Comparative vibration analysis of a slender beam in gravity compensation test and zero-gravity environment

The Space Station mission require an exhaustive engineering study before a manned mission can be put into space. Since the dynamic behavior of an entire assembly cannot be tested on earth, computer models are used as an engineering tool to be able to predict what might happen in space. The main goal of this research is to find a new mathematical model to calculate the first natural frequency of a slender beam in gravity compensation test and in zero-gravity environment. It means that the model should work correctly on the ground and in space. It can help engineers understand the behavior of a beams in space. Theoretical model describes the first natural frequency of a slender beam. The major issues in the beam development are: determine the governing differential equation, obtaining the eigenfunctions from governing equation. These issues apply to both Euler-Bernoulli and energy transfer theories. To get compare analyze for this two environments we are to model the element of Space Station Remote Manipulator System (SSRMS) in gravity compensation test and in zero-gravity environment, using Distributed - Parameter Models use Maple Software. We also use ANSYS Workbench software with normal mode analysis to simulate the beam behavior due to dynamic vibration. In the end, the modern mathematics solution is close to classic model and simulation data. As a result, the modern model can be applied to determine vibrations in gravity compensation test.