## 1 Introduction  
In many industrial production areas, automotive lifts are widely used at present. Among them are the construction industry, large-scale trade (malls), agro-industry, logistics of terminals and transport warehouses (airports, railway transport, road and sea transport), military equipment, etc. The Automotive Scissor Arm Lift is used for stacking, lifting or lowering, transporting and/or moving material [1]. The lever scissor mechanism is efficient in lifting loads [2; 3; 4; 5]. Raising or lowering of the lever scissor mechanism is carried out by moving hydraulic drives or a linear actuator, which acts on the scissor mechanism and causes the vertical movement of the working platform. The design of the scissor mechanism causes the automotive lift with a scissor arm mechanism to have poor stability. When lifting the load, the distance between the attachment points of the scissor mechanism to the base and the movable platform decreases; therefore, the base of the scissor mechanism decreases (Figure 1) and, accordingly, it becomes possible to overturn the automotive lift [6; 7]. There were 78 accidents while using a scissor lift between 1992 and 2003, according to the Census of Fatal Occupational Injuries (CFOI) [8]. The finite element method was used to design a scissor mechanism in [9; 10]. The method of bond graphs was used to study the dynamics of a scissor mechanism in [11]. The modeling of a scissor mechanism that utilizes curvilinear and pneumatic drives to implement the curvilinear movement of a moving platform is discussed in [12; 13; 14; 15; 16; 17; 18; 19]. This article considers the scheme of a new lever mechanism [20; 21], where the joints of the connection of the mechanism to the movable platform and the base are fixed motionless, i.e., the distance between the connection joints does not change. The stability of this lifting mechanism scheme is improved compared to the scissor mechanism. Developing and researching a lifting lever mechanism with a fixed base is a pressing matter. The subject of this article is the study of the proposed lift. The novelty of the research lies in the new design of the lever mechanism of the lift, where the joints of the connection of the mechanism to the movable platform and the base are fixed and motionless, which increases stability compared to the scissor mechanism; the development of methods for kinematic and kinetostatic analysis of the mechanism; the study of the stability of an automotive lift with a load on a moving platform and determination the boundaries of the stability area; the experimental measurement of stresses in mechanism links and the comparison with the results of numerical calculations. This article has the following structure. Section 1 provides an overview of the research methods of the scissor mechanism used in the moving platforms and the disadvantages of such a mechanism. The design of a new lever mechanism that has improved stability compared to the scissor mechanism and the methods required are discussed. Section 2 concentrates on the design of a new lifting lever mechanism. The new lifting lever mechanism's design was examined, and it was found that it consists of two main modules. The analysis of the kinematics of the spatial mechanism was conducted based on a study of its flat scheme. Section 3 describes the equations for finding reactions in cylindrical pairs of link connections, which were determined on the basis of general dynamic equations in the form of the d'Alembert-Lagrange equations. Section 4 deals with the forces acting on the structure of an automotive lift. The condition for the stability of an automotive lift under the action of external forces, including  
Figure 1: Positions of the base of the scissor mechanism (**a**) in the folded state and (**b**) in the maximum raised state. the load's gravity, has been articulated. The boundaries for the lift stability area of an automotive lift have been determined.