going from version R12.0.0 and on. So please use a newer version. The latest release is R14.0.0. 

      • Tonmoy
        Subscriber

         

        Hi Dr. Koutras,

         

        Thank you for your reply. I will let this know to my supervisors.

         

        I have another question related to the same system (analyzed with the same LS-Dyna version), should I also post it here?

         

    • Andreas Koutras
      Ansys Employee

      Hello, you can post any questions on the same topic, namely "Eigenvalue of a SDOF system", here. For a different topic, please create a new thread.  New threads usually gain more visibility.

      • Tonmoy
        Subscriber

        Thank you again Dr. Koutras. I am marking this thread as answered and closed.

        I really appreaciated your help for troubleshooting this issue.

         

        Sincerely,

        Tonmoy.

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