Displacement and Force Analysis of Five-Rod Suspension With Flexible Joints

Abstract

The paper presents a vector algebraic method for the displacement and force analysis of the five-rod wheel suspension mechanism, used as a rear suspension in some modern cars. Displacement equations are derived by using the solutions of the vector tetrahedron equations obtained as the closure or constraint equations for spatial multi-loop mechanisms. The method gives the possibility of reducing the system of constraint equations from the original five to two. The resultant equations are expressed in recursive notation, which isrelatively concise in form and convenient for programming, providing a very efficient and accurate algorithm. The system of force and torque equilibrium equations is solved in an explicit way. Flexible joints with experimentally determined linearized compliance matrices are taken into consideration, leading to an algorithm for elastokinematic analysis of the mechanism. Graphical illustration of the results is also presented.

The Effect of Arm Stiffness on the Elasto-Kinematic Properties of Single-Axle Suspension by Using the MBS Simulation Model

“…For the analysis and synthesis of such mechanisms in terms of kinematic properties it is possible to use the vector or matrix method [4,5]. Models with flexible kinematic pairs of basic types of suspension and elasto-kinematic analysis are demonstrated in scientific work [6,7,8].…”

Elasto-Kinematic Computational Model of Suspension With Flexible Supporting Elements

“…The most commonly used method is disconnected loop method or the method of removing the body, which leads to simpler mathematical solution thanks to the lover number of equations. Kinematic analysis and analysis of mechanism in case of McPherson suspension, wishbone and five-link suspension is shown in [5][6][7]. Influence of positioning of kinematic points on the camber and toe angle of independent multi-link suspension is shown in [8].…”

A calculation method of joint forces for a suspension considering nonlinear elasticity of bushings

“…[8][9][10][11][12] To determine the joint forces and moments of a suspension in design phase is an important task, and the modeling and calculating methods proposed in many researches are based on the third method. Micheal et al 8 make an assumption that the connections between the control arm and body is rigid link using ball joints and inline joint primitive constraint, and linear equilibrium static equations are established to calculate the joint forces and moments.…”