Tolerance Simulation of Thin-walled C-section Composite Beam Assembling with Small Displacement Torsor Model

There are unavoidable deviations, such as shrinkage and distortions, in the composite detail parts production due to the complexity of composites fabrication. Interests in the assembly analysis of composite beams have led to a need for more accurate analysis especially in the case of fabrication deviations. This work proposes a numerical finite element model of thin-walled C-section composite beam with R-angle deviation for assembling. The rule of Hashin failure combined with cohesive element is applied to study the mechanical performance of the fiber and matrix (implemented as user subroutine UMAT in ABAQUS) while positioning and clamping. Tension and compression tests are carried out based on available standards to determine the C-section beam behavior under load. The testing data validates the proposed numerical model. The numerical model captures the experimentally obtained results with minimal error, and predicts the failure modes successfully. The proposed model allows to determine accurately the first failure location and the associated load level. It will enhance the understanding of the composite components pre-loading analysis, and help systematically improving the composites assembling efficiency in civil aircraft industry.

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An Analysis Model to Predict Rotation Accuracy of High-Precision Spindles Considering Part Errors and Deformation

Volume 2: Advanced Manufacturing ◽

10.1115/imece2017-72661 ◽

2017 ◽

Cited By ~ 1

Author(s):

Yanhui Sun ◽

Jun Hong ◽

Junkang Guo ◽

Yanfei Zhang ◽

Shaoke Wan ◽

...

Keyword(s):

High Precision ◽

Design Stage ◽

Small Displacement ◽

Analysis Model ◽

Transformation Matrices ◽

Beam Elements ◽

Fea Model ◽

Small Displacement Torsor ◽

Variation Propagation ◽

Error Accumulation

High-precision spindles have significant influence on the machining precision and finishing quality largely due to their motion errors. However, the analysis of rotation accuracy is quite not easy in design stage because of the neglecting of geometric errors and deformations of parts in the traditional dimension chains. Hence, a theoretical analysis model is built in present study to do the prediction. The 3D error accumulation path is recognized by Datum Flow Chain (DFC) and the key tolerances are modeled by Small Displacement Torsor (SDT). Thereafter, the variation propagation is conducted by Homogeneous Transformation Matrices (HTM) and the geometric misalignment in the spindle is calculated. Then, an FEA model is built with Timoshenko beam elements and the deformation is calculated after the geometric misalignment is applied to the model. As spindle rotates, the trajectory of the spindle nose is obtained. Finally, the Monte Carlo (MC) method is used to get the distribution and the range of motion errors. To verify the feasibility and reliability of the analysis model, the radial and axial motion errors of a double supported high-precision spindle are analyzed.

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Tolerance Simulation of Thin-Walled C-Section Composite Beam in Wingbox Assembly Under Preloading

Volume 2B: Advanced Manufacturing ◽

10.1115/imece2015-50273 ◽

2015 ◽

Cited By ~ 1

Author(s):

Hua Wang ◽

Jun Liu

Keyword(s):

Probability Distribution ◽

Composite Beam ◽

Composite Structures ◽

Simulation Method ◽

Simulation Software ◽

Fea Model ◽

Final Assembly ◽

Thin Walled ◽

Thickness Variations ◽

Induced Changes

Tolerance simulation’s reliability depends on the concordance between the input probability distribution and the practical situation. Pre-loading induced changes in the probability distribution should be considered in the structure’s tolerance simulation, especially for composite structures. The paper presents a tolerance simulation method for the thin-walled C-section composite beam (TC2B) assembling under preloading, that is prescribed clamping force. Based on FEA model of TC2B, the preloading-modified probability distribution function of the R angle spring-in deviation is proposed. Thickness variations of the TC2B are obtained from the data of the downscaled composite wingbox. These parts’ variations are input to the tolerance simulation software, and the final assembly variations are obtained. The assembly of the downscaled wingbox illustrates the effect of preloading on the probability distribution of the R angle spring-in deviation. The results have shown that tolerance simulation with the modified probability distribution is more accurate than the initial normal distribution. The tolerance simulation work presented in the paper will enhance the understanding of the composite parts assembling with spring-in deviations, and help systematically improving the precision control efficiency in civil aircraft industry.

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Semantic Representation of Flatness Based on ALC(R) and Mathematical Definition

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.662.961 ◽

2013 ◽

Vol 662 ◽

pp. 961-965

Author(s):

Yun Feng Xie ◽

Yu Lu Du ◽

Yan Ru Zhong ◽

Yu Chu Qin

Keyword(s):

Semantic Representation ◽

Heterogeneous Systems ◽

Mathematical Representation ◽

Small Displacement ◽

3D Cad ◽

Logical Language ◽

Small Displacement Torsor ◽

Tolerance Specification ◽

Representation Language ◽

Important Significance

The information of form tolerances in existing 3D CAD systems is just a kind of symbol and text which is lack of engineering semantic at present. Therefore, a reasonable explanation and Semantic representation of form tolerances has very important significance. In order to reduce the uncertainty and support the semantic interoperability in tolerance specification design, an approach for mathematical representation of flatness based on the Small Displacement Torsor (SDT) is proposed. Based on this, a representation of flatness using description logical language ALC(R) with concrete domain is proposed. Then flatness information is formalized using OWL, an ontology representation language devised by W3C, to be shared and interoperated between heterogeneous systems by building OWL ontology. At last, there is a practical example to verify the feasibility of this approach.

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A small displacement torsor model for tolerance analysis in a workpiece-fixture assembly

Proceedings of the Institution of Mechanical Engineers Part B Journal of Engineering Manufacture ◽

10.1243/09544054jem1337 ◽

2009 ◽

Vol 223 (8) ◽

pp. 1005-1020 ◽

Cited By ~ 26

Author(s):

J N Asante

Keyword(s):

Effective Means ◽

Experimental System ◽

Tolerance Analysis ◽

Geometric Error ◽

Small Displacement ◽

Small Displacement Torsor ◽

Set Up ◽

Workpiece Setup ◽

Feature Constraints

Workpiece geometric error, locator geometric error, and clamping error are factors that influence workpiece setup in workpiece fixturing. These errors accumulate and propagate during fixturing. They may be the reason for a machined feature being out of tolerance after machining. This paper presents a methodology for modelling and analysing the combined effect of these errors on a machined feature. Deviation of a machined feature due to the combined errors is expressed in terms of the small displacement torsor parameters. Given a tolerance on the machined feature, constraints are specified for that feature to establish a relationship between the tolerance zone of the feature and the torsor parameters. These constraints provide boundaries within which the machined feature must lie. This is used for tolerance analysis of the machined feature. A case study example was used to illustrate the approach. An experimental system was also set up to verify the analytical model. The results show that this approach offers an effective means for fixturing tolerance analysis.

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Study on Dynamic Response Characteristics of Composite Thin-Walled Square Beam Subject to Three-Point Bending

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.201-202.715 ◽

2012 ◽

Vol 201-202 ◽

pp. 715-720

Author(s):

Gang Yi Zhou ◽

Xin Long Dong ◽

Jun Liu

Keyword(s):

Composite Beam ◽

Simulation Analysis ◽

Impact Load ◽

Single Beam ◽

Three Point Bending ◽

Response Characteristics ◽

Crushing Force ◽

Good Energy ◽

Thin Walled ◽

Good Agreement

In this paper, the experiment of thin-walled square beam subject to three-point bending by using the self-devised drop-hammer impact was carried out. The mechanical behavior of this thin-walled specimen under impact load was obtained. The process of deformation and the dynamic buckling behaviors of composite square beam were analyzed by mean of simulation technique of finite element using ANSYS/LS-DYNA. The simulation analysis of deformation and crushing force characteristics was in good agreement with the experimental results. Meanwhile, the comparative analysis of percussive force and energy absorbability from composite beam and single beam was performed. It is shown by the investigation that the peak percussive force of such composite beam falls down relative to single beam and it possesses good energy absorbability too. The computed result also shows reducing the thickness of the bottom board of such thin-walled square beam has less of an effect on the energy absorbability.

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Experimental analysis of active–passive vibration control on thin-walled composite beam

Composite Structures ◽

10.1016/j.compstruct.2019.110975 ◽

2019 ◽

Vol 223 ◽

pp. 110975 ◽

Cited By ~ 2

Author(s):

R. Rimašauskienė ◽

V. Jūrėnas ◽

M. Radzienski ◽

M. Rimašauskas ◽

W. Ostachowicz

Keyword(s):

Vibration Control ◽

Experimental Analysis ◽

Composite Beam ◽

Passive Vibration Control ◽

Thin Walled

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