4.7 Article

A hybrid reduced-order modeling technique for nonlinear structural dynamic simulation

Journal

AEROSPACE SCIENCE AND TECHNOLOGY
Volume 84, Issue -, Pages 724-733

Publisher

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.ast.2018.11.008

Keywords

Geometric nonlinearities; Dynamic transient response; Reduced-order model; Hardening and/or softening nonlinearities

Funding

  1. National Natural Science Foundation of China [11602286, 51375386, 11502278]
  2. Natural Science Foundation of Shaanxi Province [2018JQ1071]
  3. Fundamental Research Fund for the Central Universities of China [31020170QD002]
  4. CALT fund [2017MC010110]
  5. Beijing Natural Science Foundation of China [3182042]
  6. Pre-research Field Foundation of Equipment Development Department of China [61402100103]

Ask authors/readers for more resources

Thin-walled structures are always subjected to a large range of extreme loading cases leading to obvious geometric nonlinearities in structural dynamic response, such as vibration with large amplitudes in aeronautics and astronautics field. Various dynamic reduced-order models have been investigated from detailed finite element models, to largely reduce the computational burden of the structural dynamic responses. However, to construct these low-order models, applying a series of nonlinear static simulations to the full-order model is necessary. This paper aims to develop a hybrid reduced-order modeling method by combining the dynamic and static reduced-order models together, to estimate the dynamic transient response caused by geometrically nonlinear finite element models. A few free-vibration modes of interest are selected to reduce basis vectors of dynamic reduced-order model. Based on Koiter asymptotic expansion theory, the constructed static reduced-order model is applied to the nonlinear static analyses. Therefore, not only does the proposed method make it possible to calculate the nonlinear dynamic response far more efficiently than full-order modeling methods, but computational burdens in construction of dynamic reduced-order model are also largely reduced compared to existing approaches. Various engineering numerical examples with hardening and/or softening nonlinearities are carefully tested to validate the good quality and efficiency of the proposed method. (C) 2018 Elsevier Masson SAS. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Engineering, Aerospace

A novel load transfer method utilizing three distance power functions with optimal adjustable parameters

Yufei Rong, Qin Sun, Kun Ma, Yazhou Yang, Ke Liang

Summary: In this paper, a novel method is proposed to transfer aerodynamic loads using distance-based weight functions. The method achieves optimal load transfer by adjusting the distance factor and weight functions. It shows great potential in the numerical analysis of aeroelastic behaviors for air-vehicle.

AEROSPACE SCIENCE AND TECHNOLOGY (2022)

Article Engineering, Aerospace

Adhesion shear strength test method for freshwater/seawater ice on carbon ceramic brake pads of amphibious aircraft

Y. J. Zhang, Renzhong Guo, Yunhui Zhang, K. Liang

Summary: This study proposes a test method for the freshwater/seawater ice adhesion shear strength of amphibious aircraft brake pads and investigates the influence of icing process, mechanism, temperature, and freshwater/seawater on ice adhesion shear strength of carbon ceramic brake pads.

AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY (2022)

Article Materials Science, Multidisciplinary

The thermal-mechanical buckling and postbuckling design of composite laminated plate using a ROM-driven optimization method

Ke Liang, Zheng Li, Zhenghu Wang, Yongjie Zhang

Summary: This study aims to develop a ROM-driven lamination optimization to maximize the buckling and postbuckling performance of compressed plates under high temperature environment.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

Article Mathematics, Interdisciplinary Applications

Geometrically nonlinear analysis utilizing co-rotational framework for solid element based on modified Hellinger-Reissner principle

Yufei Rong, Feng Sun, Qin Sun, Ke Liang

Summary: In this paper, a solution framework for solid element based on co-rotational formulation is developed for geometrically nonlinear analysis. A novel eight-node solid element embedded in the framework is developed using a modified Hellinger-Reissner variational principle, and the stiffness matrix is derived by compatible displacement and the most desirable stress fields, as well as a penalty function. Additionally, an accelerated modified Newton method is proposed to improve the efficiency of the solution of nonlinear equations, and a hybrid load-controlled/arc-length algorithm is used to compute the equilibrium path of structures exhibiting instability.

COMPUTATIONAL MECHANICS (2023)

Article Engineering, Civil

Imperfection sensitivity study of the thermal-mechanical buckling of laminated composite cylinders using a novel reduced-order modeling method

Ke Liang, Zhenghu Wang

Summary: This paper presents a novel reduced-order modeling method for nonlinear buckling and imperfection sensitivity analyses of laminated composite cylinders subjected to axial compression. The method takes into account the effects of initial geometric imperfections and initial temperature field. The Koiter asymptotic theory is reformulated to construct a thermal-mechanical reduced-order model, which allows for evaluation of geometric imperfections and prediction of response. Numerical examples demonstrate the high efficiency and satisfactory accuracy of the proposed method, which is also applied in an optimization process.

THIN-WALLED STRUCTURES (2023)

Article Engineering, Aerospace

Placement and size-oriented heat dissipation optimization for antenna module in space solar power satellite based on interval dimension-wise method

Chen Yang, Qianqian Yu

Summary: This article introduces a novel heat management and dissipation optimization method for the antenna module in space solar power satellite. By considering both design and uncertain variables, a placement and size-oriented heat dissipation optimization based on interval dimension-wise method is proposed. The interval dimension-wise method is improved by using the Legendre polynomial approximation model and the union operator of boundary points combinations, and a mapping matrix with sensitivity analysis is developed to determine the final design variables. The heat dissipation optimization is solved using the coevolutionary constrained multi-objective optimization framework, and thermophysical response intervals of the optimal heat dissipation layout can be obtained again using the interval dimension-wise method.

AEROSPACE SCIENCE AND TECHNOLOGY (2023)

Article Automation & Control Systems

Synchronous Wireless Sensor and Sink Placement Method Using Dual-Population Co-evolutionary Constrained Multiobjective Optimization Algorithm

Qianqian Yu, Chen Yang, Guangming Dai, Lei Peng, Xiaoyu Chen

Summary: This study proposes a method to determine the simultaneous placement of sensors and sinks that minimizes energy consumption and maximizes information effectiveness. A dual-population constrained multiobjective optimization (DCCMO) algorithm is developed to solve the problem. Numerical examples show that DCCMO outperforms other tested algorithms in terms of diversity, convergence, and balancing energy consumption and information effectiveness.

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS (2023)

Article Materials Science, Multidisciplinary

A novel design of an actively deformable honeycomb structure with application to a variable thickness leading-edge wing

Ke Liang, Qian Cheng

Summary: This work presents a novel design method for achieving variable thickness leading-edge wing through actively deformable honeycomb structure. The classical Gibson theory is extended to accommodate non-regular hexagonal honeycomb single-cell with positive Poisson's ratio and concave hexagonal honeycomb single-cell with negative Poisson's ratio. A deformation unit consisting of positive and negative Poisson's ratio honeycomb multi-cells is proposed, with shape memory alloy as an actuator for producing in-plane incompatible deformation that induces out-of-plane bending. The method is validated through finite element simulations of changing the leading-edge shape from blunt to sharp using a segmented two-layered honeycomb-core plate.

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES (2023)

Article Materials Science, Multidisciplinary

A reduced-order solution for critical buckling temperature of thin-walled structures

Ke Liang, Jiaqi Mu, Zheng Li, Qian Cheng, Xiaoping Zhong

Summary: This study introduces a simplified approach for dealing with the thermoelastic geometrically nonlinear response of simply-supported thin-walled structures subjected to a purely thermal load. Previous method was only applicable to the buckling problem with fixed temperature. Now, the method is reformulated to determine the critical buckling temperature from the thermoelastic geometrically nonlinear buckling analysis. The reduced-order model is constructed based on the improve Koiter theory for thermal buckling analysis of the equivalent mechanical model. The accuracy and efficiency of the proposed method for thermal buckling analysis are demonstrated using various plates and shells.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2023)

Article Engineering, Aerospace

Investigation on nonlinear buckling performance of the optimized wing structure under the realistic flight cases

Ke Liang, Zhen Yin

Summary: In this paper, the nonlinear buckling analysis of a wing structure is performed using the sub-modeling technique and realistic flight conditions. By considering the flight cases and applying optimization techniques, the weight of the wing structure is minimized and the stability of the structure is enhanced.

AEROSPACE SCIENCE AND TECHNOLOGY (2023)

Article Engineering, Aerospace

Uncertain optimal attitude control for space power satellite based on interval Riccati equation with non-probabilistic time-dependent reliability

Chen Yang, Wanze Lu, Yuanqing Xia

Summary: Considering the uncertainties and disturbances in the attitude dynamics of space power satellites, a novel uncertainty-based LQR method with time-dependent reliability is proposed based on the non-probabilistic theory. An interval time-varying attitude dynamic model of the satellite is established, and controllers are designed to offset disturbances and control attitude. An interval Riccati equation-based optimal control method is proposed, and non-probabilistic time-dependent reliability is used to assess attitude states. An uncertain multi-objective optimization of attitude control with reliability constraints is proposed. The proposed method has been verified to have high efficiency and accuracy.

AEROSPACE SCIENCE AND TECHNOLOGY (2023)

Article Mathematics, Applied

Thermal-mechanical buckling analysis and optimization of the stringer stiffened cylinder using smeared stiffener based reduced-order models

Ke Liang, Jiaqi Mu, Zheng Li

Summary: The thermal-mechanical buckling analysis and optimization of stringer stiffened cylindrical shells are achieved using a smeared stiffener based reduced-order model. A novel reduced-order modeling method is proposed for the nonlinear buckling analysis of the stringer stiffened cylinder. The proposed method can accurately and efficiently obtain the thermoelastic geometrically nonlinear response of the cylinder and realize the optimization of the stiffening configuration at an affordable computational cost.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2023)

Article Engineering, Industrial

Reliability-constrained optimal attitude-vibration control for rigid-flexible coupling satellite using interval dimension-wise analysis

Chen Yang, Wanze Lu, Yuanqing Xia

Summary: This study proposes an uncertain optimal attitude-vibration control method for rigid-flexible coupling satellites with reliability constraints based on the interval dimension-wise analysis. The proposed method considers multi-source uncertainties and models them as interval parameters. With the help of the interval dimension-wise analysis method, the uncertain state response of the control system can be accurately predicted. An interval linear quadratic regulator (LQR) is then proposed to optimize the control input and cost function. Additionally, a non-probabilistic time-dependent reliability method is proposed to effectively evaluate the relationship between the uncertain state response and threshold.

RELIABILITY ENGINEERING & SYSTEM SAFETY (2023)

Article Computer Science, Hardware & Architecture

Positioning Accuracy Analysis of Industrial Robots Based on Non-Probabilistic Time-Dependent Reliability

Chen Yang, Wanze Lu, Yuanqing Xia

Summary: A novel method for positioning accuracy analysis based on non-probabilistic time-dependent reliability is proposed for industrial robots with multisource uncertainties. The uncertain parameters are considered as unknown-but-bounded (UBB) to overcome the limitation of the probabilistic method in analyzing fewer samples. The proposed method accurately estimates the interval transformation matrix of robots and the uncertain position of the end-effectors using the D-H method, and investigates the positioning accuracy analysis method using the Delaunay triangulation method combined with the interval method.

IEEE TRANSACTIONS ON RELIABILITY (2023)

Article Automation & Control Systems

Uncertainty-oriented optimal impedance control for EPS-human system with reliability evaluation

Wanze Lu, Chen Yang, Yuanqing Xia

Summary: This study proposes an interval optimal impedance control method for the electric power steering-human system with reliability constraints. A position-based impedance control model is developed for the integrated EPS-H system. Polynomial chaos expansion is employed to establish the interval state-space equation and obtain bounded responses. The influence of uncertain parameters is analyzed, and a non-probabilistic time-varying reliability method is proposed.

CONTROL ENGINEERING PRACTICE (2024)

Article Engineering, Aerospace

On the use of filament-based free wake panel methods for preliminary design of propeller-wing configurations

Andre F. P. Ribeiro, Carlos Ferreira, Damiano Casalino

Summary: This study compares a filament-based free wake panel method to experimental and validated numerical data in order to simulate propeller slipstreams and their interaction with aircraft components. The results show that the free wake panel method is able to successfully capture the slipstream deformation and shearing, making it a useful tool for propeller-wing interaction in preliminary aircraft design.

AEROSPACE SCIENCE AND TECHNOLOGY (2024)