Mesomechanics of high-D.O.F. beam-like trusses

Mesomechanics is the study of mechanical systems said to possess local structures so grainy as to prohibit continuum formulations, and global architectures so highly discrete as to invite enormous analytical costs. Megastructures, e.g. large space structures (LSSs), and micromachines are species of such systems: their repeating elements or crystals are discrete lattices, and their global architectures are of O >10⁶. Species of mesomechanics studies, conventional LSS continuum modeling methods have found limited applicability. This paper introduces an LSS continuum modeling method that uses the load correction method (LCM) to formulate generally applicable continuum models of LSSs, and the particular integral method (PIM) to formulate mathematical statements of these models that can be computed economically. The aim is a mesomechanical vibrations analysis tool that may likewise apply to micromachines, locally damaged systems and composites.