A decoupling algorithm with first-order asymptotic integration for reliability-based design optimization

Huang, Zhi; Yang, Tongguang; Li, Fangyi

doi:10.1177/1687814018793336

Cited by 3 publications

(2 citation statements)

References 44 publications

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“…Compared with the DLS and the SLS, the former is simpler and more stable, although DLS has a nested nature. In general, those strategies for assessing probability constraints lead to performing first-order or second-order approximate expansion at the MPP, that is, the first-order reliability method (FORM) 37,38 and the second-order reliability method (SORM), 39,40 to convert probability constraints into deterministic constraints. The FORM has been widely used in RBDO procedures due to its simplicity and efficiency.…”

Section: Introductionmentioning

confidence: 99%

A novel reliability index approach and applied it to cushioning packaging design

Huang

Shi

2022

Advances in Mechanical Engineering

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This paper is aimed at proposing a new approach to Reliability-based Design Optimization (RBDO) and applying it to cushioning packaging design with a highly nonlinear system. The problem is formulated as an RBDO problem, which is included a minimizing cost function and probabilistic constraints. Here, the thickness of the cushion material is dealt with uncertainty and uncontrolled parameters. The traditional reliability index approach (RIA) has evolved as a powerful tool to solve the RBDO problem; however, due to its convergence problem, the modified reliability index approach (MRIA) is proposed. Although the MRIA method solves the problems of the traditional RIA, it inherits the low efficiency of searching for the most probability point (MPP). Thus, we developed a novel RIA based on MRIA to improve the efficiency and robustness during the RBDO process. The innovation active set strategy is developed in reliability assessment, which is a strict inequality to determine whether the current constraint is active or inactive. An application example is presented, and the results are compared with MRIA to assess cost-effectiveness and efficiency. Results indicate the proposed method is feasible to solve the uncertainty problem of packaging materials in the processing process and is also an efficient RBDO method.

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Section: Introductionmentioning

confidence: 99%

A novel reliability index approach and applied it to cushioning packaging design

Huang

Shi

2022

Advances in Mechanical Engineering

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“…Li et al 22 proposed the decoupling algorithm based on radial basis function (RBF) neural network to reduce the dimension coupling error of a four-point supporting piezoelectric six-axis force sensor. Huang et al 23 designed a decoupling method to provide an alternative tool for the reliability-based design optimization problems. Li et al 24 applied the generalized inverse static decoupling algorithm based on the solution matrix of calibration matrix to reduce dimension coupling of three-axis force sensor with four supporting points, and the largest coefficient was less than 3%.…”

Section: Introductionmentioning

confidence: 99%

Research on dimension coupling of piezoelectric three-component force unit based on sensor assembly error

Zhang

Shao

Ren

et al. 2019

Advances in Mechanical Engineering

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In the process of manufacturing and operation of mechanical equipment, accurate measurement of vector force provides an important basis for real-time control of working conditions and process adjustment to ensure the performance. Piezoelectric three-component force unit can be used to measure three-axis force with the characteristics of high frequency and stiffness, great dynamic response, and resistance to harsh conditions. Piezoelectric dynamometer consisting of four three-component force units can measure six-axis force/torque, which is widely used in vector force measurement. However, because of the limitation of manufacturing capability and assembly process, dimension coupling caused by assembly error of three-component force unit restricts improvement of test accuracy for itself and piezoelectric dynamometer. To reduce dimension coupling caused by displacement and angle assembly error, this article establishes a theoretical model of assembly error of three-component force unit. To achieve that the dimension coupling of threecomponent force unit is less than 3%, stiffness of relevant components is obtained by simulation analysis and experiment, and assembly tolerance range of three-component force unit is proposed. Four three-component force units are assembled to meet assembly tolerance range, and the calibration experiment is performed. The results show that the maximum of dimension coupling is less than 2.5%, which verifies the rationality of assembly tolerance range and further proves the reliability of the theoretical model. The theoretical model of assembly error clarifies the assembly accuracy of three-component force unit to ensure its test accuracy, which can further improve test accuracy of dynamometer. This article will also provide theoretical reference basis for this kind of sensors.

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The influence of thermophysical parameters on the prediction accuracy of the spindle thermal error model

Song

et al. 2021

Int J Adv Manuf Technol

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A decoupling algorithm with first-order asymptotic integration for reliability-based design optimization

Cited by 3 publications

References 44 publications

A novel reliability index approach and applied it to cushioning packaging design

A novel reliability index approach and applied it to cushioning packaging design

Research on dimension coupling of piezoelectric three-component force unit based on sensor assembly error

The influence of thermophysical parameters on the prediction accuracy of the spindle thermal error model

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