Force analysis as a support to computer-aided tolerancing of planar linkages

Armillotta, Antonio

doi:10.1016/j.mechmachtheory.2015.06.015

Cited by 10 publications

(12 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Given the layout of the linkage, the S i can be calculated with one of the tolerance analysis methods available in literature. The method that will be used here was previously proposed for rigid and exactly constrained assemblies [112] and later demonstrated on planar linkages [113].…”

Section: Calculation Of Sensitivitiesmentioning

confidence: 99%

See 1 more Smart Citation

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Armillotta

2020

Int J Adv Manuf Technol

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Calculation Of Sensitivitiesmentioning

confidence: 99%

“…2b). As discussed in [113], the static analogy derives from the application of the principle of virtual work to the equilibrium condition on an assembly or linkage. Although it has only been demonstrated on planar systems, the analogy could therefore be extended to three-dimensional problems.…”

Section: Calculation Of Sensitivitiesmentioning

confidence: 99%

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Armillotta

2020

Int J Adv Manuf Technol

Self Cite

View full text Add to dashboard Cite

show abstract

“…Joint clearance affects the tolerance allocation and assembly accuracy of products. For under-constrained and positive-constrained joints, Armillotta 14 proposed a force simulation method to analyze and calculate the variation propagation under different size joints by means of transformation matrix. Teissandier et al 15 decomposed polyhedrons into bounded sets (polytopes) and unbounded sets (lines) with the constraint sets, so that screw theory could be used to solve the corresponding assembly problems, such as the tolerance analysis and allocation of crank-slider mechanisms.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The clamping force will change the shape of the composite components in the assembly process. 14,20 The modified probability density function (PDF) is used to express the effect of the clamping force on the variation. Considering the material variation, 1 joining method 6 and compensation technology of the composite parts, a tolerancing method based on compliance-rigid-coupling model should be employed to take into account both the compliance of the metallic parts and the rigidity of the composite parts.…”

Section: Composite Assembly Tolerancingmentioning

confidence: 99%

Clamping force integrated computer aided tolerancing in composite assembly

Wang

Chen

et al. 2020

Journal of Composite Materials

View full text Add to dashboard Cite

Traditional computer aided tolerancing method could not accomplish the tolerancing and variation simulation well in composite assembly. The paper presents a clamping force integrated computer aided tolerancing method for composite assembly. The stochastic variations and the stackup of variations are affected by clamping forces. The clamping force modified probability distribution is used to represent the modification based on the verified FEA model of the composite assembly. The clamping forces are coordinated based on the main deformation mode extracted by the principal component analysis to satisfy the coaxial tolerance requirements of the composite assembly. The assembly of an aircraft composite elevator is considered to illustrate the computational aspects of the proposed methods. The computer aided tolerancing method involving clamping forces outlined in the paper is found to be effective for composite assembly.

show abstract

“…The free-body model for tolerance analysis of rigid bodies uses the free-body diagrams of force analysis (Armillotta, 2015). It uses the sensitivity coefficients to evaluate the tolerance range of the functional requirement in the assembly by the tolerances applied to the single components.…”

Section: New Free-body Model With Geometric Tolerancesmentioning

confidence: 99%

Free-body model for tolerance analysis of rigid parts with manufacturing signature and operating conditions

Polini¹,

Corrado²

2019

10.5267/j.esm

View full text Add to dashboard Cite

This work shows a free-body model for tolerance analysis, that uses the force free-body diagrams and the functional equations' sensitivities, by simulating the geometrical tolerances together with the dimensional ones. The geometrical tolerances were related to the deviations due to the manufacturing process (i.e. the manufacturing signature). Moreover, weight and friction forces were simulated too. A sensitivity analysis on the developed free body model aimed to evaluate the number of points to discretize the circular bodies and how to calculate the point clouds barycentre in order to reduce the simulation time. A case study was used to exemplify the application of the proposed free-body method with and without considering the manufacturing signature. The results show that the free body model is able to solve assembly problems and the manufacturing signature significantly influences the values of the functional requirement on the product and, therefore, it is impossible to neglect it.

show abstract

Force analysis as a support to computer-aided tolerancing of planar linkages

Cited by 10 publications

References 64 publications

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Concurrent optimization of dimensions and tolerances on structures and mechanisms

Clamping force integrated computer aided tolerancing in composite assembly

Free-body model for tolerance analysis of rigid parts with manufacturing signature and operating conditions

Contact Info

Product

Resources

About