Abstract
The dynamic equivalent continuum modeling of beamlike space lattice structure is studied based on the characteristic of lattice structure which is repetition of the basic truss bay. The modeling method is based on the energy equivalence. The strain energy and kinetic energy of the basic lattice bay are expressed in nodal displacement, structural parameters and material parameters. Based on energy equivalence, that is the equivalent continuum model has the same amount of strain and kinetic energies as that of the original lattice structure when both are deformed identically, the geometric and material properties relationship between the beamlike lattice structure and equivalent continuum model are established. Then the stiffness matrix and mass matrix of the equivalent continuum beam model are obtained. The equivalent continuum beam model developed and finite element model are used to analyze dynamics of the beamlike lattice structure. The analytical solutions computed by equivalent continuum model are compared with the finite element model solutions which verifies that the equivalent continuum beam model is effective and highly accurate to analyze dynamics of beamlike lattice structures.
