Numerical Method for the Kinematic Analysis of the Spatial Multi-Link Mechanisms

Abstract

The work deals with a numerical method for the kinematic analysis of the spatial multi-link mechanical systems (linkages). According to the proposed method, three specific points determine the spatial position and orientation of the central element of the mechanism (i.e. the rod). The kinematic equations system contains the geometric constraint equations and the rigid body conditions of the rod (i.e. constant distances between the three specific points). The corresponding non-linear system is solved by using the Newton-Kantorovich approach. The case study is developed by considering a complex wheel guiding mechanism used for vehicle suspension system. Index Terms-Multi-link mechanism, kinematic analysis, analytical algorithm, guiding linkage.

Method for the Kinematic Analysis of the Vehicle Axle Guiding Mechanisms

“…(18). Once the global coordinates of the three specific points (Gs, Gd, G) have been determined, the parameters / functions that describe the kinematic behavior of the axle guiding mechanism can be computed by using the equations (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16). At the same time, the correlation between the length of the shock absorber and the vertical displacement/position of the wheel center (ZGs), which is more realistic when simulating the wheel passing over road bumps/irregularities, can be established.…”