Xuan Wang, Xiang Chen, V. Hoang, G. Jang, Kai Long (2026). Explicit optimization method for transient response of porous structures using moving morphable bars. Applied Mathematical Modelling.DOI
Xuan Wang, Kai-Lin Zheng, Kai Long, Yi-Min Xie (2026). Stress‐Constrained Topology Optimization of Sweep‐Frequency Harmonic Vibration Problems Using a B‐Spline‐Parameterized Topology Description Function Method. International Journal for Numerical Methods in Engineering.DOI
Bo Cui, Kai Long, Ayesha Saeed, Nianzhi Guo, Guangxing Wu, Hui Zhang (2026). Design Methodology for Self-Similar Modular Assembly Lattice-Type Wind Turbine Supporting Structures Using Topology Optimization. Computer Modeling in Engineering & Sciences.DOI
Xuan Wang, Yuankun Shi, Zeng Meng, Bo Yang, Kai Long (2025). Uncertainty-oriented topology optimization of dynamic structures considering hybrid uncertainty of probability and random field. Reliability Engineering & System Safety, Vol. 256.DOI
Jingbo Huang, Ayesha Saeed, Kai Long, Yu-Tang Chen, Rongrong Geng, Jia Jia, Tao Tao (2025). An Efficient Filter Implementation Method and Its Applications in Topology Optimization Utilizing k-d Tree Data Structure. De Computis.DOI
Jiao Jia, Jia-Cheng Zhang, Kai Long, Shiqing Wu, Zi-Long Zhao (2025). Crashworthiness topology optimization of bone-like porous structures. Engineering structures.DOI
Yi-Ming Zhou, Jinhua Zhang, Kai Long, Ayesha Saeed, Tao Tao, Jianjun Chen (2025). Topology optimization on a jacket structure for offshore wind turbines by altering structural design domain. Applied Ocean Research.DOI
Yi-Ming Zhou, Jinhua Zhang, Kai Long, Ayesha Saeed, Yu-Tang Chen, Rongrong Geng, Tao Tao, Xiaohui Guo (2025). Concurrent Design on Three-Legged Jacket Structure and Transition Piece of Offshore Wind Turbine by Exploiting Topology Optimization. Computer Modeling in Engineering & Sciences.DOI
Yu-Tang Chen, Amany AbdElSamea Saeed, Jingbo Huang, Kai Long, Tao Tao, Ke Sun (2025). A novel design methodology for a semi-submersible floating wind turbine utilizing topology optimization at the conceptual phase. Ocean Engineering.DOI
Huiwen Meng, Yongqian Liu, De Tian, Kai Long, Han Zhang (2025). Analysis of platform motion effects on fatigue loads and aerodynamic unsteadiness in 15 MW novel floating offshore wind turbines with transient impact. Ocean Engineering.DOI
Hang Meng, Jiaxing Wu, Xintao Li, Xia Guo, Kai Long, Mingwei Ge (2025). An efficient numerical modeling approach for twisted non-prismatic anisotropic composite beam based on explicit and unconditionally stable finite-difference time-domain (FDTD) method. Composite Structures.DOI
Yun-Fei Fu, Kai Long, Bernard Rolfe (2024). Correction: On Non-Penalization SEMDOT Using Discrete Variable Sensitivities. Journal of Optimization Theory and Applications.DOI
Tao Tao, Yi Yang, Taolue Yang, Shi Liu, Xin-Ran Guo, Hong-Xing Wang, Zhigang Liu, Wen Chen, Chonggan Liang, Kai Long, Ming-Sheng Chen (2024). Time-domain fatigue damage assessment for wind turbine tower bolts under yaw optimization control at offshore wind farm. Ocean Engineering.DOI
Cheng-Wang Zhang, Kai Long, Zhuo Chen, Xiaoyu Yang, Feiyu Lu, Jinhua Zhang, Zunyi Duan (2024). Multi-Material Topology Optimization for Spatial-Varying Porous Structures. Computer Modeling in Engineering & Sciences.DOI
Jingbo Huang, Kai Long, Yu-Tang Chen, Rongrong Geng, Ayesha Saeed, Hui Zhang, Tao Tao (2024). A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method. De Computis.DOI
Feiyu Lu, Kai Long, Rongrong Geng, Yu-Tang Chen, Ayesha Saeed, Jinhua Zhang, Tao Tao (2024). A quantitative approach for evaluating fatigue damage under wake effects and yaw control for offshore wind turbines. Sustainable Energy Technologies and Assessments.DOI
Kai Long, Ayesha Saeed, Jinhua Zhang, Yara Diaeldin, Feiyu Lu, Tao Tao, Yuhua Li, Peng-Wen Sun, Jin-Shun Yan (2024). An Overview of Sequential Approximation in Topology Optimization of Continuum Structure. Computer Modeling in Engineering & Sciences.DOI
Ming-Xing Liu, Rongrong Geng, Jia-Qing Wang, Yong Li, Kai Long, Wenjie Ding, Yi-Ming Zhou (2024). The Investigation of Various Flange Gaps on Wind Turbine Tower Bolt Fatigue Using Finite-Element Method. Applied Sciences.DOI
Huiwen Meng, Yongqian Liu, De Tian, Kai Long, Han Zhang, Yi Su, Ke Sun (2024). Dynamic response of novel floating wind turbine to freak waves during uninterrupted operation. Renewable Energy.DOI
Jinyu Gu, Zhuo Chen, Kai Long, Yingjun Wang (2024). Nonlinear fatigue damage constrained topology optimization. Computer Methods in Applied Mechanics and Engineering.DOI
Ruo Lan, Kai Long, Ayesha Saeed, Rongrong Geng, Yu-Tang Chen, Jinhua Zhang, Tao Tao, Jie Liu (2024). Fail-safe topology optimization for a four-leg jacket structure of offshore wind turbines. Structures.DOI
Nouman Saeed, Jingliang Gong, Yuejia Wan, Kai Long, Ayesha Saeed, Mei Liu, Xiong Chen, Wu-Jian Long, Haijun Zhou, Lixiao Li (2024). A novel design of multifunctional offshore floating platform structure based on topology optimization. Engineering Structures.DOI
Huiwen Meng, Yongqian Liu, De Tian, Kai Long, Bei Li, Yi Su, Ke Sun (2024). Parametric study of catenary mooring system on floating wind turbine foundation dynamic response. Journal of Renewable and Sustainable Energy.DOI
Huiwen Meng, Yongqian Liu, De Tian, Kai Long, Yi Su, Bei Li, Ke Sun (2024). A novel conceptual design of a semi-submersible foundation for a 15 MW floating wind turbine. Ocean Engineering.DOI
Changzheng Cheng, Bo Yang, Xuan Wang, Kai Long (2023). Reliability-based topology optimization using the response surface method for stress-constrained problems considering load uncertainty. Engineering Optimization, Vol. 550, No. 11.DOI
Nouman Saeed, Kai Long, Lixiao Li, Ayesha Saeed, Chengwan Zhang, Zhengkun Cheng (2023). An augmented Lagrangian method for multiple nodal displacement-constrained topology optimization. Engineering Optimization, Vol. 550, No. 11.DOI
Yun-Fei Fu, Kai Long, B. Rolfe (2023). On Non-Penalization SEMDOT Using Discrete Variable Sensitivities. Journal of Optimization Theory and Applications.DOI
Nouman Saeed, Lixiao Li, Kai Long, Haijun Zhou, Ayesha Saeed, Xiaoyu Yang, Feiyu Lu (2023). A quadratic approximatiAon for volume minimization topology optimization. Structures.DOI
Zhuo Chen, Kai Long, Cheng-Wang Zhang, Xiaoyu Yang, Xin Liu (2023). The Augmented Lagrangian Method for Topology Optimization Subject to Multiple Nodal Displacement Constraints. Journal of Computer-Aided Design & Computer Graphics.DOI
Jie Liu, Zi-Jie Chen, G. Wen, Junfeng He, Hong-Xin Wang, Liang Xue, Kai Long, Yi-Min Xie (2023). Origami Chomper‐Based Flexible Gripper with Superior Gripping Performances. Advanced Intelligent Systems.DOI
Xuan Wang, Yuankun Shi, V. Hoang, Zeng Meng, Kai Long, Yue-Sheng Wang (2023). Reliability-Based Topology Optimization of Fail-Safe Structures Using Moving Morphable Bars. Computer Modeling in Engineering & Sciences.DOI
Yun-Fei Fu, Kai Long, A. Zolfagharian, M. Bodaghi, B. Rolfe (2023). Topological design of cellular structures for maximum shear modulus using homogenization SEMDOT. Materials Today: Proceedings.DOI
Ying-Jun Wang, Xinqing Li, Kai Long, Pengju Wei (2023). Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research. Computer Modeling in Engineering & Sciences.DOI
Bo Yang, Chang-Zheng Cheng, Xuan Wang, Song Bai, Kai Long (2023). Robust reliability-based topology optimization for stress-constrained continuum structures using polynomial chaos expansion. Structural And Multidisciplinary Optimization.DOI
Zhuo Chen, Kai Long, Cheng-Wang Zhang, Xiaoyu Yang, Feiyu Lu, Rixin Wang, Ben-Liang Zhu, Xian-Min Zhang (2023). A fatigue-resistance topology optimization formulation for continua subject to general loads using rainflow counting. Structural And Multidisciplinary Optimization.DOI
Feiyu Lu, Kai Long, Yara Diaeldin, Ayesha Saeed, Jin-Hua Zhang, Tao Tao (2023). A time-domain fatigue damage assessment approach for the tripod structure of offshore wind turbines. Sustainable Energy Technologies and Assessments.DOI
Tao Tao, Kai Long, Taolue Yang, Shi Liu, Yi Yang, Xin-Ran Guo, Ming-Sheng Chen (2023). Quantitative assessment on fatigue damage induced by wake effect and yaw misalignment for floating offshore wind turbines. Ocean Engineering.DOI
Liang Yuan, H. Meng, Yajuan Liu, Kai Long, Guodong Wu, Xin Liu (2023). Research on the aerodynamic characteristics of wind turbine under coupled pitching motion and yaw error. IET conference proceedings..DOI
Feiyu Lu, Kai Long, Chengwan Zhang, Jinhua Zhang, Tao Tao (2023). A novel design of the offshore wind turbine tripod structure using topology optimization methodology. Ocean Engineering.DOI
Mingyao Liu, Ke Sun, Xudong Wang, Changbo Lu, Gang Ma, Kai Long (2023). Experiment and Simulation of the Shape and Stored Gas Characteristics of the Flexible Spherical Airbag for Underwater Compressed Air Energy Storage. Journal of Marine Science and Engineering.DOI
Hang Meng, Jiaxing Wu, Guangxing Wu, Kai Long (2023). A Novel Finite Difference Method for Solving Nonlinear Static Beam Equations of Wind Turbine Blade Under Large Deflections. International Conference on Computational & Experimental Engineering and Sciences.DOI
Zunyi Duan, Yuqi Liu, Junling Fan, Kai Long, Bin Xu, Jihong Zhu, Jun Yan (2023). Concurrent multi-material and multi-scale design optimization of fiber-reinforced composite material and structures for minimum structural compliance. Composite Structures.DOI
Cheng-Wang Zhang, Kai Long, Jin-Hua Zhang, Feiyu Lu, X. Bai, Jiao Jia (2022). A topology optimization methodology for the offshore wind turbine jacket structure in the concept phase. Ocean Engineering.DOI
L. Zhang, Lai Guo, Peng-Wen Sun, Jin-Shun Yan, Kai Long (2022). A generalized discrete fiber angle optimization method for composite structures: Bipartite interpolation optimization. International Journal for Numerical Methods in Engineering.DOI
Cheng-Wang Zhang, Kai Long, Xiaoyu Yang, Zhuo Chen, Nouman Saeed, Xuan Wang (2022). A transient topology optimization with time-varying deformation restriction via augmented Lagrange method. International Journal of Mechanics and Materials in Design.DOI
Kai Long, Xiao-Dong Huang, Zun-Yi Duan, Xuan Wang, Qu-Hao Li (2022). Introduction to the Special Issue on Novel Methods of Topology Optimization and Engineering Applications. Computer Modeling in Engineering & Sciences.DOI
Hongliang Liu, Peijin Wang, Yuan Liang, Kai Long, Di-Xiong Yang (2022). Topology Optimization for Harmonic Excitation Structures with Minimum Length Scale Control Using the Discrete Variable Method. Computer Modeling in Engineering & Sciences.DOI
Xin-Qing Li, Qing-Hai Zhao, Kai Long, Hong-Xin Zhang (2022). Multi-material topology optimization of transient heat conduction structure with functional gradient constraint. International Communications in Heat and Mass Transfer.DOI
Xuan Wang, Zeng Meng, Bo Yang, Changzheng Cheng, Kai Long, Jingchuan Li (2022). Reliability-based design optimization of material orientation and structural topology of fiber-reinforced composite structures under load uncertainty. Composite Structures.DOI
Jinshun Yan, Pengwen Sun, Lanting T. Zhang, Weifei Hu, Kai Long (2022). SGC—a novel optimization method for the discrete fiber orientation of composites. Structural and Multidisciplinary Optimization.DOI
Zhuo Chen, Kai Long, Xuan Wang, Jie Liu, Nouman Saeed (2021). A new geometrically nonlinear topology optimization formulation for controlling maximum displacement. Engineering Optimization, Vol. 530, No. 8.DOI
Xuan Wang, Kai Long, Zeng Meng, Bo Yu, Changzheng Cheng (2021). Explicit multi-material topology optimization embedded with variable-size movable holes using moving morphable bars. Engineering Optimization, Vol. 530, No. 7.DOI
Kai Long, Xiaoyu Yang, Nouman Saeed, Zhuo Chen, Yi-Min Xie (2021). Topological Design of Microstructures ofMaterials Containing Multiple Phases of Distinct Poisson’s Ratios. Computer Modeling in Engineering & Sciences.DOI
Nouman Saeed, Kai Long, J. Ansari, N. R. Jaffri, Usama Abrar (2021). Implementation of Structural Assemblies by Simultaneous Projection and Density-Based Topology Optimization. Journal of mathematics.DOI
Nouman Saeed, Kai Long, J. Ansari, N. R. Jaffri, Usama Abrar (2021). Improved Efficient Projection Density Function Based on Topology Optimization. Journal of mathematics.DOI
Guilin Wen, Gaoxi Chen, Kai Long, Xuan Wang, Jie Liu, Yi Min Xie (2021). Stacked-origami mechanical metamaterial with tailored multistage stiffness. Materials & Design.DOI
Kai Long, Xiaoyu Yang, Nouman Saeed, Ruohan Tian, P. Wen, Xuan Wang (2021). Topology optimization of transient problem with maximum dynamic response constraint using SOAR scheme. Frontiers of Mechanical Engineering.DOI
Xuan Wang, Hongliang Liu, Z. Kang, Kai Long, Zeng Meng (2021). Topology optimization for minimum stress design with embedded movable holes.DOI
Kai Long, Zhuo Chen, Cheng-Wang Zhang, Xiaoyu Yang, Nouman Saeed (2021). An Aggregation-Free Local Volume Fraction Formulation for Topological Design of Porous Structure. Materials.DOI
Chang-Zheng Cheng, Guang-Ya Bian, Xuan Wang, Kai Long, Jing-Chuan Li, Qiao-Guo Wu (2020). FUNDAMENTAL FREQUENCY MAXIMIZATION DESIGN FOR CONTINUOUS FIBER-REINFORCED COMPOSITE STRUCTURES.DOI
Zhuo Chen, Kai Long, P. Wen, Saeed Nouman (2020). Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage. Advances in Engineering Software.DOI
J. Jia, Jianxing Hu, Yongbin Wang, Shiqing Wu, Kai Long (2020). Structural topology optimization with positive and negative Poisson’s ratio materials.DOI
Nouman Saeed, Kai Long, A. Rehman (2020). A Review of Structural Optimization Techniques for Wind Turbines. International Conference on Computing, Mathematics and Engineering Technologies (iCoMET).DOI
D. Da, Xiang-Yang Cui, Kai Long, Yong Cai, Guangyao Li (2019). Multiscale concurrent topology optimization of structures and microscopic multi-phase materials for thermal conductivity. Engineering computations.DOI
Kai Long, Chunlu Gu, Xuan Wang, Jie Liu, Yi-Xian Du, Zhuo Chen, Nouman Saeed (2019). A novel minimum weight formulation of topology optimization implemented with reanalysis approach. International Journal for Numerical Methods in Engineering.DOI
Jie Liu, Haifeng Ou, Rong Zeng, Jia-Xi Zhou, Kai Long, G. Wen, Yi-Min Xie (2019). Fabrication, dynamic properties and multi-objective optimization of a metal origami tube with Miura sheets. Thin-walled structures.DOI
Kai Long, Xuan Wang, Xianguang Gu (2018). Multi-material topology optimization for the transient heat conduction problem using a sequential quadratic programming algorithm. Engineering Optimization, Vol. 500, No. 12.DOI
Kai Long, Philip F. Yuan, Shanqing Xu, Yi Min Xie (2018). Concurrent topological design of composite structures and materials containing multiple phases of distinct Poisson's ratios. Engineering Optimization, Vol. 500, No. 4.DOI
Kai Long, Xuan Wang, Xian-Guang Gu (2018). Concurrent topology optimization for minimization of total mass considering load-carrying capabilities and thermal insulation simultaneously.DOI
Kai Long, Xuan Wang, Xian-Guang Gu (2018). Local optimum in multi-material topology optimization and solution by reciprocal variables.DOI
Kai Long, Xuan Wang, Yi-Xian Du (2018). Robust topology optimization formulation including local failure and load uncertainty using sequential quadratic programming. International Journal of Mechanics and Materials in Design.DOI
Kai Long, Xuan Wang, Hongliang Liu (2018). Stress-constrained topology optimization of continuum structures subjected to harmonic force excitation using sequential quadratic programming. Structural And Multidisciplinary Optimization.DOI
Xuan Wang, Kai Long, V. Hoang, P. Hu (2018). An explicit optimization model for integrated layout design of planar multi-component systems using moving morphable bars. Computer Methods in Applied Mechanics and Engineering.DOI
J. Jia, Wei Cheng, Kai Long (2018). Two-scale topology optimization of macrostructure and porous microstructure composed of multiphase materials with distinct Poisson’s ratios. Latin American Journal of Solids and Structures.DOI
D. Da, Xiang-Yang Cui, Kai Long, Guan-Xing Huang, Guangyao Li (2018). Design of material microstructures for maximum effective elastic modulus and macrostructures.DOI
龙凯,王选,韩丹(2017). 基于多相材料的稳态热传导结构轻量化设计. 《力学学报》.
Kai Long, Dan Han, Xian-Guang Gu (2017). Concurrent topology optimization of composite macrostructure and microstructure constructed by constituent phases of distinct Poisson's ratios for maximum frequency.DOI
J. Jia, Wei Cheng, Kai Long (2017). Concurrent design of composite materials and structures considering thermal conductivity constraints.DOI
D. Da, Xiang-Yang Cui, Kai Long, G.-Y. Li (2017). Concurrent topological design of composite structures and the underlying multi-phase materials.DOI
Kai Long, Xian-Guang Gu, Xuan Wang(2017). 多相材料に基づく連続体構造の動的軽量設計法【JST・京大機械翻訳】.
J. Jia, Wei Cheng, Kai Long, Hao Deng (2016). Hierarchical design of structures and multiphase material cells.DOI
Peng-Wen Sun, Bai-Tao An, Kai Long (2016). Bolt Fatigue Strength for the Tower of Large-scale Horizontal Axis Wind Turbines.DOI
Kai Long, Xu-Zhen Du, Shan-Qing Xu, Yi-Min Xie (2016). Maximizing the effective Young's modulus of a composite material by exploiting the Poisson effect.DOI
Shanyi Xie, Ruicong Zhai, Xianhu Liu, Bao-Guo Li, Kai Long, Q. Ai (2016). Self-adaptive Genetic Algorithm and Fuzzy Decision Based Multi-objective Optimization in Microgrid with DGs.DOI
张春友,苏培亮,毛晓娥,龙凯(2015). 直驱型风力发电机的主轴强度研究. 《机械设计》.
龙凯,贾娇(2015). 大型水平轴风力机塔筒涡激振动焊缝疲劳分析. 《太阳能学报》.
龙凯,毛晓娥,刘雨菁(2015). 大型水平轴风力机塔筒顶部焊缝强度研究. 《太阳能学报》.
龙凯,贾娇(2015). 基于ICM法的传热结构周期性拓扑优化设计. 《工程力学》.
Kai Long (2015). PERIODIC TOPOLOGY OPTIMIZATION DESIGN FOR THERMAL CONDUCTIVE STRUCTURE USING ICM METHOD.
Xiao-Jing Fu, Li-Ming Zhou, Kai Long, Rong Yuan (2014). The influence of filtering method of topology optimization analysis problems. International Conference on Simulation and Modeling Methodologies, Technologies and Applications.DOI
Kai Long, Yuan-Qi Xie (2014). A kind of Large marine vertical axis aerogenerator group.
Kai Long, Yuan-Qi Xie, Hui Zhang (2014). Wind turbine generator system low-wind-speed airfoil section family.
R. H. Zuberi, Zheng-Xing Zuo, Kai Long, Wen Li (2010). Topological optimization of constant beam section under moving load condition. Modelling Autonomic Communications Environments.DOI
R. H. Zuberi, Zheng-Xing Zuo, Kai Long (2010). Topological Optimization of Beam Cross Section by Employing Extrusion Constraint.DOI
Hong-Wei Zhao, Kai Long, Zheng-Dong Ma (2010). Homogenization Topology Optimization Method Based on Continuous Field.DOI
Kai Long, Zheng-Xing Zuo (2010). NODE-BASED ICM METHOD WITH INDEPENDENT SPATIAL INTERPOLATION.
Kai Long, Zheng-Xing Zuo (2010). Topology Optimization for Compliant Mechanism Using Material Point Topological Variable: Topology Optimization for Compliant Mechanism Using Material Point Topological Variable.DOI
龙凯,左正兴(2009). 连续体结构拓扑优化的节点独立连续映射法. 《应用力学学报》.
Kai Long, Zheng-Xing Zuo, R. H. Zuberi (2009). Study on parameters for topological variables field interpolated by moving least square approximation.DOI
龙凯,左正兴(2008). 基于节点独立变量的连续体结构动态拓扑优化. 《固体力学学报》.
Kai Long, Zheng-Xing Zuo(2008). トポロジー最適化と形状最適化に基づくスピンドル構造の設計【JST・京大機械翻訳】.
R. H. Zuberi, Kai Long, Zheng-Xing Zuo (2008). Design Optimization of EOT Crane Bridge.
Hui-Hua Feng, Zheng-Xing Zuo, Ridong Liao, Kai Long (2007). Modal Correlation Based Analysis on Dynamic Characters of a Commercial Semi-Trailer's Chassis Frames.
预印本
Jie Liu, Zijie Chen, Guilin Wen, Junfeng He, Hongxin Wang, Liang Xue, Kai Long, Yi Min Xie (2023). Nonlinear topology optimization design and gripping tests of a novel origami chomper-based flexible gripper. Research Square.DOI
Jie Liu, Haifeng Ou, Rong Zeng, Wei Wei, Junfeng He, Jiaxi Zhou, Wei Wei, Kai Long, Guilin Wen, Yi Min Xie (2018). Miura-ori tube metamaterial with tunable dynamic property. arXiv (Cornell University).DOI
书籍章节
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Offshore Wind Turbine Standards and Certification. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Offshore Wind Turbine Maintenance and Operation. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Offshore Wind Turbine Foundation Structure. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Impacts of Offshore Wind Power on the Oceans. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Construction of Offshore Wind Turbine Foundation Structure. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Operational Environment of Offshore Wind Turbines. Springer eBooks.DOI
Mingwei Ge, Li Li, Hang Meng, Kai Long (2025). Introduction. Springer eBooks.DOI