Applied Mathematical Modelling最新文献_第2页

Motion controller for multi-joint robotic arm with deep cascade gated Bayesian broad learning system 采用深度级联门控贝叶斯广义学习系统的多关节机械臂运动控制器

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-04 DOI: 10.1016/j.apm.2024.115792

Jiyong Zhou , Guoyu Zuo , Shuangyue Yu , Shuaifeng Dong , Chunfang Liu

{"title":"Motion controller for multi-joint robotic arm with deep cascade gated Bayesian broad learning system","authors":"Jiyong Zhou , Guoyu Zuo , Shuangyue Yu , Shuaifeng Dong , Chunfang Liu","doi":"10.1016/j.apm.2024.115792","DOIUrl":"10.1016/j.apm.2024.115792","url":null,"abstract":"<div><div>Intelligent controllers based on the broad learning system can simplify the process of model parameter adjustment, finding wide applications in the motion control of multi-joint robotic arms. However, motion controllers for multi-joint robotic arms based on broad learning system exhibit insufficient precision and overlook the impact of joint motion commonalities on controller design. Therefore, this paper proposes a novel motion control strategy for a multi-joint robotic arm based on a deep cascade feature-enhancement gated Bayesian broad learning system. Firstly, the motion controller of the deep cascade feature-enhancement Bayesian broad learning system is constructed to enhance the robotic arm motion control precision. Secondly, an incremental node generation module with an attention-gated mechanism is constructed to capture the unique motion characteristics of the target joints, which is further combined with model generalization to simplify the motion control process of the multi-joint robotic arm. Finally, controller convergence is enhanced by combining it with the Lyapunov theory to constrain the learning parameters. Simulations and physical experiments are designed to verify the feasibility and superiority of the proposed motion control strategy. The results demonstrated that the strategy improved the accuracy of robotic arm motion control, with the root mean square error in position tracking reduced to 0.0019 rad. This represents a 93.39% reduction in error compared to existing techniques.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115792"},"PeriodicalIF":4.4,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hygrothermoelastic analysis of the nano-circular plate with memory effect 具有记忆效应的纳米圆板的水热弹性分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-04 DOI: 10.1016/j.apm.2024.115797

Nagesh Dhore , Lalsingh Khalsa , Vinod Varghese

引用次数: 0

An improved transfer learning method for rotor unbalance position identification from simulated data to experimental data 从模拟数据到实验数据的转子不平衡位置识别的改进迁移学习法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-04 DOI: 10.1016/j.apm.2024.115793

Qingyu Zhu , Shuo Han , Tongguang Yang , Xiaoming Huang , Qingkai Han

{"title":"An improved transfer learning method for rotor unbalance position identification from simulated data to experimental data","authors":"Qingyu Zhu , Shuo Han , Tongguang Yang , Xiaoming Huang , Qingkai Han","doi":"10.1016/j.apm.2024.115793","DOIUrl":"10.1016/j.apm.2024.115793","url":null,"abstract":"<div><div>In the study of dynamic balancing for flexible rotors operating at high speeds, determining the unbalanced position of the rotor has consistently posed significant challenges. Accurate identification of the unbalanced position enables low-speed dynamic balancing to serve as a viable alternative to high-speed methods, ultimately reducing costs and enhancing operational efficiency. Although deep learning techniques utilizing limited labeled data have shown promising results in identifying unbalanced positions, the challenge of gathering a sufficient amount of labeled data for effectively training diagnostic models remains substantial. To address this issue, we propose a Pre-Adaptive Transfer Learning (PATL) approach that employs sample reconstruction through frequency domain correlation analysis. This technique facilitates cross-domain deep transfer recognition of rotor unbalanced positions by transferring insights from simulated dynamic model data to experimental datasets. Compared to existing methodologies, the proposed approach demonstrates significant improvements in both the accuracy and generalization of unbalanced position identification. The novelty of this research lies in the introduction of pre-adaptive transfer learning, which effectively minimizes the disparity between experimental and simulation data, thereby enhancing the model's recognition capabilities. Experimental results indicate that the proposed method achieves effective balancing outcomes across various operating conditions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115793"},"PeriodicalIF":4.4,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142656034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A stochastic particle model for aggregate morphology and particle size distributions under coagulation process 混凝过程中聚合体形态和粒度分布的随机颗粒模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-03 DOI: 10.1016/j.apm.2024.115791

Hongmei Liu , Mu Chen , Qing Zhang , Xiao Jiang , Xuedong Liu

{"title":"A stochastic particle model for aggregate morphology and particle size distributions under coagulation process","authors":"Hongmei Liu , Mu Chen , Qing Zhang , Xiao Jiang , Xuedong Liu","doi":"10.1016/j.apm.2024.115791","DOIUrl":"10.1016/j.apm.2024.115791","url":null,"abstract":"<div><div>A new simple and efficient particle model is proposed in the present study based on the ballistic cluster–cluster agglomeration (BCCA) mechanism. The proposed Random Orientation-Tangent Point (ROTP-BCCA) model is implemented into the Monte Carlo method to investigate the aggregate coagulation process under the free molecular regime. The proposed ROTP-BCCA model is firstly used to predict the fractal characteristics of aggregates composed of monodispersed primary particles and validated by the previously reported results and is compared with the method of Lindberg et al. (L-BCCA model). Then the effects of primary particle polydispersity on the fractal characteristics, the first three order moments and the particle size distributions (PSD) of the aggregates are also investigated. The results show that the obtained fractal characteristics, the first three order moments and the particle size distributions of the aggregates for monodispersed and polydispersed primary particles from the present ROTP-BCCA model agree well with the results of L-BCCA model. Furthermore, the computational efficiency of the present proposed ROTP-BCCA model is proved to be much higher than the L-BCCA model.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115791"},"PeriodicalIF":4.4,"publicationDate":"2024-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A novel temporal finite element method to solve static viscoelastic problems 解决静态粘弹性问题的新型时间有限元方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-02 DOI: 10.1016/j.apm.2024.115790

Fengling Chen, Yiqian He, Jiaxuan Li, Xiaoteng Wang, Haitian Yang

{"title":"A novel temporal finite element method to solve static viscoelastic problems","authors":"Fengling Chen, Yiqian He, Jiaxuan Li, Xiaoteng Wang, Haitian Yang","doi":"10.1016/j.apm.2024.115790","DOIUrl":"10.1016/j.apm.2024.115790","url":null,"abstract":"<div><div>A novel temporal finite element method is presented to solve static viscoelastic problems, which is more flexible and appropriate to describe temporal variation of displacement than conventional finite difference or numerical integral methods. By using virtual work principle, a spatial finite element based governing equation is derived in terms of displacement and its derivatives. Then two temporal finite element models are developed using Gurtin variational principle and weighted residual technique. A kind of hybrid shape functions with polynomial and trigonometric basis is stressed to give more flexible descriptions of time varying variables. A criterion of stability analysis is derived, which can numerically be conducted when the constitution of shape functions and step size are prescribed. A recursive algorithm toward end is developed by which the temporal FE analysis can be conducted via a matrix power product with the initial condition, instead of step marching. The proposed approach is available for the viscoelastic model described by linear differential equations with order <em>h</em> ≤ 2, and can conveniently be combined with well-developed numerical algorithms to tackle with boundary value problems, such as FEM, SBFEM etc. Various numerical examples, including those with static/harmonic loads, creep, stress singularity and heterogeneous structures, etc. are provided to illustrate the efficiency of the proposed approaches, and impacts of the temporal FE model, constitution of shape functions, and step size, etc. are taken into account. Satisfactory results are achieved in comparison with analytical or ABAQUS-based solutions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115790"},"PeriodicalIF":4.4,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On progressive failure of sand considering fabric evolution with micropolar hypoplastic model 用微波低塑性模型研究砂的渐进破坏（考虑织物演化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-01 DOI: 10.1016/j.apm.2024.115794

Xuefeng Li , Weinan Lu , Yuqi He , Guowei Fan

{"title":"On progressive failure of sand considering fabric evolution with micropolar hypoplastic model","authors":"Xuefeng Li , Weinan Lu , Yuqi He , Guowei Fan","doi":"10.1016/j.apm.2024.115794","DOIUrl":"10.1016/j.apm.2024.115794","url":null,"abstract":"<div><div>To study the progressive failure of sand considering the multi-scale and its fabric evolution, the fabric is used as the quantitative link from micro to macro, then the influence of fabric on the anisotropic critical state is adopted to establish a hypoplastic model, and the fabric evolution and micropolar theory are employed to describe the mesoscopic mechanism of local deformation, finally, the simulations of discrete element methods (DEM) and finite element methods (FEM) is coordinated to reproduce the progressive failure. In the DEM biaxial simulations, the distribution of the contact normal is quantitatively determined by the novel orthotropic fabric tensor, and the difference in particle shapes and sample position showed that the fabric evolution is obvious, especially inside and outside the shear band, and before or after the shear band penetration. The fabric evolution of DEM is implanted into the corresponding location of the FEM sample, the results indicate that the macro-meso incorporation hypoplastic model can effectively describe strain localization evolution and progressive failure. The internal length of micropolar theory and particle size are identified as the main factors influencing the shear band thickness. The anisotropic fabric influences the shear band patterns, with circular and elliptical particles tending to form an \"X-shape\" shear band, while square and triangular particles tend to form a \"L-shape\" shear band.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115794"},"PeriodicalIF":4.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Coupled critical plane-pseudo excitation method for multiaxial fatigue analysis of structures under random vibration 用于随机振动下结构多轴疲劳分析的耦合临界面-伪激励法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-01 DOI: 10.1016/j.apm.2024.115789

Chenyang Mao , Yan Zhao , Xiaoya Zhou

{"title":"Coupled critical plane-pseudo excitation method for multiaxial fatigue analysis of structures under random vibration","authors":"Chenyang Mao , Yan Zhao , Xiaoya Zhou","doi":"10.1016/j.apm.2024.115789","DOIUrl":"10.1016/j.apm.2024.115789","url":null,"abstract":"<div><div>This study proposes a coupled critical plane–pseudo excitation method for assessing multiaxial fatigue damage in mechanical structures subjected to random loads. Within the modal coordinate framework, we derive an expression for the spectral moment of the structural stress response using the pseudo excitation method, which facilitates the decoupling of spatial characteristics from frequency domain properties. For the input power spectral density, represented as an integer power function, we employ eigenvalue decomposition and the residue theorem to derive an analytical expression for the spectral moment of the modal displacement response. By constructing equivalent stress modes based on the maximum shear stress and normal stress criteria, we obtain an expression for the equivalent stress variance. Intelligent optimization algorithms are utilized to determine the critical plane position and the corresponding equivalent stress spectral moments, followed by the application of the Dirlik method for fatigue assessment. A numerical example involving random vibration multiaxial fatigue analysis of an L-shaped thin-walled plate demonstrates the effectiveness of the proposed coupled critical plane–pseudo excitation method in comparison to the traditional critical plane method that relies on the stress covariance matrix for calculating equivalent variance. The results confirm the accuracy and efficiency of our approach, and we further explore the impact of different forms of the excitation power spectral density and the damping ratios on the computational outcomes.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115789"},"PeriodicalIF":4.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142656035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Topology optimization of multi-material structures subjected to dynamic loads 承受动态载荷的多材料结构的拓扑优化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-11-01 DOI: 10.1016/j.apm.2024.115787

Jianhua Xiang , Shikeng Zhao , Baoshou Liu , Yongfeng Zheng , Jiale Huang

引用次数: 0

Reliability modeling and statistical analysis of accelerated degradation process with memory effects and unit-to-unit variability 具有记忆效应和单位间变异性的加速退化过程的可靠性建模和统计分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-31 DOI: 10.1016/j.apm.2024.115788

Shi-Shun Chen , Xiao-Yang Li , Wen-Rui Xie

{"title":"Reliability modeling and statistical analysis of accelerated degradation process with memory effects and unit-to-unit variability","authors":"Shi-Shun Chen , Xiao-Yang Li , Wen-Rui Xie","doi":"10.1016/j.apm.2024.115788","DOIUrl":"10.1016/j.apm.2024.115788","url":null,"abstract":"<div><div>A reasonable description of the degradation process is essential for credible reliability assessment in accelerated degradation testing. Existing methods usually use Markovian stochastic processes to describe the degradation process. However, degradation processes of some products are non-Markovian due to the interaction with environments. Misinterpretation of the degradation pattern may lead to biased reliability evaluations. Besides, owing to the differences in materials and manufacturing processes, products from the same population exhibit diverse degradation paths, further increasing the difficulty of accurate reliability estimation. To address the above issues, this paper proposes an accelerated degradation model incorporating memory effects and unit-to-unit variability. The memory effect in the degradation process is captured by the fractional Brownian motion, which reflects the non-Markovian characteristic of degradation. The unit-to-unit variability is considered in the acceleration model to describe diverse degradation paths. Then, lifetime and reliability under normal operating conditions are presented. Furthermore, to give an accurate estimation of the memory effect, a new statistical analysis method based on the expectation maximization algorithm is devised. The effectiveness of the proposed method is verified by a simulation case and a real-world tuner reliability analysis case. The simulation case shows that the estimation of the memory effect obtained by the proposed statistical analysis method is much more accurate than the traditional one. Moreover, ignoring unit-to-unit variability can lead to a highly biased estimation of the memory effect and reliability. From the tuner reliability analysis case, the proposed model is superior in both deterministic degradation trend predictions and degradation boundary quantification compared to existing models, which can provide more credible reliability assessment.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115788"},"PeriodicalIF":4.4,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142656022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An innovative method for short-term forecasting of blockchain cryptocurrency price 区块链加密货币价格短期预测的创新方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2024-10-31 DOI: 10.1016/j.apm.2024.115795

Yunfei Yang, Xiaomei Wang, Jiamei Xiong, Lifeng Wu, Yifang Zhang

{"title":"An innovative method for short-term forecasting of blockchain cryptocurrency price","authors":"Yunfei Yang, Xiaomei Wang, Jiamei Xiong, Lifeng Wu, Yifang Zhang","doi":"10.1016/j.apm.2024.115795","DOIUrl":"10.1016/j.apm.2024.115795","url":null,"abstract":"<div><div>Cryptocurrency market sentiment is relatively unstable, which makes cryptocurrency price an attribute of high volatility. Accurate forecasting methods help to clarify the volatility trend of the cryptocurrency price, thereby reducing the investment risk of participants in the cryptocurrency market. Therefore, this research proposed a new method for short-term forecasting of the cryptocurrency price based on a small sample. This study took three typical blockchain cryptocurrencies (Bitcoin, Ethereum, Litecoin) as experimental objects, chose data intervals with different volatility trends in the U.S. stock indices between 2022 and 2023 as sample data, and used grey correlation analysis to select core affecting variables. Furthermore, this study built a grey multivariate convolution model with prioritized accumulating novel information for conducting prediction experiments on blockchain cryptocurrency price. The research findings demonstrate that the proposed model achieves high prediction accuracy in all experiments, and the model accuracy is superior to the comparison models. This study proposes a scientific prediction approach for blockchain cryptocurrency price, which can guide financial investors in developing and analyzing quantitative financial trading strategies to a certain extent. Meanwhile, this study provides a specific reference for relevant government departments to strengthen cryptocurrency regulation, prevent financial risks, and maintain financial stability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"138 ","pages":"Article 115795"},"PeriodicalIF":4.4,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142656023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0