The effect of Winkler-Pasternak Foundation coefficient on buckling of composite conical Lattice structure under compressive axial load

In this study the ultimate amount of buckling load applied to the composite conical lattice structure located on the Winkler-Pasternak foundation has been investigated and compared by two analytical and finite elements methods. First, the governing equations of the conical lattice structure were obtained and then, by placing the conical lattice structure on the Winkler-Pasternak foundation, the governing equations were derived analytically. The effect of foundation stiffness coefficient on the behavior of conical lattice structures has been investigated analytically by considering different values. As the number of ribs and their cross section increases, the strength of the structure increases and by assuming that the conical lattice structure resting on the Winkler-Pasternak foundation, the amount of buckling load will increase and with increasing stiffness coefficient for the spring in the foundation, the buckling load resistance decreases. By comparing the analytical results and the finite element method, it can be seen that the analytical method and the obtained formula have a suitable accuracy for investigating the buckling of the lattice structure on the Winkler-Pasternak foundation.