Shakedown analysis for structural design applied to a manned airtight module

Li, Weijie; Zeng, Fuming; Chen, Geng; Deng, Yuanbin; Liu, Guoqing; Zhang, Xiaoyu; Bezold, Alexander; Broeckmann, Christoph

doi:10.1016/j.ijpvp.2018.02.006

Cited by 9 publications

(12 citation statements)

References 8 publications

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“…The algorithm for the tool consists of nested loops: The inner loop adopts the IPM to solve shakedown problems pertained to fixed design parameters, while the outer loop seeks for optimal design parameters that lead to the greatest shakedown limit. Both in above mentioned works and in our own studies [21,30,31] it is noticed that the sensitivity of the shakedown limit to a certain design parameter is neither monotonic nor linear, especially when structures own complex geometries. For this reason, if the outer loop employs a gradient-based optimizer, it is highly likely that the solver would converge very slowly or only to a local minimum.…”

Section: Introductionmentioning

confidence: 76%

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A Shakedown Strength based Parametric Optimization Technique and its Application on an Airtight Module

Huang

Zhang

et al. 2021

Preprint

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In aerospace engineering, design and optimization of mechanical structures are usually performed with respect to elastic limit. Besides causing insufficient use of the material, such design concept fails to meet the ever growing needs of the light weight design. To remedy this problem, in the present study, a shakedown theory based numerical approach for performing parametric optimization is presented. Within this approach, strength of the structure is measured by its shakedown limit calculated from the direct method. The numerical method developed for the structural optimization consists of nested loops: The inner loop adopts the interior point method to solve shakedown problems pertained to fixed design parameters, while the outer loop employs the genetic algorithm to find optimal design parameters leading to the greatest shakedown limit. The method established is first verified by the classic plate-with-a-circular-hole example, and after that it is applied to an airtight module for determining few key design parameters. By carefully analyzing results generated during the optimization process, it is convinced that the approach can become a viable means for designing similar aerospace structures.

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Section: Introductionmentioning

confidence: 76%

“…Due to these merits, IPM is employed in many commercial optimization software such as CPLEX, LO-QO, Mosek, IPOPT, and Gurobi, and some of these software have been successfully adopted to solve DM problems [9,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

A Shakedown Strength based Parametric Optimization Technique and its Application on an Airtight Module

Huang

Zhang

et al. 2021

Preprint

Self Cite

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“…As a result, the structure geometries can be quite complex and lead to a complicated stress distribution where the local stress of some area can exceed the tolerance value. Our previous research [17] investigated the parametric sensitivity in terms of the shakedown and plastic limit principle, which demonstrates that optimization is necessary to obtain an optimal result for both load capacity and lightweight design. The present section was designed to determine the optimal combination of the designed parameters and optimal strength-to-weight ratio of the manned airtight module under internal pressure 0.15 M P a.…”

Section: Optimization Design Of a Manned Airtight Modulementioning

confidence: 99%

“…Some of these packages have been successfully adopted to solve DM problems. Despite this, little progress has been made in the shakedown analysis of largescale engineering structure [13,14,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

“…Within aforementioned works, several studies have attempted to link shakedown limit with design parameters and establish a qualitative relationship between them. However, our previous research [17,26,27] showed that oftentimes the relationship between load domain and design parameters is severely nonlinear and not feasible, especially for a complex engineering problem. Moreover, the relationship may extreme unsmooth and difficult to define in terms of gradients in most cases.…”

Section: Introductionmentioning

confidence: 99%

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Shakedown strength based parameter optimization technique and its application on designing an airtight module

Huang

Zhang

et al. 2021

Preprint

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Structural optimal design is traditionally performed according to the elastic limit rule which makes the structure overweighted or strength over conservative to an extent. Shakedown theory is implemented in the present study in order to measure load-capacity performance of structure. It can determine the strength of a structure under arbitrary varying loads without loading history where failure form of incremental collapse, ratcheting and alternate plasticity will be avoided. The current research subsequently provides a parameter optimal design scheme with respect to maximum structure strength and strength-to-weight performance in the framework of shakedown which makes the optimal structure design in a relatively practical way. With this motivation, the formula of proposed shakedown limited parameter optimization problem is derived and solved based on genetic-gradient coupling algorithm. The present coupling algorithm is essentially solve a double-loop problem where the inner loop adopt interior point method to solve shakedown problem under a given parameter combination while the outer loop use genetic algorithm to find the optimal parameters based on a given shakedown fitness. In addition, external database technique is applied to accelerate computation and prevent unexpected interrupt. Subsequently, a test example which is a optimal parameter design problem of plate with a circular hole is presented to demonstrate the accuracy and effectiveness of the proposed method and algorithm. In addition, the proposed method is also utilized to determine the optimal load-bearing capacity of a airtight module to be used in a manned spacecraft. Moreover, optimal shakedown load design results of the manned airtight module as well as optimal strength-to-weight efficiency design results are given in the end. This study confirmed that genetic-gradient coupling algorithm is a effective means for determine the optimal parameter in accordance to the shakedown load domain.

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Topology Optimization of Elastoplastic Structure Based on Shakedown Strength

Huang,

Zhang,

Chen

et al. 2024

Numerical Meth Engineering

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The traditional approach to structural lightweight optimization design, which is based on the elastic limit rule, often results in a structure that exhibits either weight redundancy or strength redundancy to some extent. This study introduces a novel integration of shakedown analysis with structural topology optimization, departing from the conventional elastic limit rule. Shakedown analysis identifies a non‐failure external load region beyond the elastic limit but below the plastic limit, independent of loading history. The proposed method, for the first time, accounts for the influence of self‐equilibrium residual stress at the element level, redefining effective and ineffective elements in topology optimization. Shakedown total stress replaces elastic equivalent stress, offering a comprehensive measure. Utilizing Melan's lower bound theorem, a gradient‐based topology optimization framework for shakedown analysis is developed, ensuring structures stay within the elastic–plastic range, preventing excessive plastic deformation. The approach, employing the moving asymptotes method after adjoint sensitivity analysis of shakedown total stress, is applied to a three‐dimensional L‐shaped bracket. Even with a remarkable 50% reduction in weight, the maximum total shakedown stress of the bracket reveals that it only increases by a modest 17.20% from its initial value. Moreover, compared to traditional topology optimization methods based on either elastic stress or stiffness, the proposed method based on total shakedown stress leads to a higher shakedown limit. Specifically, the configuration designed using the total shakedown stress exhibited increases of 2.01% and 9.82% in the shakedown limit compared to those obtained using stiffness and equivalent elastic stress, respectively. This suggests that the proposed method can effectively balance the trade‐off between shakedown strength and structural stiffness, achieving a 2.01% rise in shakedown strength with only a 2.24% compromise in structural stiffness. These findings highlight the method's effectiveness and potential, emphasizing the benefit of redefining effective and ineffective elements using shakedown stress in topology optimization.

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Shakedown analysis for structural design applied to a manned airtight module

Cited by 9 publications

References 8 publications

A Shakedown Strength based Parametric Optimization Technique and its Application on an Airtight Module

A Shakedown Strength based Parametric Optimization Technique and its Application on an Airtight Module

Shakedown strength based parameter optimization technique and its application on designing an airtight module

Topology Optimization of Elastoplastic Structure Based on Shakedown Strength

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