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Design and Validation of a MIMO Nonlinear Vibration Test Rig with Hardening Stiffness Characteristics in Multiple Degrees of Freedom

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2017, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
Historically, efforts towards vibration testing for nonlinear applications have been focused on single modes in continuous models or rigid body modes in multiple degree of freedom (MDOF) models with nonlinear connecting elements. The motivation behind the presented thesis work was performing Multiple Input Multiple Output (MIMO) measurements for analysis of the vibration data sets for assisting the development of time domain mathematical models based on Nonlinear Auto-Regressive (Moving Average) with eXogenous input (NAR(MA)X) approach. A nonlinear vibration test rig was designed for acquiring data for research on nonlinear vibrations at the Structural Dynamics Research Laboratory at the University of Cincinnati (UC-SDRL). The pre-manufacturing process for the test rig consisted of hand calculations for setting the dimensions of the test specimen, creating a model using SolidWorks, and Finite Element Analysis (FEA) using ANSYS Static Structural and Modal modules. Post manufacturing and installation, several tests were carried out on the test rig to validate the simulation results. The experimental static force displacement curve was seen to match closely with simulation results, as did the modal frequencies and shape vectors. Step relaxation was chosen as the input technique for several reasons that rendered it the best option available. Time domain data analysis as carried out using the Unified Matrix Polynomial Approach (UMPA) on small contiguous chunks of data. This was helpful to visualize frequency shifts with respect to time and observe the nonlinear behavior of the specimen in the test rig. The results match closely with the expected values for the modal frequencies and the nonlinear behavior desired from the design is experimentally seen and documented.
Randall Allemang, Ph.D. (Committee Chair)
David Brown, Ph.D. (Committee Member)
Allyn Phillips, Ph.D. (Committee Member)
134 p.

Recommended Citations

Citations

  • Pandiya, N. (2017). Design and Validation of a MIMO Nonlinear Vibration Test Rig with Hardening Stiffness Characteristics in Multiple Degrees of Freedom [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504879018436068

    APA Style (7th edition)

  • Pandiya, Nimish. Design and Validation of a MIMO Nonlinear Vibration Test Rig with Hardening Stiffness Characteristics in Multiple Degrees of Freedom. 2017. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504879018436068.

    MLA Style (8th edition)

  • Pandiya, Nimish. "Design and Validation of a MIMO Nonlinear Vibration Test Rig with Hardening Stiffness Characteristics in Multiple Degrees of Freedom." Master's thesis, University of Cincinnati, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504879018436068

    Chicago Manual of Style (17th edition)