Quick and Highly Efficient Modal Analysis Method Based on the Reanalysis Technique for Large Complex Structure and Topology Optimization
作者：
He, Jianjun* ;Xu, Bin
期刊：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS ,2020年17(3):1850134 ISSN：0219-8762
通讯作者：
He, Jianjun
作者机构：
[He, Jianjun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410114, Hunan, Peoples R China.;[Xu, Bin] Northwestern Polytech Univ, Inst Vibrat Engn, Xian 710072, Shaanxi, Peoples R China.
通讯机构：
[He, Jianjun] C;Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410114, Hunan, Peoples R China.
关键词：
Inverse problems;Iterative methods;Numerical methods;Random number generation;Shape optimization;Stiffness matrix;Structural optimization;Topology;Complex structure;Dynamic characteristics;ICII;Large and complex structures;Pseudo-random numbers;Rayleigh-Ritz analysis;Reanalysis;Subspace iteration method;Modal analysis
摘要：
Modal analysis is widely used to investigate the dynamic characteristics of large and complex structures. For finite element models, iterative solvers are needed to precisely calculate eigenpairs or frequency and vibration mode. However, in cases such as large-scale analysis or reanalysis studies, or optimization design of a huge structure, computational cost may become too time consuming. This paper focuses on the quick structural modal analysis based on the reanalysis technique for large complex structures. Based on the stiffness and mass matrix of the analytical structures, a high precision and efficiency eigensolution is generated by the proposed modal analysis method (the Pseudo Random Independent and Coupling Inverse Iteration (PRICII) method), which combines the pseudo random number initialization, ICII (Independent and Coupling Inverse Iteration) strategy with the double Rayleigh-Ritz analysis. By comparing with the Subspace iteration method, Lanczos method, etc. the large-scale numerical examples show that the actual computational savings of the proposed method are usually higher than 75% with sufficient precision. Also, its applications in topology optimization are greatly effective. © 2020 World Scientific Publishing Company.
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英文
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The design of negative stiffness spring for precision vibration isolation using axially magnetized permanent magnet rings
作者：
Zhou, Zhenhua* ;Chen, Shuhan;Xia, Dun;He, Jianjun;Zhang, Peng
期刊：
Journal of Vibration and Control ,2019年25(19-20):2667-2677 ISSN：1077-5463
通讯作者：
Zhou, Zhenhua
作者机构：
[Zhou, Zhenhua; Chen, Shuhan; Xia, Dun; He, Jianjun; Zhang, Peng] Changsha Univ Sci & Technol, Coll Automot & Mech Engn, Changsha 410114, Hunan, Peoples R China;[Zhou, Zhenhua; Chen, Shuhan; Xia, Dun; He, Jianjun; Zhang, Peng] Changsha Univ Sci & Technol, Educ Dept Hunan Prov Key Lab Lightweight & Reliab, Changsha, Hunan, Peoples R China;[Zhou, Zhenhua] Changsha Univ Sci & Technol, Hunan Prov Key Lab Intelligent Mfg Technol High P, Changsha, Hunan, Peoples R China
通讯机构：
[Zhou, Zhenhua] C;Changsha Univ Sci & Technol, Coll Automot & Mech Engn, Changsha 410114, Hunan, Peoples R China.
关键词：
Negative stiffness;precision vibration isolation;permanent magnetic spring;uniformity negative stiffness characteristic;high-static-low-dynamic stiffness
摘要：
A negative stiffness element is always employed to generate high-static–low-dynamic stiffness characteristic of the vibration isolator, reduce the resonance frequency of the isolator, and improve the vibration isolation performance under low and ultra-low frequency excitation. In this paper, a new compact negative stiffness permanent magnetic spring (NSPMS) that is composed of two axial-magnetized permanent magnetic rings is proposed. An analytical expression of magnetic negative stiffness of the NSPMS is deduced by using the Coulombian model. After analyzing the effect of air-gap width, air-gap position, height difference between the inner ring and outer ring on the negative stiffness characteristic, a design procedure is proposed to realize the negative stiffness characteristic with a global minimum linear component and uniformity stiffness near the equilibrium position. Finally, an experimental prototype is developed to validate the effectiveness of the NSPMS. The experimental results show that combining a vibration isolator with the NSPMS in parallel can lower the natural frequency and improve the isolation performance of the isolator. © The Author(s) 2019.
语种：
英文
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Quick pseudo-random topology optimization design based on triangle element
作者：
He, Jian Jun* ;Xu, Bin
期刊：
Journal of Vibroengineering ,2017年19(4):2822-2843 ISSN：1392-8716
通讯作者：
He, Jian Jun
作者机构：
[He, Jian Jun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410076, Hunan, Peoples R China.;[Xu, Bin] Northwestern Polytech Univ, Inst Vibrat Engn, Xian 710072, Peoples R China.
通讯机构：
[He, Jian Jun] C;Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410076, Hunan, Peoples R China.
关键词：
Computational efficiency;Finite element method;Numerical methods;Shape optimization;Structural dynamics;Topology;Computational costs;ITS applications;Optimization design;Pseudo-random;Pseudo-random number vector;Pseudo-random numbers;Random topology;Rayleigh-Ritz analysis;Topology optimisation;Topology optimization design;Modal analysis
摘要：
This paper focuses on the fast highly approximate modal analysis and its applications in topology optimization design based on the triangle finite element. The proposed modal analysis methods are based on the initialized pseudo-random number vectors with the Rayleigh-Ritz analysis, which is very simple to implement and can easily be extended for structural dynamic topology optimization design. The numerical examples show that the proposed method is very effective with small computational cost and high efficiency which can effectively reduce huge computational cost without affecting the outcome of the optimization process. Meanwhile, the introduction of pseudo-random approximate modal analysis leads to the randomness and sub-optimal multiplicity of topology optimization results. Numerical examples show that the approximate pseudo-random modal analysis could also enlarge the search ability of the Optimality Criterion Method (OCM). © JVE INTERNATIONAL LTD.
语种：
英文
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基于微遗传算法的压电智能板结构/控制一体化拓扑优化设计及拓扑图提取
作者：
何建军;陈享姿
期刊：
机械强度 ,2016年38(4):754-759 ISSN：1001-9669
通讯作者：
He, J.
作者机构：
[何建军; 陈享姿] 长沙理工大学汽车与机械工程学院, 长沙, 410076
通讯机构：
School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha, China
关键词：
结构/;控制一体化拓扑优化设计;微遗传算法;小波分析降噪;拓扑图提取
摘要：
研究同时考虑结构拓扑构型、作动器位置与数目和控制器加权参数的压电智能板结构的结构/控制一体化拓扑优化设计问题。提出采用基于耦合模态空间的二次型最优控制系统设计,与基于微遗传算法和小波分析降噪相结合的策略进行一体化拓扑优化设计的实现和拓扑图提取。数值算例的结果表明,所提新方法计算量小,效率高,能够得到清晰的结构拓扑和良好的可控性。
语种：
中文
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基于耦合凝聚的二次修改的结构拓扑重分析
作者：
何建军;陈享姿
期刊：
机械强度 ,2016年38(5):980-983 ISSN：1001-9669
通讯作者：
He, J.
作者机构：
[何建军; 陈享姿] 长沙理工大学汽车与机械工程学院, 长沙, 410076
通讯机构：
School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha, China
关键词：
连续两次修改;耦合凝聚;动力学拓扑重分析;质量正交化
摘要：
研究了连续两次修改的结构动力学拓扑重分析问题。基于我们提出的耦合凝聚方法,独立和耦合质量正交化处理措施,再结合瑞利-里兹分析法,形成了适用于两次修改的增加自由度的结构拓扑大修改的快速动力学重分析方法。该方法减少了两次直接分析所需要的大量计算量,且操作简单,易于实现。数值算例结果表明,对于这类涉及两次修改的拓扑大修改重分析问题,所提的方法是十分有效的。
语种：
中文
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Dynamic response reliability based topological optimization of continuum structures involving multi-phase materials
作者：
Xu, Bin* ;Zhao, Lei;Li, Wenyu;He, Jianjun;Xie, Yi Min
期刊：
Composite Structures ,2016年149:134-144 ISSN：0263-8223
通讯作者：
Xu, Bin
作者机构：
[Xu, Bin; Li, Wenyu; Zhao, Lei] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China.;[He, Jianjun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410076, Hunan, Peoples R China.;[Xie, Yi Min] RMIT Univ, Sch Engn, Ctr Innovat Struct & Mat, GPO Box 2476, Melbourne, Vic 3001, Australia.;[Xie, Yi Min] XIE Archi Struct Design Shanghai Co Ltd, Shanghai 200433, Peoples R China.
通讯机构：
[Xu, Bin] N;Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China.
关键词：
BESO method;Continuum structure;Dynamic response;Multi-phase material;Reliability;Topological optimization
摘要：
For the purpose of improving structural dynamic reliability, a topological optimization methodology for maximizing the dynamic response reliability index is proposed based on the bi-directional evolutionary structural optimization (BESO) method. The objective of the present study is to maximize the dynamic response reliability index at specified points on the structure under random excitation, subject to volume constraints on multi-phase materials over the admissible design domain. The sensitivity of the dynamic response reliability index with respect to the design variables is derived. The optimization procedure of the extended BESO method is presented. A series of numerical examples in both 2D and 3D are presented to demonstrate the effectiveness and efficiency of the proposed approach. © 2016 Elsevier Ltd.
语种：
英文
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基于伪随机特征向量的二次修改的结构拓扑重分析
作者：
何建军;陈享姿
期刊：
振动与冲击 ,2016年35(8):207-210 ISSN：1000-3835
作者机构：
[陈享姿; 何建军] School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha, 410004, China
关键词：
连续两次修改;伪随机;动力学拓扑重分析;质量正交化
摘要：
研究了连续两次修改的结构动力学拓扑重分析问题。基于我们提出的特征向量伪随机初始化方法,独立和耦合质量正交化处理措施,再结合瑞利-里兹分析法,形成了适用于两次修改的增加自由度的结构拓扑大修改的快速动力学重分析方法。该方法减少了两次直接分析所需要的大量计算量,且操作简单,易于实现。数值算例结果表明,对于这类涉及两次修改的拓扑大修改重分析问题,该方法是十分有效和高精度的。
语种：
中文
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Investigation on Microstructure and Fatigue Characteristics of Spray-Formed SiCp/Al-20Si Composite
作者：
Li, Wei* ;Ning, Yunfei;Chen, Jian;Sun, Youping;Hu, Yongle;...
期刊：
Transactions of the Indian Institute of Metals ,2015年68(5):769-775 ISSN：0972-2815
通讯作者：
Li, Wei
作者机构：
[Hu, Yongle; Ning, Yunfei; Li, Wei; Chen, Jian; He, Jianjun] Changsha Univ Sci & Technol, Sch Energy & Power Engn, Changsha 410014, Hunan, Peoples R China.;[Li, Wei] Changsha Univ Sci & Technol, Key Lab Lightweight & Reliabil Technol Engn Vehic, Educ Dept Hunan Prov, Changsha 410014, Hunan, Peoples R China.;[Sun, Youping] Guang Xi Univ Sci & Technol, Key Lab Automobile Components & Vehicle Technol, Liuzhou 545006, Guangxi, Peoples R China.
通讯机构：
[Li, Wei] C;Changsha Univ Sci & Technol, Sch Energy & Power Engn, Changsha 410014, Hunan, Peoples R China.
关键词：
Composite;Fatigue;Fracture surface;Si phase;SiC particles
摘要：
The microstructures, high-cycle fatigue properties, fatigue crack growth and fatigue facture surfaces of spray-formed composite and its matrix alloy were investigated, respectively. The results show that the high-cycle fatigue properties of SiCp/Al–20Si composites are superior, as SiC particles improve the mechanical properties of composite. The fracture of Si and the interfacial debonding including both Al/Si and Al/SiC were the principle mechanisms in the fatigue fracture of composite materials. Detailed quantitative analyses indicates that the extensive SiC particle cracking induces a high level of fatigue crack closure, which effectively reduces the crack growth rate, resulting in superior fatigue crack propagation properties for a given ΔK, i.e. lower crack growth rate and higher intrinsic threshold stress intensity factor as compared to the matrix alloy. Crack deflections around SiC particles and particle cracking are the principle mechanisms of interaction between SiC particles and crack tip. © 2015, The Indian Institute of Metals - IIM.
语种：
英文
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Integrated Topology Optimization of Structure/Vibration Control for Piezoelectric Cylindrical Shell Based on the Genetic Algorithm
作者：
He, Jianjun* ;Chen, Xiangzi
期刊：
Shock and Vibration ,2015年2015:1-10 ISSN：1070-9622
通讯作者：
He, Jianjun
作者机构：
[Chen, Xiangzi; He, Jianjun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410004, Hunan, Peoples R China.
通讯机构：
[He, Jianjun] C;Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410004, Hunan, Peoples R China.
摘要：
A hybrid optimization strategy for integrated topological optimization design of piezoelectric cylindrical flat shell structure is proposed. The method combines the genetic algorithm (GA) and linear-quadratic-regulator (LQR) theory to optimize the performance of coupling structure/control system. The GA is used to choose the optimal structure topology and number and placements of actuators and control parameters; meanwhile, the LQR is used to design control system to suppress vibration of optimal structure under sinusoidal excitation, which is based on the couple-mode space control. In addition, the mathematical morphology operators are used for repairs of disconnected structure topology. The results of numerical simulation and computations show that the proposed method is effective and feasible, with good performance for the optimal and coupling piezoelectric cylindrical shell structure/control system. © 2015 Jianjun He and Xiangzi Chen.
语种：
英文
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Structural modal reanalysis for large, simultaneous and multiple type modifications
作者：
He Jian-jun* ;Chen Xiang-Zi;Xu Bin
期刊：
Mechanical Systems and Signal Processing ,2015年62-63:207-217 ISSN：0888-3270
通讯作者：
He Jian-jun
作者机构：
[Chen Xiang-Zi; He Jian-jun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410076, Hunan, Peoples R China.;[Xu Bin] Northwestern Polytech Univ, Inst Vibrat Engn, Xian 10072, Peoples R China.;[He Jian-jun] Changsha Univ Sci & Technol, Changsha 410076, Hunan, Peoples R China.
通讯机构：
[He Jian-jun] C;Changsha Univ Sci & Technol, Changsha 410076, Hunan, Peoples R China.
关键词：
Boundary, Topology and type modifications;ICMO;Modal reanalysis;Rayleigh-Ritz analysis
摘要：
Eigenvalue problem is widely used to investigate the dynamic characteristics of large and complex structure. For finite element models, iterative solvers are needed to precisely calculate eigenvectors and eigenvalues. However, in cases such as large-scale reanalysis studies, or optimization design of huge structure, computational cost can quickly become too time consuming. This paper focus on the structural modal reanalysis for large and multiple modifications (including simultaneous boundary, topology and type modifications), which can greatly affect the eigen-modes of the modified structures. The proposed methods are based on the results from the modal analysis of the original structure, and the stiffness and mass matrix of the modified structures. A highly approximate eigensolution are generated by the proposed method, which is combined the newly added DOF (Degrees of Freedom) condensation, ICMO strategy (Independent and Coupling Mass Orthogonalization) with the Rayleigh-Ritz analysis. The numerical examples show that the proposed method is efficient with high precision even when large and multiple type modifications of the structural topology, boundary and type are made simultaneously. (C) 2015 Elsevier Ltd. All rights reserved.
语种：
英文
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强声波激励下转子叶片的振动分析
作者：
何建军;陈享姿
期刊：
价值工程 ,2014年(29):14-15 ISSN：1006-4311
作者机构：
长沙理工大学汽车与机械工程学院,长沙,410004;[何建军; 陈享姿] 长沙理工大学
关键词：
高强声波;转子叶片;声波辐射;应力和声压分布
摘要：
声场分析是一类比较复杂的场分析问题。本文基于有限元法，建立了高强声波辐射场中某型转子叶片振动分析的有限元模型，并分别采用球面声波辐射，柱面声波辐射，平面声波辐射和均布声压等作用形式比较了叶片上振动的应力和声压分布。计算了3种叶片，数值计算的结果都与实验结果比较一致，定量揭示了高强声波对转子叶片的影响程度。
语种：
中文
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Integrated topology optimization design and experimental study of piezoelectric smart truss structure/bang-bang controls based on genetic algorithm
作者：
Jianjun He;Xiangzi Chen
作者机构：
[Jianjun He; Xiangzi Chen] School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410004, China
会议名称：
The 4th International Conference on Dynamics, Vibration and Control, ICDVC-2014(第四届国际动力学振动与控制会议)
会议时间：
2014-8-23
会议地点：
上海
会议主办单位：
中国力学学会;上海应用数学力学所
会议论文集名称：
The 4th International Conference on Dynamics, Vibration and Control, ICDVC-2014(第四届国际动力学振动与控制会议)论文集
摘要：
<正>In this paper,the problem of integrated topology optimization design of piezoelectric smart truss structure/control is studied.The simulation computations of simultaneous optimization for structure
语种：
英文
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New method of dynamical reanalysis for large modification of structural topology based on reduced model
作者：
He Jianjun* ;Jiang Jiesheng
期刊：
Advanced Materials Research ,2012年443-444(887):628-631 ISSN：1022-6680
通讯作者：
He Jianjun
作者机构：
[He Jianjun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410114, Hunan, Peoples R China.;[Jiang Jiesheng] Northwestern Polytech Univ, Dept Mech Engn, Xian 710072, Peoples R China.
通讯机构：
[He Jianjun] C;Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410114, Hunan, Peoples R China.
会议名称：
International Conference on Manufacturing Science and Materials Engineering (ICMSME 2011)
会议时间：
OCT 14-15, 2011
会议地点：
Shanghai, PEOPLES R CHINA
会议主办单位：
[He Jianjun] Changsha Univ Sci & Technol, Sch Automobile & Mech Engn, Changsha 410114, Hunan, Peoples R China.^[Jiang Jiesheng] Northwestern Polytech Univ, Dept Mech Engn, Xian 710072, Peoples R China.
会议论文集名称：
Advanced Materials Research
关键词：
dynamic reanalysis;modification of structural topology;reduced model;Rayleigh-Ritz analysis
摘要：
The paper presents a new improved method for structural dynamic reanalysis with large change in structure topology possessing added degrees of freedom (DOF). The method，which is based on twice reduced model of original and topological structures, combines independent mass orthogonality and Rayleigh-Ritz analysis. Two numerical examples were used to show that the presented method can provide efficient and high quality approximation result for eigenvalues reanalysis when large modifications of the structural topology are made.
语种：
英文
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Lingo和1stOpt在结构优化设计中的应用比较
作者：
李姣玉;何建军
期刊：
价值工程 ,2012年31(24):9-10 ISSN：1006-4311
作者机构：
株洲市第五中学,株洲,412000;长沙理工大学汽车与机械工程学院,长沙,410115;[何建军] 长沙理工大学;[李姣玉] 湖南省株洲市第五中学
关键词：
应力约束;尺寸优化;显式函数
摘要：
本文研究了位移、应力和稳定约束下桁架结构的尺寸优化设计问题。首先,基于Matlab的有限元分析和符号计算功能,采用近似方法得到位移约束的显式函数,再结合桁架结构应力约束的计算公式,构造优化设计的数学模型,最后,采用Lingo和1stOpt软件对该问题分别进行优化求解并予以比较。数值算例的结果表明,两种方法得到的优化结果一致,都能明显的减轻设计结构的重量,且方法简单,易实施,但两种软件各有优缺点。
语种：
中文
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基于Lingo和Matlab的空间桁架结构联合优化设计
作者：
李姣玉;何建军
期刊：
价值工程 ,2012年31(26):106-107 ISSN：1006-4311
作者机构：
株洲市第五中学,株洲,412000;长沙理工大学汽车与机械工程学院,长沙,410115;[何建军] 长沙理工大学;[李姣玉] 湖南省株洲市第五中学
关键词：
应力约束;尺寸优化;显式函数
摘要：
本文研究了位移和应力约束下桁架结构的尺寸优化设计问题。首先，基于Matlab的有限元分析和符号计算功能，采用近似方法得到位移约束的显式函数，再结合桁架结构应力约束的计算公式，构造优化设计的数学模型，最后，采用Lingo和Matlab软件分别进行优化求解。数值算例的结果表明，两种方法得到的优化结果完全一致，都能明显的减轻设计结构的重量，且方法简单，易实施。
语种：
中文
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压电智能连续体结构/控制一体化广义拓扑优化
作者：
何建军;徐斌;姜节胜
期刊：
振动工程学报 ,2010年23(1):19-25 ISSN：1004-4523
通讯作者：
He, J.-J.(hezhengde8@163.com)
作者机构：
[何建军] School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China;[何建军; 姜节胜; 徐斌] Institute of Vibration Engineering, Northwestern Polytechnical University, Xi'an 710072, China
通讯机构：
School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, China
关键词：
一体化优化设计;耦合模态空间;遗传算法;数学形态学
摘要：
对于以往较少涉及到的同时考虑结构拓扑、作动器位置与数目和控制器参数等多种优化设计变量参与的压电智能板结构的一体化优化设计问题,研究了结构/控制一体化广义拓扑优化设计的方法.提出采用基于耦合模态空间的二次型最优控制系统设计与基于遗传算法和数学形态学处理的策略进行一体化拓扑优化设计实现.数值算例的结果表明,所提方法合理、有效,能够得到清晰的结构拓扑和良好的可控性.
语种：
中文
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