An algorithm is given for deriving the analytical dependence of the smallest natural frequency of oscillations of a plane statically determinate regular truss on the number of panels. The Dunkerley method and its simplified version were used. It is shown that the simplified version gives not only a simpler, but also a more accurate formula. It is assumed that the mass of the truss is concentrated in its nodes, and the number of degrees of freedom of the structure coincides with the number of nodes. For analytical transformations and solving recurrent equations, the Maple computer mathematics system was used. The truss stiffness is calculated using the Maxwell–Mohr formula.

The dependences of the first four frequencies of natural oscillations of a planar regular truss of the thrust type are obtained numerically. A model is used in which the mass of the truss is concentrated in its nodes. The Maxwell–Mohr formula is used to calculate the rigidity of the truss. For the first frequency, an analytical dependence on the number of panels is derived by the induction method using a simplified version of the Dunkerley method in the Maple computer mathematics system. Good agreement with the numerical result is shown. An analytical dependence of the static deflection of the truss on its dimensions and load is obtained.