The dynamic response study of the cubesat frame provides us valuable insight on the deformation of the structure and the natural frequency at which it will deform under a dynamic loading condition. The first 4 modes and natural frequency are depicted below giving an indication of weak structural links of the frame. This study provides us the lowest natural frequncy of the cubesat structure. This is performed as a prerequisite for random vibration and shock load analysis. Each Launch Vehicle (LV) has a different requirement for example the Falcon 9 will specify a minimum natural frequency for all payloads.
Mode 1-1139 Hz
Mode 2-2211 Hz
Mode 3-2576 Hz
Mode 4-2646 Hz
The cubesat structure is analysed to understand its behaviors inside a deployer, a quasi-static load case was modelled by applying acceleration at the center of mass of the structure. The worst possible case of acceleration was considered as listed by Orbtal Sygnus, a maximum acceleration was applied in cartesian X,Y,Z direction. Since the correct orientation of Cubesat inside a deployer attached to a launch vehicle cannot be determined , different combination of acceleration in cartesian coordinates we considered(total 8 combinations) and among them the worst stress obtained is 13.03 MPa, that occurs at the base of the leg.
As seen from the image the structure experiences max stress at the top and bottom legs that are assumed to be in contact with the inner walls that hold the cubesat inside the deployer. The material for this study was chosen to be Al-6061 which has a tensile yeild strength of 276 MPa and ultimate tensile strength of 310 MPa. The factor of safety being 21.18. An SF of 1 indicates the structure is at its peak loading condition and any further loading will lead to failure.
The margin of safety MOS is 6.06 and a positive safety of factor is considered a good for structure. The MOS is an important indicator if the structure will withstand the design load, with respect to material strength given a minimum factor of safety(3 is considered for current calc.).
The aerospace and cubesat structure are normally assessed with a safety factor of 2/3 which leads to actual stress in the structure to be around 92 MPa max, beyond which the structure is assume to deform and then fail.
M8*1.0 Bolted joint assembly is analysed and can be seen from the presentation that the max stress that the bolt will experience is 534.24 MPa on application of an external load which corresponds with the numerical simulation. The numerical finite element simulation of a sub model of M8*1.0 bolted joint assembly shows stress on the cross section with a maxed out value at 640 MPa- yield strength of the M8*1.0 Stainless steel bolts.