According to the basic idea of classical yinyang complementarity and modern dualcomplementarity,in a simple and unified new way proposed by Luo,the unconventional Hamiltontype variational principles for elastodynamics of space frame structures were established systematically. The unconventional Hamiltontype variational principle can fully characterize the initialboundaryvalue problem of space frame structures’ elastodynamics. In this paper,an important integral relation was given,which can be considered as the expression of the generalized principle of virtual work for elastodynamics of space frame structures. Based on this relation,it is possible not only to obtain the principle of virtual work for elastodynamics of space frame structures,but also to derive systematically the complementary functionals for fivefield,threefield and twofield unconventional Hamiltontype variational principles,and the functional for onefield and the unconventional Hamiltontype variational principle in phase space by the generalized Legendre transformations given in this paper. Furthermore,with this new approach,the intrinsic relationship among various principles can be explained clearly.