The analytical method for determining the magnitude of the contact pressure in a cylindrical interference joint with shallow depth grooves is described in the publication. This method takes into account the geometric features and the relative position of the external members. The calculated dependences are based on the Lame’s formulas are given in the publication. They can be used to assess the bearing capacity of the joint at any macrogeometry of the joint, independently of the number, shape, size of grooves and their location. The method is different by simplicity and visibility. It provides sufficient accuracy of results for engineering calculations.

Real mechanical systems are characterized by real parameters, which include primary manufacturing and assembly errors, force and temperature deformations, and abnormal operating modes, the full knowledge of which is unknown when designing systems. Incomplete knowledge about the object is compensated by using coefficients entered into calculation formulas. The coefficients form the basis of reference literature and are obtained on the basis of generalization of experience in creating objects that are similar in design and purpose. This statistical technique is used to increase the margin of safety, but it does not allow us to obtain optimal performance criteria for the design of mechanical drives in particular. It is proposed to use the principle of designing mechanical systems by giving them the property of adaptation to real parameters at the design stage. The means of adaptation is an additional motion of links to the main one, implemented in particular by functional compensators. An algorithm for the synthesis of a compensator is given on the example of the basic scheme of a friction planetary gearbox

The design approach is based on to mechanical systems is implemented by adaptive properties to the actual parameters and to the operating conditions in the synthesis of the mechanical drive on design stage allows to implement many technical solutions of mechanical transmission with qualitatively new properties. Using for the adaptation additional motion of the links to the main one, it is possible and important to get auto-CVT with the transfer function dependent on the level of the transmitted power flow. The design of the auto-CVT which is potentially capable to provide full use of the available power in the mechanical drive, stationary and energetically perfect mode of operation of the engine at variable type of external loading is considered. Mathematical model of mechanical auto-CVT obtained by using Gibbs function – the acceleration energy. The results of the research are on the basis of which it is possible to perform design calculations of the links and connections of the auto-CVT, including its automatic control chain.

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The publication presents some technical solutions of mechanical systems created on the basis of gears, the design of which includes additional elements with nonlinear properties. The characteristics of such elements with automatic control stiffness control allow to implement a universal design approach mechanical systems providing the property of adaptation to variable external loading of mechanical systems at the design stage, while improving the dynamic quality of the system.