Homogenization model ing of composite lattice structure for mode analysis

It is very difficult to build an exact model of composite lat tice st ructures in finite element analysis because of the complexity of the st ructure of the composite lat tice , so the homogenization of the lat tice st ructure is needed to obtain an equivalent elastic constant . The basic equation of elasticity of the lat tice st ructure was deduced
according to the principle of minimum potential energy and FEM , the elastic mat rix was given based on the
equivalent of virtual st rain energy , and the equivalent of density was got based on the equivalent of the kinetic
energy. The microscopic analysis of the cell element loaded with shear and extension was conducted , so the
equivalent elastic parameters were obtained by submit ting the equivalent parameter into the deduced equation , and then the macroscopic simulation result of the equivalent model was compared with the result of the exact model . It is verified that the method has a good precision and is appropriate for such kind of analysis in the engineering field.