The conceptual design represents the first concretization of the project task, and its main goal is to define the parameters of the driver's ergo-sphere, external dimensions, weight, and performance of the heavy motor vehicle, as well as its stylistic indicators, necessary for further work on the project.As is known, the parameters of the frame are not known in the initial phase of designing a heavy motor vehicle, so in this paper, an attempt was made to define the required torsional stiffness of the frame based on its transverse vibrations. For this purpose (with the introduced hypothesis), a simplified geometric, physical, and mathematical model of the frame was used, whose random transverse vibrations will be analyzed using some methods of mathematical statistics and the three-variable Fourier transformation.