Reliability analysis of spherical function generating mechanisms

Zhang, Junfu

doi:10.1299/jamdsm.2014jamdsm0007

Cited by 6 publications

(4 citation statements)

References 23 publications

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“…The results of the analysis can be used to confirm whether the effect of dimensional and joint motion errors on the output motion in acceptable. For instance, Zhang 18 investigated the tolerances of link lengths on the spherical function generating problem by introducing two probabilistic models. Excluding the effort of Zhang, progress in this area has stagnated for decades without any significant result.…”

Section: Introductionmentioning

confidence: 99%

Kinematic and mechanical error analysis of serial spherical linkages using a modular approach

Hsu

Lai

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Although spherical mechanisms have been widely implemented in medical and industrial fields, there still lacks a simple and systematic approach for analyzing their kinematics and mechanical errors. Therefore, the purpose of this paper is to provide a modular approach for kinematic and mechanical error analysis of serial spherical mechanisms that can be decomposed into predefined modules. Firstly, the forward and inverse kinematics, described by rotation matrices, of the spherical serial manipulator are derived. Besides, the error propagations of the spherical serial manipulator are formulated based on the derived kinematic equations. The derived algorithms are programed into subroutines to analyze the kinematics and mechanical error of a serial spherical linkage by analyzing each of its substructures as the illustrative examples have shown. Until now, the presented module in this paper is applicable to a variety of serial spherical mechanisms, and the feasibility of this method adopting high-class modules will be explored in the future.

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Section: Introductionmentioning

confidence: 99%

Kinematic and mechanical error analysis of serial spherical linkages using a modular approach

Hsu

Lai

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Therefore, many innovative methods for reliability analysis and reliability-based optimization design have been developed, which take various random factors in the design process and operational process of technological systems into consideration. Zhang analyzed the influences of uncertainty in the mechanism dimension on the motion error, in which point kinematic reliability and interval kinematic reliability are considered, respectively (Zhang, 2014). Hari, Rami, Srividya and Verma proposed the concept of the multi-state mechanical components and performed the reliability analysis of a feed water system according to the failure criterion that was dependent on component states (Hari, et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

Dynamic reliability analysis of series mechanical systems considering strength degradation path dependence of components

Gao

Xie

Liu

2015

JAMDSM

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In this paper, dynamic reliability models of series mechanical systems in terms of stress parameters and strength parameters are established, in which strength degradation path dependence (SDPD) and failure dependence of components in the system are taken into consideration. Despite the computational convenience for reliability evaluation by using the independent strength distribution at each load application, large errors could be caused due to neglecting the existence of SDPD. In this paper, influences of SDPD on both dynamic system reliability and failure dependence are investigated. Moreover, the impacts of the dispersion of initial strength and the number of components in a system on the influences of SDPD on dynamic system reliability are analyzed. In addition, the clamp band joint system is used as illustrative examples to demonstrate the proposed models. The results show that SDPD have considerable influences, which vary in different operational stage of series mechanical systems, on dynamic system reliability and failure dependence. Besides, the dispersion of initial strength and the number of components have different impacts on the effects of SDPD on system reliability.

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“…The Cardan universal joint is a spherical four-bar linkage in which the arc lengths of the moving links are exact right angles and the connected shafts intersect at an angle. The existing literature about spherical four-bar linkage considers its analysis, synthesis, applications, and type determination [10][11][12][13][14][15][16][17]. Spherical four-bar mechanism is a special case of spatial four-bar mechanism.…”

Section: Introductionmentioning

confidence: 99%