Reliability Based Design

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Teng Fang - One of the best experts on this subject based on the ideXlab platform.

  • Time-Variant Reliability-Based Design Optimization Using an Equivalent Most Probable Point
    IEEE Transactions on Reliability, 2019
    Co-Authors: Teng Fang, Chao Jiang, Zhiliang Huang
    Abstract:

    Although a series of decoupled or single loop methods have been developed for Reliability-Based Design optimization (RBDO) problems to improve the computational efficiency, it seems hard to extend these strategies to time-variant RBDO due to the complexity of the problems brought by the involvement of time. This paper proposes a new approach for time-variant Reliability-Based Design optimization, expecting to provide an efficient tool for Design of some complex structure under time-variant uncertainties. The main idea of the proposed method is the definition of the equivalent most probable point (EMPP). With the EMPP, the original time-variant RBDO problem can be transformed into an equivalent time-invariant RBDO problem formulated by performance measure approach (PMA). Hence, the existing PMA-Based time-invariant RBDO methods can be applied to solve the equivalent problem. Therefore, those RBDO methods can be easily extended to time-variant RBDO problems, and hence the computational cost can be effectively reduced. Finally, two numerical examples and an engineering application are used to demonstrate the effectiveness of the proposed method.

  • A Single-Loop Approach for Time-Variant Reliability-Based Design Optimization
    IEEE Transactions on Reliability, 2017
    Co-Authors: Zhiliang Huang, Chao Jiang, Xiao Ming Li, Teng Fang
    Abstract:

    In the process of long-term use, the uncertainty of an engineering structure often presents time-variant or dynamic characteristics due to the influence of stochastic loads and material performance degradations. In such a situation, the structural Design optimization will involve an important problem of time-variant Reliability-Based Design optimization (TRBDO). Performing TRBDO involves a nested optimization, which will lead to extremely low computational efficiency. In this paper, a single-loop approach (SLA) is proposed to convert the nested optimization in TRBDO into a sequence iterative process composed of the time-variant Reliability analysis (TRA), constraint discretization, and Design optimization. In each iteration step, the TRA method Based on stochastic process discretization is first used to calculate the time-variant Reliability of constraints; second, through introducing the concept of the target Reliability index of discretized time period and proposing the corresponding algorithm, each time-variant constraint is discretized into a series of time-invariant constraints to formulate a conventional Reliability-Based Design optimization problem. The approach exhibits a good comprehensive performance in terms of efficiency and convergence. The validity and practicality of the SLA are validated by two numerical examples and a Design problem for the chassis of a self-balancing vehicle.

Zhiliang Huang - One of the best experts on this subject based on the ideXlab platform.

  • Time-Variant Reliability-Based Design Optimization Using an Equivalent Most Probable Point
    IEEE Transactions on Reliability, 2019
    Co-Authors: Teng Fang, Chao Jiang, Zhiliang Huang
    Abstract:

    Although a series of decoupled or single loop methods have been developed for Reliability-Based Design optimization (RBDO) problems to improve the computational efficiency, it seems hard to extend these strategies to time-variant RBDO due to the complexity of the problems brought by the involvement of time. This paper proposes a new approach for time-variant Reliability-Based Design optimization, expecting to provide an efficient tool for Design of some complex structure under time-variant uncertainties. The main idea of the proposed method is the definition of the equivalent most probable point (EMPP). With the EMPP, the original time-variant RBDO problem can be transformed into an equivalent time-invariant RBDO problem formulated by performance measure approach (PMA). Hence, the existing PMA-Based time-invariant RBDO methods can be applied to solve the equivalent problem. Therefore, those RBDO methods can be easily extended to time-variant RBDO problems, and hence the computational cost can be effectively reduced. Finally, two numerical examples and an engineering application are used to demonstrate the effectiveness of the proposed method.

  • A decoupling algorithm with first-order asymptotic integration for Reliability-Based Design optimization:
    Advances in Mechanical Engineering, 2018
    Co-Authors: Zhiliang Huang, Tongguang Yang, Fangyi Li
    Abstract:

    Conventional decoupling approaches usually employ first-order Reliability method to deal with probabilistic constraints in a Reliability-Based Design optimization problem. In first-order reliabilit...

  • A Single-Loop Approach for Time-Variant Reliability-Based Design Optimization
    IEEE Transactions on Reliability, 2017
    Co-Authors: Zhiliang Huang, Chao Jiang, Xiao Ming Li, Teng Fang
    Abstract:

    In the process of long-term use, the uncertainty of an engineering structure often presents time-variant or dynamic characteristics due to the influence of stochastic loads and material performance degradations. In such a situation, the structural Design optimization will involve an important problem of time-variant Reliability-Based Design optimization (TRBDO). Performing TRBDO involves a nested optimization, which will lead to extremely low computational efficiency. In this paper, a single-loop approach (SLA) is proposed to convert the nested optimization in TRBDO into a sequence iterative process composed of the time-variant Reliability analysis (TRA), constraint discretization, and Design optimization. In each iteration step, the TRA method Based on stochastic process discretization is first used to calculate the time-variant Reliability of constraints; second, through introducing the concept of the target Reliability index of discretized time period and proposing the corresponding algorithm, each time-variant constraint is discretized into a series of time-invariant constraints to formulate a conventional Reliability-Based Design optimization problem. The approach exhibits a good comprehensive performance in terms of efficiency and convergence. The validity and practicality of the SLA are validated by two numerical examples and a Design problem for the chassis of a self-balancing vehicle.

Chao Jiang - One of the best experts on this subject based on the ideXlab platform.

  • Time-Variant Reliability-Based Design Optimization Using an Equivalent Most Probable Point
    IEEE Transactions on Reliability, 2019
    Co-Authors: Teng Fang, Chao Jiang, Zhiliang Huang
    Abstract:

    Although a series of decoupled or single loop methods have been developed for Reliability-Based Design optimization (RBDO) problems to improve the computational efficiency, it seems hard to extend these strategies to time-variant RBDO due to the complexity of the problems brought by the involvement of time. This paper proposes a new approach for time-variant Reliability-Based Design optimization, expecting to provide an efficient tool for Design of some complex structure under time-variant uncertainties. The main idea of the proposed method is the definition of the equivalent most probable point (EMPP). With the EMPP, the original time-variant RBDO problem can be transformed into an equivalent time-invariant RBDO problem formulated by performance measure approach (PMA). Hence, the existing PMA-Based time-invariant RBDO methods can be applied to solve the equivalent problem. Therefore, those RBDO methods can be easily extended to time-variant RBDO problems, and hence the computational cost can be effectively reduced. Finally, two numerical examples and an engineering application are used to demonstrate the effectiveness of the proposed method.

  • A Single-Loop Approach for Time-Variant Reliability-Based Design Optimization
    IEEE Transactions on Reliability, 2017
    Co-Authors: Zhiliang Huang, Chao Jiang, Xiao Ming Li, Teng Fang
    Abstract:

    In the process of long-term use, the uncertainty of an engineering structure often presents time-variant or dynamic characteristics due to the influence of stochastic loads and material performance degradations. In such a situation, the structural Design optimization will involve an important problem of time-variant Reliability-Based Design optimization (TRBDO). Performing TRBDO involves a nested optimization, which will lead to extremely low computational efficiency. In this paper, a single-loop approach (SLA) is proposed to convert the nested optimization in TRBDO into a sequence iterative process composed of the time-variant Reliability analysis (TRA), constraint discretization, and Design optimization. In each iteration step, the TRA method Based on stochastic process discretization is first used to calculate the time-variant Reliability of constraints; second, through introducing the concept of the target Reliability index of discretized time period and proposing the corresponding algorithm, each time-variant constraint is discretized into a series of time-invariant constraints to formulate a conventional Reliability-Based Design optimization problem. The approach exhibits a good comprehensive performance in terms of efficiency and convergence. The validity and practicality of the SLA are validated by two numerical examples and a Design problem for the chassis of a self-balancing vehicle.

John Dalsgaard Sørensen - One of the best experts on this subject based on the ideXlab platform.

  • Reliability-Based Design of Wind Turbine Blades
    Structural Safety, 2011
    Co-Authors: Henrik Stensgaard Toft, John Dalsgaard Sørensen
    Abstract:

    Abstract Reliability-Based Design of wind turbine blades requires identification of the important failure modes/limit states along with stochastic models for the uncertainties and methods for estimating the Reliability. In the present paper it is described how Reliability-Based Design can be applied to wind turbine blades. For wind turbine blades, tests with the basic composite materials and a few full-scale blades are normally performed during the Design process. By adopting a Reliability-Based Design approach, information from these tests can be taken into account in a rational way during the Design process. In the present paper, a probabilistic framework for Design of wind turbine blades are presented and it is demonstrated how information from tests can be taken into account using the Maximum-Likelihood method and Bayesian statistics. In a numerical example, the Reliability is estimated for a wind turbine blade in both ultimate and fatigue limit states. Information from tests is used to formulate the stochastic models used in the limit state equations. Partial safety factors for use in traditional deterministic Design are estimated using the stochastic models.

  • Reliability-Based Design of wind turbine blades
    Structural Safety, 2011
    Co-Authors: Henrik Stensgaard Toft, John Dalsgaard Sørensen
    Abstract:

    Reliability-Based Design of wind turbine blades requires identification of the important failure modes/limit states along with stochastic models for the uncertainties and methods for estimating the Reliability. In the present paper it is described how Reliability-Based Design can be applied to wind turbine blades. For wind turbine blades, tests with the basic composite materials and a few full-scale blades are normally performed during the Design process. By adopting a Reliability-Based Design approach, information from these tests can be taken into account in a rational way during the Design process. In the present paper, a probabilistic framework for Design of wind turbine blades are presented and it is demonstrated how information from tests can be taken into account using the Maximum-Likelihood method and Bayesian statistics. In a numerical example, the Reliability is estimated for a wind turbine blade in both ultimate and fatigue limit states. Information from tests is used to formulate the stochastic models used in the limit state equations. Partial safety factors for use in traditional deterministic Design are estimated using the stochastic models. © 2011 Elsevier Ltd.

Henrik Stensgaard Toft - One of the best experts on this subject based on the ideXlab platform.

  • Reliability-Based Design of Wind Turbine Blades
    Structural Safety, 2011
    Co-Authors: Henrik Stensgaard Toft, John Dalsgaard Sørensen
    Abstract:

    Abstract Reliability-Based Design of wind turbine blades requires identification of the important failure modes/limit states along with stochastic models for the uncertainties and methods for estimating the Reliability. In the present paper it is described how Reliability-Based Design can be applied to wind turbine blades. For wind turbine blades, tests with the basic composite materials and a few full-scale blades are normally performed during the Design process. By adopting a Reliability-Based Design approach, information from these tests can be taken into account in a rational way during the Design process. In the present paper, a probabilistic framework for Design of wind turbine blades are presented and it is demonstrated how information from tests can be taken into account using the Maximum-Likelihood method and Bayesian statistics. In a numerical example, the Reliability is estimated for a wind turbine blade in both ultimate and fatigue limit states. Information from tests is used to formulate the stochastic models used in the limit state equations. Partial safety factors for use in traditional deterministic Design are estimated using the stochastic models.

  • Reliability-Based Design of wind turbine blades
    Structural Safety, 2011
    Co-Authors: Henrik Stensgaard Toft, John Dalsgaard Sørensen
    Abstract:

    Reliability-Based Design of wind turbine blades requires identification of the important failure modes/limit states along with stochastic models for the uncertainties and methods for estimating the Reliability. In the present paper it is described how Reliability-Based Design can be applied to wind turbine blades. For wind turbine blades, tests with the basic composite materials and a few full-scale blades are normally performed during the Design process. By adopting a Reliability-Based Design approach, information from these tests can be taken into account in a rational way during the Design process. In the present paper, a probabilistic framework for Design of wind turbine blades are presented and it is demonstrated how information from tests can be taken into account using the Maximum-Likelihood method and Bayesian statistics. In a numerical example, the Reliability is estimated for a wind turbine blade in both ultimate and fatigue limit states. Information from tests is used to formulate the stochastic models used in the limit state equations. Partial safety factors for use in traditional deterministic Design are estimated using the stochastic models. © 2011 Elsevier Ltd.