The nonideal source effect is known to be manifested in actual machines and mechanisms. Let us consider the response of the dynamics of nonideal vibrating systems based on some lever mechanisms. More generalized dynamic and mathematical models of the nonideal flat lever orthogonal vibration table mechanism were created in the article [7]. In the paper [8], the responses of rotational motion dynamics and oscillatory damped motion of the mechanism were studied. As a result of the influence of the lever mechanism on the excitation source during stable modes of the motor shaft rotation, it was shown that its rotational speed fluctuates relative to its average value. The frequency of variation in rotational speed was equal to its mean value, and its amplitude was inversely proportional to this value. This means that the smaller the rotational speed of the motor, the larger the amplitude and smaller the frequency of variation in the rotational speed of the driving member. The actuated rotational speed depends on the length of the crank and the engine torque. The conditions imposed on the amplitude of oscillations, regularities of change in the amplitude of the damped oscillatory motion of the crank, as well as the dependence of the frequency of the oscillatory motion on its amplitude and the parameters of the energy source and mechanism are established. Stability conditions of rotational motion and oscillatory damped motion are found. The studies in [9] focused on the oscillatory motion of the mechanism at slow engine speeds. The characteristics of the change in the amplitude of the motor rotational speed depending on the length of the driving member and on the mass of the load on the operating member were determined. In the papers [7; 10], the influence of friction in kinematic pairs on the dynamics of the orthogonal vibration table mechanism with a low-speed engine at a constant stationary load in the operating member was studied. One of the simplest lever mechanisms is the crank-slider mechanism, which converts the rotational movement of the driving element into translational movement, and therefore it is the base for many devices. This mechanism has been extensively analyzed and applied in internal combustion and Stirling engines, compressors [11; 12; 13; 14; 15; 16], robotics and mechatronic devices [17; 18; 19; 20; 21], excavation, tunneling, and construction machinery [22; 23; 24], power equipment [25; 26; 27], forging and stamping machines [28; 29], and various other applications [30; 31; 32]. There is a significant amount of research carried out on the simple crank-driven mechanism, since it is the main element of the devices. Most of the studies relate to rigid member mechanisms with the crank (crankshaft) being rigidly supported and rotating at a constant rotational speed. Most of these studies are either analytical or numerical and examine various mechanical aspects of the dynamic response and stability of crank-driven mechanism of devices [33]. By connecting two crank-slider mechanisms, it is possible to obtain a corresponding device that also converts the rotational motion of the driving member into translational motion of the slider connected to the mixing piston. The idea of combining two crank-slider mechanisms is not new. Crank-slider mechanisms with dual sliders and combined systems are already used in instruments, devices, machines, and robots for various purposes [34; 35; 36; 37; 38]. In papers [33; 39], the problem is extended by incorporating a nonideal force and flexible support for the crank (crankshaft). These two factors in combination with the nonlinearity of the kinematics give rise to a model that closely resembles the actual mechanism. The slide-crank mechanism, due to its simplicity, is adopted as the basic mechanism for the cutting device. In the paper [40], a more realistic system is considered: the mechanism is mounted on an elastic support and the effect of nonideal force on the system and the cutting process is analyzed.