Modeling the angular capability of the ball joints in a complex mechanism with two degrees of mobility

Alexandru, Petre; Vişa, Ion; Alexandru, Cătălin

doi:10.1016/j.apm.2014.04.032

Cited by 15 publications

(22 citation statements)

References 18 publications

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“…To explain the specifics of the method, the spatial multi-link mechanism shown in figure 2 is considered. The mechanism assures the guiding (in terms of spatial movement) of the central element / rod (2) by using three specific points, in this case the centers of the spherical joints B, C and D to the adjacent elements (1,3,4), which are guided on two circles (with the revolute axes A-A" and E-E") and one sphere (with the center in F). The constraints of the points through which the rod is guided in the spatial movement consist of the requirements that they be permanently on the support curves and /or surfaces, with centers on the mechanism base.…”

Section: Defining the Proposed Methodsmentioning

confidence: 99%

“…For the positional analysis of the multi-link mechanisms, vector-based methods (algebraic, matriceal) are frequently used for planar mechanisms [1]- [3]. In the case of spatial mechanisms, because of their complexity, the vector-based methods are difficult to apply, especially for the multi-loop (poly-contour) mechanisms, due to the large number of transformations would be required to express all the vectors attached to the elements in the base reference system.…”

Section: Introductionmentioning

confidence: 99%

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

Alexandru¹,

Design²

2018

IJMO

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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.

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Section: Defining the Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Alexandru¹,

Design²

2018

IJMO

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“…The global coordinates of the characteristic points (except those coordinates that are independent parameters: Z Gs , or Z Gs and Z Gd ) are the unknowns, which appear explicitly in equations (3), while in equation (4) they appear as implicit through the global coordinates of the guiding points (X Mi , Y Mi , Z Mi ). Within the general nonlinear system given in equations (3) and (4), the three-equation system given in equations (2), which describes the correlations among the global coordinates of the guiding points and those of the characteristic points, was solved in closed form as the solution of the quadratic equation by subtracting the first equation from the other two, similar to the procedure described in Alexandru et al 15…”

Section: The Kinematics Of the Guiding Mechanismmentioning

confidence: 99%

“…Computing the deformations of the elastic elements (springs l s : equation (8), bumpers f b : equation (19) or (20), anti-roll bar f r : equation (28) and bushings ϕ x,y,z 15 ) and the corresponding reaction forces (springs F a : equations (7) and (10) or equation (14), bumpers F b : equation (18), anti-roll bar F w : equation (21) and M e : equation (29)).…”

Section: Determining the Static Equilibrium Positionmentioning

confidence: 99%

Method for the quasi-static analysis of beam axle suspension systems used for road vehicles

Alexandru

2018

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper addresses an analytical method for determining the static equilibrium position of beam axle suspension systems used of motor vehicles. This method is applicable to most types of suspension systems and is based on the definition of the spatial positioning of the guiding mechanism as a result of the forces and torques acting in the suspension system. The static model is defined in analytical form, in terms of virtual work, considering the system of applied forces and reactions in the elastic suspension elements (springs, bumpers, anti-roll bar and bushings), whose deformations are determined by the spatial positioning of the guiding mechanism. The proposed method is based on an iterative algorithm by which, for a given set of contact forces on wheels, the equilibrium position is identified by scanning the entire vertical motion domain of the wheels and selecting the configuration that ensures minimal static function. The results obtained by the algorithmization of the method and computer programming allow an accurate assessment of the static behaviour of a beam axle suspension system (in terms of equilibrium configuration and reaction forces) in various regimes, without the need for costly experimental testing.

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“…Considering the numerical values of the geometrical parameters for a domestic vehicle (ARO-type), most of them presented in Alexandru et al., 28 there have been obtained the results shown in Table 1, where S r is the front rack displacement (stroke), ϕ w is the revolute angle of the steering wheel, θ e is the steering angle of the front wheel outside (external) the turn (the left wheel in the case shown in Figure 2, considering turning to right), θ i is the steering angle of the front wheel inside the turn, θ f is the medium steering angle of the front wheels, ϕ t is the revolute angle of the longitudinal transmission shaft, and ϕ c is the revolute angle of the cam. The results correspond to the vehicle steering to right (the situation shown in Figure 2), in a similar way obtaining the results for the steering to left.…”

Section: The Integral Steering Mechanismmentioning

confidence: 99%

A mechanical integral steering system for increasing the stability and handling of motor vehicles

Alexandru

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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The article deals with the design, modeling, and simulation of an innovative four-wheel steering system for motor vehicles. The study is focused on the steering box of the rear wheels, which is a cam-based mechanism, while the front steering system uses a classical pinion-rack gearbox. In the proposed concept, the four-wheel steering aims to improve the vehicle stability and handling performances by considering the integral steering law, which is formulated in terms of correlation between the steering angles of the front and rear wheels. In this regard, a double-profiled cam is designed, in correlation with the input motion law applied to the steering wheel. The cam profile dictates (prescribes) the translational movement of the rear follower, which is connected to the left and right steering tierods, turning-as appropriate-the rear wheels in the same direction (for stability) or in opposite (for handling) to the front wheels. The cam-based mechanism is able to carry out complex motion laws, providing accurate integral steering law. The dynamic modeling and simulation of the four-wheel steering vehicle was performed by using the Multi-Body Systems package Automatic Dynamic Analysis of Mechanical Systems of MSC.Software, the full-vehicle model containing also the front and rear wheels suspension systems, as well the vehicle chassis (car body). The dynamic simulations in virtual environment have resulted in important results that demonstrate the handling and stability performances of the proposed four-wheel steering system by reference to a classical two-wheel steering vehicle.

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Modeling the angular capability of the ball joints in a complex mechanism with two degrees of mobility

Cited by 15 publications

References 18 publications

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

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

Method for the quasi-static analysis of beam axle suspension systems used for road vehicles

A mechanical integral steering system for increasing the stability and handling of motor vehicles

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