Abstract
The equations and analytical methods for the elastic buckling of periodic modes of periodic shape lattice structures have been presented by Hutchinson et al. and Anderson. But, their objects are simple grids of one node units. So in this paper the method for the bifurcation from uniform prebuckling state for the general lattice structures constructed of congruent units of arbitrary degrees of freedom of motion, such as double layer lattice plates, are developed, considering the property of periodic pattrns on the lattice. The buckling equation is separated by using the property of periodic modes into orthogonal patterns of different wave length in the form of finite Fourier series. But, the sine and cosine type modes of the same wave length are coupled. So, generally the buckling load is determined from the eigenvalue of a 2b×2b matrix, where b is the degrees of freedom of motion of the constituent structural unit. But, for the cases of uniform modes or periodic modes upon two structural units the matrix becomes b×b.
