To mathematically model a mechanical system in the form of a cube, particularly a hollow cube made of honeycomb sandwich panels intended for satellite structures, it is essential to define the physical processes involved. The modeling approach will differ based on whether the analysis is static or dynamic. For static pressure modeling, specific equations for static conditions are required, while dynamic analysis, such as harmonic, transient, modal, and random vibrational analysis, necessitates more complex equations that account for varying pressures and temperatures. Utilizing a Cartesian coordinate system is recommended for clarity in modeling. Additionally, seeking literature that provides examples of vibrational analysis for cuboid structures will be beneficial for constructing a comprehensive mathematical model.
