Robust synthesis of path generating linkages

Shi, Zhen; Xian-qi, Yang; Yang, Weikang; Qiang, Cheng

doi:10.1016/j.mechmachtheory.2004.05.008

Cited by 28 publications

(21 citation statements)

References 4 publications

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“…The point kinematic reliability is commonly used in the literature of mechanism reliability analysis and synthesis. It is usually calculated by the First Order Second Moment (FOSM) method and Monte Carlo Simulation (MCS) (Du, et al 2009, Bhatti, 1989, Chakraborty, 1975, Sergeyev , 1974, Choubey and Rao, 1982, Baumgarten and Werf, 1985, Mallik and Dhande, 1987, Shi, 1997, Choi, et al, 1998, Shi, 2005, Liu and Wang, 1994, Rao and Bhatti, 2001, Bhatti and Rao, 1988, Kim, et al, 2010. Recently, the time-dependent (interval) kinematic reliability is also proposed (Zhang and Du, 2010).…”

Section: Junfu Zhang*mentioning

confidence: 99%

Reliability analysis of spherical function generating mechanisms

Zhang

2014

JAMDSM

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Spherical mechanisms are widely used in engineering applications. Minimizing their motion error is critical for high performance of such mechanisms. The motion error is significantly affected by uncertainties in spherical mechanisms. The impact of the uncertainties on the motion error, however, is rarely considered in mechanism analysis and synthesis. In this work, we quantify the effects of randomness in the major mechanism dimension variables on the motion error through kinematic reliability with a probabilistic approach. Two types of reliability, the point kinematic reliability and the interval kinematic reliability, are discussed. For the former the First Order Second Moment (FOSM) method is employed while for the latter a multiple-extreme-value method is proposed to maintain high accuracy. The Monte Carlo simulation (MCS) is performed as a benchmark for the accuracy comparison. The effectiveness of the proposed method is demonstrated with two examples.

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Section: Junfu Zhang*mentioning

confidence: 99%

Reliability analysis of spherical function generating mechanisms

Zhang

2014

JAMDSM

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“…An analytical model to calculate the deflections { } U at any element node on this mechanism is formulated using Eqn. (4) where the 15x15 global stiffness matrix…”

Section: Conventional Planar Four-bar Path Generationmentioning

confidence: 99%

“…2 variables E j , A j , I j and L j (where j=1, 2,3,4) are the modulus of elasticity, cross-sectional area, moment of inertia and length of each link respectively. Because the coupler is to be a uniform rigid-body in this study, E 2 =E 3 , A 2 =A 3 , I 2 =I 3 and its modulus of elasticity is one million times higher than those of the crank and follower.…”

Section: Conventional Planar Four-bar Path Generationmentioning

confidence: 99%

“…Because the coupler is to be a uniform rigid-body in this study, E 2 =E 3 , A 2 =A 3 , I 2 =I 3 and its modulus of elasticity is one million times higher than those of the crank and follower. The angular orientation of each link (using the positive x-axis as reference) is denoted by angle θ j (where j=1, 2,3,4). These angles are used in the transformation matrix …”

Section: Conventional Planar Four-bar Path Generationmentioning

confidence: 99%

“…Hongying et al (3) introduced a new computer method using coupler-angle function curve to approximately synthesize a four-bar path mechanism. Shi et al (4) presented a robust synthesis procedure of the path generating mechanism and constructed a probabilistic model for the deviation of the actual path generated by a coupler point from the desired one is presented. Sancibrian et al (5) and Marin (6) proposed optimization approach for path synthesis problems…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Planar Four-Bar Path Generation with Static Structural Conditions

Al-Smadi

Russell

Sodhi

2008

JAMDSM

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Concurrent optimization of dimensions and tolerances on structures and mechanisms

Armillotta

2020

Int J Adv Manuf Technol

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The paper deals with a problem of robust optimization of mechanical assemblies, which combines the allocation of tolerances with the selection of dimensional parameters. The two tasks are carried out together with the aim of minimizing the manufacturing cost and the variation on an assembly-level functional characteristic. The problem is addressed in the specific context of planar linkages used in structures and mechanisms. The proposed solution is based on an optimality condition involving both tolerances and dimensions, which allows to define a joint optimization problem avoiding the need of two sequential optimization phases. The condition is developed with the method of Lagrange multipliers using an expanded formulation of the reciprocal power cost-tolerance function. The optimal tolerances depend on the stackup coefficients of the output characteristic, which are calculated with a tolerance analysis method based on a static analogy. The procedure is demonstrated on two examples to illustrate some application details and discuss potential advantages and limitations.

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Robust synthesis of path generating linkages

Cited by 28 publications

References 4 publications

Reliability analysis of spherical function generating mechanisms

Reliability analysis of spherical function generating mechanisms

Planar Four-Bar Path Generation with Static Structural Conditions

Concurrent optimization of dimensions and tolerances on structures and mechanisms

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