Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling

Wang, Lei; Liu, Yaru; Li, Min

doi:10.1016/j.ress.2022.108361

Cited by 79 publications

(11 citation statements)

References 53 publications

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“…A novel dynamic reliability-based topology optimization (DRBTO) strategy was investigated by Lei et al [23] for time-variant mechanical systems with overall consideration of material dispersion and loading deviation effects. Lei et al [24] developed a novel convexity-oriented time-dependent reliability-based topology optimization (CTRBTO) scheme to overcome the current difficulties caused by uncertainties in the DRTO implementation, such as the time-varying reliability evaluation and the design sensitivity derivation. In this work, the multi-scale mixed harmonic balance method is used to solve Equation (3).…”

Section: Approximate Solution Based On the Multi-scale Mixed Harmonic...mentioning

confidence: 99%

The Parameter Design of Nonlinear Energy Sink Installed on the Jacket Pipe by Using the Nonlinear Dynamical Theory

et al. 2022

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The aim of this paper is to investigate the vibration suppression effect of a nonlinear energy sink (NES) on the wind-vortex-induced vibration of deep-water jacket pipes. Based on nonlinear dynamical theories, the coupled dynamic equation of a deep-water jacket pipe with NES was established, and the nonlinear response characteristics and motion stability of the system were studied by using the multi-scale mixed harmonic balance method and Routh–Hurwitz criterion. The paper also analyzed the influence of the nonlinear stiffness and damping parameters of an NES on the dynamic response of the pipe. It is concluded that when the nonlinear stiffness of an NES increases to a certain extent, the motion response of the pipe appeared as a saddle-node and Hopf bifurcation, and the vibration amplitude of the pipe is greatly suppressed. For a system with nonlinear motion, NES damping mainly affects the range of the unstable region. For the system without nonlinear motion, the increases in NES damping will reduce the amplitude near the resonance region. Selecting proper parameters of an NES nonlinear stiffness and damping can effectively suppress the vortex-induced vibration of pipes.

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Section: Approximate Solution Based On the Multi-scale Mixed Harmonic...mentioning

confidence: 99%

The Parameter Design of Nonlinear Energy Sink Installed on the Jacket Pipe by Using the Nonlinear Dynamical Theory

et al. 2022

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“…For this, it is necessary to generalize the power transmission form of the secondary energy conversion system by assessing the reliability of the system using appro-priate methods. Regarding the reliability assessment of the engineering structure, various techniques considering uncertainty have been actively studied [24][25][26][27], and studies related to reliability assessment of wave power generator systems have been conducted [28,29].…”

Section: Figurementioning

confidence: 99%

Conceptual Design Study Based on Reliability Assessment of Secondary Energy Conversion Mechanical System in Movable Object Type Wave Power Generator

Kim¹,

Park²,

Oh³

et al. 2022

Applied Sciences

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Movable object type wave power generators produce energy through the process of primary energy conversion, which converts the potential and kinetic energy of the waves into mechanical energy, secondary energy conversion that converts it into energy for generator operation using a mechanical system or hydraulic system, and final energy conversion, the last step in power generation. The secondary energy conversion system that transmits and amplifies energy according to the primary energy conversion needs to secure durability while power generation performance varies greatly depending on how the secondary energy conversion system is built. As a result, reliability assessment of systems based on system engineering are a very important issue. Therefore, in this study, for the conceptual design based on reliability assessment of the secondary energy conversion system, the system concept was established using the integrated computer-aided manufacturing (ICAM) definition for function modeling (IDEF0), a system analysis method, while necessary equipment and process flow diagrams (PFD) were derived. In addition, the database (DB) and formula of the secondary energy conversion system were constructed, and reliability assessment algorithms and programs were developed. Finally, the PFD and reliability assessment program were verified by applying them to a representative movable object type wave power generator.

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“…In practical engineering, however, there are various and different degrees of uncertainties due to environmental influences, incomplete knowledge and unavoidable measurement errors. [1][2][3] These uncertainties in material properties, and geometric shape lead to uncertainties in structural response. Therefore, for a realistic assessment of engineering structures, the impact of parameter uncertainties on structural response shall be totally accounted in numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

“…Conventional numerical analysis of structures is always based on deterministic variables. In practical engineering, however, there are various and different degrees of uncertainties due to environmental influences, incomplete knowledge and unavoidable measurement errors 1‐3 . These uncertainties in material properties, and geometric shape lead to uncertainties in structural response.…”

Section: Introductionmentioning

confidence: 99%

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

Zhao

Feng

et al. 2023

Numerical Meth Engineering

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To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher-order terms, we propose a novel univariate dimension-reduction based interval finite element method to predict the static response bounds of structures with uncertain but bounded parameters. First, a univariate dimension-reduction algorithm is derived using the generalized Taylor expansion. The global stiffness matrix is expressed as the sum of the median and the univariate disturbance radius. Compared with Taylor expansion approximation, the univariate dimension-reduction approximation has higher accuracy and does not increase the amount of calculation. Then the inverse of the interval global stiffness matrix is approximated as an improved Neumann series. Higher-order terms are included by summing up the geometric terms in the Neumann series. Finally, the improved interval algorithm is used to solve the upper and lower bounds of the structural displacement response and the element stress response. The dependence between the interval parameters is accounted in comparison with the classic interval algorithm. The accuracy and effectiveness of the new method are validated by numerical cases on 2D truss, 3D frame and truck frame with multiple interval parameters.

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Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling

Cited by 79 publications

References 53 publications

The Parameter Design of Nonlinear Energy Sink Installed on the Jacket Pipe by Using the Nonlinear Dynamical Theory

The Parameter Design of Nonlinear Energy Sink Installed on the Jacket Pipe by Using the Nonlinear Dynamical Theory

Conceptual Design Study Based on Reliability Assessment of Secondary Energy Conversion Mechanical System in Movable Object Type Wave Power Generator

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

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