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Abstract
Space inflatable technology is a promising solution to placing large metrology systems in space. Lighter weight, higher packaging efficiency, and easier maintenance are among a few of their advantages over mechanically deployed structures. On the other hand, their large volume after deployment makes them susceptible to disturbances in space. Therefore, vibration control is one major issue for this technology. The present work is an extension of the previous work of the author on continuum modeling of these structures for their vibrations analysis. Kinetic and strain energy expressions of the fundamental lattice elements of a structure are expanded in terms of the nodal displacement components. Certain assumptions are made to reduce the order of strain components in a three-dimensional structure in order to find the equivalent continuum model. Additionally, this work includes the effects of strain rates on the kinetics of these structures. The frequency results for various structures are compared to those of a previous model which neglects such effects. It is shown that the frequency changes are noticeable when the strain rate components are included in the kinetic energy derivations.
Highlights
There has been increasing demands for placing large metrology systems in the Medium Earth Orbit (MEO) due to their improved coverage
A satellite system operating in MEO has to be so large that they cannot be launched on existing rockets (Chmielewski [1])
In all the previous work on continuum modeling which employs the concept of the energy equivalence, the effects of the local strain rate components are ignored in the kinetic energy derivations for the fundamental elements
Summary
There has been increasing demands for placing large metrology systems in the Medium Earth Orbit (MEO) due to their improved coverage. Inflatable satellites that can be compressed into small packages upon their launch are viable solutions for placing large antennas in orbits. These structures usually comprise of lattice elements due to their large stiffness to mass ratios. Continuum modeling techniques are effective methods for modeling large structures of repeated patterns. They can effectively be used with developed control techniques for distributed parameter systems. In all the previous work on continuum modeling which employs the concept of the energy equivalence, the effects of the local strain rate components are ignored in the kinetic energy derivations for the fundamental elements. The numerical results for natural frequencies are compared to a previous model which ignores these effects and leads to overestimating the frequencies
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