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GEOMETRIC DESIGN OF DEPLOYABLE/RETRACTABLE MAST 被引量:1
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作者 杨玉龙 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第4期250-256,共7页
To simplify the complicated design process of deployable/retractable structures, a new design process is developed. The process is divided into three phases: the concept design phase, the model phase and the optimiza... To simplify the complicated design process of deployable/retractable structures, a new design process is developed. The process is divided into three phases: the concept design phase, the model phase and the optimization phase. In each phase, different parameter targets have to be fulfilled. According to three phases, a deployable/retractable mast composed of four right triangle prism modules in the longitudinal direction is designed. It can be deployed and folded simultaneously by the linear movements of sleeve-joints. The deployable and retractable movement of the mast is analyzed and key joint forms are designed. Then bar diameters and joint forms are modified based on mast structural mechanics characteristics in the optimization phase. Finally a 1:1 scaled model mast is built to verify the design and the optimization. Analytical results show that the model mast has the advantages of simple locking mechanism, fewer types of joints and bars, so it can be easily manufactured. 展开更多
关键词 deployable/retractable mast geometric design design process OPTIMIZATION
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The computer-aided design method of cabinet based on style imagery 被引量:2
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作者 沈张帆 薛澄岐 +3 位作者 王海燕 牛亚峰 邵将 张晶 《Journal of Southeast University(English Edition)》 EI CAS 2015年第3期369-374,共6页
Due to the practical problems of the high costs and the long development cycle of China’s cabinet production,a computer-aided design method of the cabinet based on style imagery is proposed.According to the principle... Due to the practical problems of the high costs and the long development cycle of China’s cabinet production,a computer-aided design method of the cabinet based on style imagery is proposed.According to the principle of the conjoint analysis method, the rough set theory and the weight coefficient of different components of the cabinet,a multi-dimensional model of style imagery to evaluate the cabinet is built. Then the related constants of style imagery are calculated and the cabinet components library is also built by the three-dimensional modeling.Finally,with recombinant technology and the mapping model between cabinet style and external characteristics,the prototype system based on Visual Studio is proposed.This system actualizes the bidirectional reasoning between product style imagery and the shape features,which can assist designers to produce more creative designs,greatly improve the efficiency of cabinet development and increase the profits of companies. 展开更多
关键词 CABINET computer-aided design style imagery component recombinant shape features
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Application of computer-aided engineering optimum design method in aluminum profile extrusion mould 被引量:8
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作者 帅词俊 肖刚 +1 位作者 倪正顺 钟掘 《Journal of Central South University of Technology》 2003年第1期64-68,共5页
The finite element analysis and the optimum design of aluminum profile extrusion mould were investigated using the ANSYS software and its parameterized modeling method. The optimum dimensions of the mould were obtaine... The finite element analysis and the optimum design of aluminum profile extrusion mould were investigated using the ANSYS software and its parameterized modeling method. The optimum dimensions of the mould were obtained. It is found that the stress distribution is very uneven, and the stress convergence is rather severe in the bridge of the aluminum profile extrusion mould. The optimum height of the mould is 70.527 mm, and the optimum radius of dividing holes are 70.182 mm and 80.663 mm. Increasing the height of the mould in the range of 61.282 mm to 70.422 mm can prolong its longevity, but when the height is over 70.422 mm, its longevity reduces. 展开更多
关键词 EXTRUSION MOULD computer-aided ENGINEERING OPTIMUM design ANSYS
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Integrated computer-aided formulation design:A case study of andrographolide/cyclodextrin ternary formulation 被引量:3
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作者 Haoshi Gao Yan Su +6 位作者 Wei Wang Wei Xiong Xiyang Sun Yuanhui Ji Hua Yu Haifeng Li Defang Ouyang 《Asian Journal of Pharmaceutical Sciences》 SCIE CAS 2021年第4期494-507,共14页
Current formulation development strongly relies on trial-and-error experiments in the laboratory by pharmaceutical scientists,which is time-consuming,high cost and waste materials.This research aims to integrate vario... Current formulation development strongly relies on trial-and-error experiments in the laboratory by pharmaceutical scientists,which is time-consuming,high cost and waste materials.This research aims to integrate various computational tools,including machine learning,molecular dynamic simulation and physiologically based absorption modeling(PBAM),to enhance andrographolide(AG)/cyclodextrins(CDs)formulation design.The light GBM prediction model we built before was utilized to predict AG/CDs inclusion's binding free energy.AG/γ-CD inclusion complexes showed the strongest binding affinity,which was experimentally validated by the phase solubility study.The molecular dynamic simulation was used to investigate the inclusion mechanism between AG andγ-CD,which was experimentally characterized by DSC,FTIR and NMR techniques.PBAM was applied to simulate the in vivo behavior of the formulations,which were validated by cell and animal experiments.Cell experiments revealed that the presence of D-α-Tocopherol polyethylene glycol succinate(TPGS)significantly increased the intracellular uptake of AG in MDCKMDR1 cells and the absorptive transport of AG in MDCK-MDR1 monolayers.The relative bioavailability of the AG-CD-TPGS ternary system in rats was increased to 2.6-fold and 1.59-fold compared with crude AG and commercial dropping pills,respectively.In conclusion,this is the first time to integrate various computational tools to develop a new AG-CD-TPGS ternary formulation with significant improvement of aqueous solubility,dissolution rate and bioavailability.The integrated computational tool is a novel and robust methodology to facilitate pharmaceutical formulation design. 展开更多
关键词 Integrated computer-aided formulation design Machine learning Molecular dynamic simulation Physiologically based absorption modeling ANDROGRAPHOLIDE Cyclodextrins
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Computer-Aided Design of Some Advanced Steels and Cemented Carbides 被引量:2
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作者 LI Lin ZHANG Mei +2 位作者 HE Yan-lin De Cooman Bruno Wollants Patrick 《Journal of Iron and Steel Research International》 SCIE CAS CSCD 2005年第6期42-48,共7页
Thermodynamic and kinetic study on TRIP (transformation induced plasticity) steels, cemented carbides and mold steel for plastics were carried out in order to design modern advanced materials. With the sublattice mo... Thermodynamic and kinetic study on TRIP (transformation induced plasticity) steels, cemented carbides and mold steel for plastics were carried out in order to design modern advanced materials. With the sublattice model, equilibrium compositions of ferrite and austenite phases in TRIP steels, as well as volume fraction of austenite at inter-critical temperatures for different time were calculated. Concentration profiles of carbon, manganese, aluminum and silicon in the steels were also estimated in the lattice fixed frame of reference. The effect of Si and Mn on TRIP was discussed according to thermodynamic and kinetic analyses. In order to understand and produce the graded nanophase structure of cemented carbides, miscellaneous phases in the M-Co-C (M= Ti, Ta, Nh) systems and Co-V-C system were modeled. Solution parameters and thermodynamic: properties were listed in detail. The improvement of machining behavior of prehardened mould steel for plastics was obtained by computer-aided composition design. The results showed that the matrix composition of large-section prehardened mould steel for plastic markedly influences the precipitation of non-metallic inclusion and the composition control by the aid of Thermo-Calc software package minimizes the amount of detrimental oxide inclusion. In addition, the modification of calcium was optimized in composition design. 展开更多
关键词 computer-aided composition design TRIP steel cemented carbide prehardened mould steel concentration profile THERMODYNAMIC KINETIC equilibrium composition
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Computer-aided designing and manufacturing of advanced steels 被引量:1
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作者 LI Lin HE Yanlin +3 位作者 B.C. De Cooman P. Wollants S. G. Huang J. Vleugels 《Rare Metals》 SCIE EI CAS CSCD 2006年第5期407-411,共5页
Suitable optimization and simulation were performed using a powerful software package with a mature database as well as modem measurement facilities, which led to the successful designing and manufacturing of advanced... Suitable optimization and simulation were performed using a powerful software package with a mature database as well as modem measurement facilities, which led to the successful designing and manufacturing of advanced steels. In the course of designing, the composition of a large section of prehardened mold steel for plastics was estimated so as to lower the quantities of oxide inclusions to change the type of carbides and to raise the machinability. The composition and process were adjusted to obtain satisfactory surface quality for the prevailing galvanization in transformation-induced plasticity (TRIP) steel. The refuting process of low-carbon steel was simulated in the light of both Thermo-Calc and Factsage. Thermodynamic and kinetic analyses were always conducted during the test and the procedure. 展开更多
关键词 material science advanced steel computer-aided design REFINING THERMODYNAMICS KINETICS
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A Computer-aided Design System for Framed-mould in Autoclave Processing 被引量:1
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作者 Tian-Guo Jin Feng-Yang Bi 《International Journal of Automation and computing》 EI 2010年第3期261-270,共10页
The general computer-aided design (CAD) software cannot meet the mould design requirement of the autoclave process for composites, because many parameters such as temperature and pressure should be considered in the... The general computer-aided design (CAD) software cannot meet the mould design requirement of the autoclave process for composites, because many parameters such as temperature and pressure should be considered in the mould design process, in addition to the material and geometry of the part. A framed-mould computer-aided design system (FMCAD) used in the autoclave moulding process is proposed in this paper. A function model of the software is presented, in which influence factors such as part structure, mould structure, and process parameters are considered; a design model of the software is established using object oriented (O-O) technology to integrate the stiffness calculation, temperature field calculation, and deformation field calculation of mould in the design, and in the design model, a hybrid model of mould based on calculation feature and form feature is presented to support those calculations. A prototype system is developed, in which a mould design process wizard is built to integrate the input information, calculation, analysis, data storage, display, and design results of mould design. Finally, three design examples are used to verify the prototype. 展开更多
关键词 Framed-mould autoclave processing computer-aided design (CAD) temperature field analyzing hybrid model.
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A Novel Human Antibody,HF,against HER2/erb-B2 Obtained by a Computer-Aided Antibody Design Method 被引量:1
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作者 Chunxia Qiao Ming Lv +8 位作者 Xinying Li Xiaoling Lang Shouqin Lv Mian Long Yan Li Shusheng Geng Zhou Lin Beifen Shen Jiannan Feng 《Engineering》 SCIE EI 2021年第11期1566-1576,共11页
Fully human antibodies have minimal immunogenicity and safety profiles.At present,most potential antibody drugs in clinical trials are humanized or fully human.Human antibodies are mostly generated using the phage dis... Fully human antibodies have minimal immunogenicity and safety profiles.At present,most potential antibody drugs in clinical trials are humanized or fully human.Human antibodies are mostly generated using the phage display method(in vitro)or by transgenic mice(in vivo);other methods include B lymphocyte immortalization,human–human hybridoma,and single-cell polymerase chain reaction.Here,we describe a structure-based computer-aided de novo design technology for human antibody generation.Based on the complex structure of human epidermal growth factor receptor 2(HER2)/Herceptin,we first designed six short peptides targeting the potential epitope of HER2 recognized by Herceptin.Next,these peptides were set as complementarity determining regions in a suitable immunoglobulin frame,giving birth to a novel anti-HER2 antibody named "HF,"which possessed higher affinity and more effective anti-tumor activity than Herceptin.Our work offers a useful tool for the quick design and selection of novel human antibodies for basic mechanical research as well as for imaging and clinical applications in immune-related diseases,such as cancer and infectious diseases. 展开更多
关键词 HER2/erb-B2 Human antibody computer-aided design
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A Method for Solving Computer-Aided Product Design Optimization Problem Based on Back Propagation Neural Network 被引量:1
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作者 周祥 何小荣 陈丙珍 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2004年第4期510-514,共5页
Because of the powerful mapping ability, back propagation neural network (BP-NN) has been employed in computer-aided product design (CAPD) to establish the property prediction model. The backward problem in CAPD is to... Because of the powerful mapping ability, back propagation neural network (BP-NN) has been employed in computer-aided product design (CAPD) to establish the property prediction model. The backward problem in CAPD is to search for the appropriate structure or composition of the product with desired property, which is an optimization problem. In this paper, a global optimization method of using the a BB algorithm to solve the backward problem is presented. In particular, a convex lower bounding function is constructed for the objective function formulated with BP-NN model, and the calculation of the key parameter a is implemented by recurring to the interval Hessian matrix of the objective function. Two case studies involving the design of dopamine β-hydroxylase (DβH) inhibitors and linear low density polyethylene (LLDPE) nano composites are investigated using the proposed method. 展开更多
关键词 computer-aided product design (CAPD) back propagation neural network (BP-NN) a BB algorithm convex lower bounding function interval Hessian matrix
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第4届全国几何设计与计算学术会议征文通知(CSIAM Geometric Design & Computing 2009)
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《计算机研究与发展》 EI CSCD 北大核心 2008年第12期2086-2086,共1页
关键词 几何设计 CSIAM geometric design Computing 2009 会议
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Computer-Aided Design and Fabrication of Finger Prosthesis
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作者 Takeshi Murayama Kosei Oono +3 位作者 Mitsunori Tada Toru Eguchi Misuzu Nagami Mitsuhiro Tamamoto 《Journal of Biomedical Science and Engineering》 2015年第2期98-103,共6页
Custom-made esthetic finger prostheses, which are used for rehabilitation of patients with missing or impaired fingers, have been fabricated manually. However, such fabrication is time-consuming and requires manual sk... Custom-made esthetic finger prostheses, which are used for rehabilitation of patients with missing or impaired fingers, have been fabricated manually. However, such fabrication is time-consuming and requires manual skill. Here we propose a computer-aided method for fabricating finger pros-theses to save time and allow fabrications that do not require considerable manual skill. In this method, the dimensions of a patient’s healthy finger on the contralateral hand are first measured using a caliper. Using these dimensions, a three-dimensional model is constructed for fabricating a prosthesis for the patient’s impaired finger. Using the 3D model, a mold is designed using 3D modeling tools and a computer-aided design system. The resulting mold is then fabricated using a 3D printer. A finger prosthesis is fabricated by pouring silicone resin into the mold. A finger prosthesis for a volunteer was experimentally fabricated according to the proposed method. To evaluate the size and shape of the finger prosthesis, the difference between the finger prosthesis and the original finger of the volunteer was analyzed. Because the average difference between them was 0.25 mm, it was concluded that the proposed method could be used to fabricate a finger prosthesis of adequate size and shape. 展开更多
关键词 FINGER PROSTHESES ESTHETIC PROSTHESES computer-aided design 3D PRINTER Additive Manufacturing
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Computer-Aided Design of X-Ray Microtomographic Scanners
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作者 V. I. Syryamkin E. N. Bogomolov +3 位作者 V. V. Brazovsky A. Sh. Bureev G. S. Glushkov A. V. Vasiliev 《Advances in Computed Tomography》 2013年第3期83-90,共8页
The article is to study the development of computer-aided design of X-ray microtomography—the device for investigating the structure and construction of three-dimensional images of organic and inorganic objects on th... The article is to study the development of computer-aided design of X-ray microtomography—the device for investigating the structure and construction of three-dimensional images of organic and inorganic objects on the basis of shadow projections. This article provides basic information regarding CAD of X-ray microtomography and a scheme consisting of three levels. The article also shows basic relations of X-ray computed tomography, the generalized scheme of an X-ray microtomographic scanner. The methods of X-ray imaging of the spatial microstructure and morphometry of materials are described. The main characteristics of an X-ray microtomographic scanner, the X-ray source, X-ray optical elements and mechanical components of the positioning system are shown. The block scheme and software functional scheme for intelligent neural network system of analysis of the internal microstructure of objects are presented. The method of choice of design parameters of CAD of X-ray microtomography aims at improving the quality of design and reducing costs of it. It is supposed to reduce the design time and eliminate the growing number of engineers involved in development and construction of X-ray microtomographic scanners. 展开更多
关键词 TOMOGRAPHY Microtomography NON-DESTRUCTIVE Testing DIAGNOSIS X-RAY Microtomographic SCANNER X-RAY Optical Systems Mechatronic System computer-aided design
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Analysis of the Relations between Highway Geometric Design and Traffic Safety in Bangladesh,China,and America
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作者 Licai Zhang Kai Hua Fen Xiang 《Frontiers Research of Architecture and Engineering》 2022年第1期19-25,共7页
Transportation plays a critical role in the economic sector in Bangladesh.Since its independence,infrastructure has been developing rapidly,includ-ing land,water,and air transportation.National economy is increasing a... Transportation plays a critical role in the economic sector in Bangladesh.Since its independence,infrastructure has been developing rapidly,includ-ing land,water,and air transportation.National economy is increasing at a relatively high rate,leading to the better-off of people’s lives.As the living standards keep improving,people are more concerned about safety issues in transportation.This article makes an analysis of the status quo of traffic safety in Bangladesh and compares the Bangladeshi code with American code AASHTO from the geometric aspects of horizontal and vertical align-ment,in an effort to provide reference to the highway design in Bangla-desh.Through a reasonable design,the traffic safety will be under control and accident rate as well as economic loss will be minimized. 展开更多
关键词 geometric design Traffic safety HIGHWAY
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On analog circuit design methodology via multi-objective geometric programming
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作者 Theerachet Soorapanth 《通讯和计算机(中英文版)》 2009年第11期43-48,共6页
关键词 几何规划 设计方法 模拟电路 多目标 单目标优化 决策信息 组合成 凸函数
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Computer-aided molecular design and optimization of potent inhibitors disrupting APC-Asef interaction
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作者 Xuefei Wang Zeqian Du +8 位作者 Yuegui Guo Jie Zhong Kun Song Junyuan Wang Jianqiang Yu Xiuyan Yang Chen-Ying Liu Ting Shi Jian Zhang 《Acta Pharmaceutica Sinica B》 SCIE CAS CSCD 2024年第6期2631-2645,共15页
Colorectal cancer(CRC)is the second leading cause of cancer mortality worldwide.At initial diagnosis,approximately 20%of patients are diagnosed with metastatic CRC(mCRC).Although the APC-Asef interaction is a well-est... Colorectal cancer(CRC)is the second leading cause of cancer mortality worldwide.At initial diagnosis,approximately 20%of patients are diagnosed with metastatic CRC(mCRC).Although the APC-Asef interaction is a well-established target for mCRC therapy,the discovery and development of effective and safe drugs for mCRC patients remains an urgent and challenging endeavor.In this study,we identified a novel structural scaffold based on MAI inhibitors,the first-in-class APC-Asef inhibitors we reported previously.ONIOM model-driven optimizations of the N-terminal cap and experimental evaluations of inhibitory activity were performed,and 24-fold greater potency was obtained with the best inhibitor compared to the parental compound.In addition,the cocrystal structure validated that the two-layerπ-πstacking interactions were essential for inhibitor stabilization in the bound state.Furthermore,in vitro and in vivo studies have demonstrated that novel inhibitors suppressed lung metastasis in CRC by disrupting the APC-Asef interaction.These results provide an intrinsic structural basis to further explore drug-like molecules for APC-Asef-mediated CRC therapy. 展开更多
关键词 APC-Asef PEPTIDOMIMETIC computer-aided molecular design ONIOM model π-πstacking Metastatic colorectal cancer
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Comparative Study of 3D-Printed Porous Titanium Alloy with Rod Designs of Three Different Geometric Structures for Orthopaedic Implantation
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作者 Jiaxin Li Haozhang Zhong +5 位作者 Bojun Cao Zhaoyang Ran Jia Tan Liang Deng Yongqiang Hao Jinglong Yan 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2024年第1期54-66,共13页
Porous titanium alloy is currently widely used in clinical treatment of orthopaedic diseases for its lower elastic modulus and ability to integrate with bone tissue.At the micro-level,cells can respond to different ge... Porous titanium alloy is currently widely used in clinical treatment of orthopaedic diseases for its lower elastic modulus and ability to integrate with bone tissue.At the micro-level,cells can respond to different geometries,and at the macro-level,the geometric design of implants will also affect the biological function of cells.In this study,three kinds of porous scaffolds with square,triangular and circle rod shapes were designed and 3D printed.This study observed the proliferation and differentiation of MC3T3-E1 cells during surface culture of the three types of scaffolds.It also evaluated the characteristics of the three scaffolds by means of compression tests and scanning electron microscopy to provide a reference for the design of porous titanium alloy implants for clinical applications.The trends of cell proliferation and gene expression between the three types of scaffolds were observed after treatment with two inhibitors.The results show that the square rod porous scaffolds have the best proliferative and osteogenic activities,and these findings may be due to differences in piezo-type mechanosensitive ion channel component 1(Piezo1)and Yes-associated protein(YAP)expression caused by the macro-geometric topography. 展开更多
关键词 Porous titanium scaffolds geometric morphology Cell proliferation Structural design
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Evaluation of the effect of geometrical parameters on stope probability of failure in the open stoping method using numerical modeling 被引量:11
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作者 Shahriyar Heidarzadeh Ali Saeidi Alain Rouleau 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2019年第3期399-408,共10页
Stress-induced failure is among the most common causes of instability in Canadian deep underground mines.Open stoping is the most widely practiced underground excavation method in these mines,and creates large stopes ... Stress-induced failure is among the most common causes of instability in Canadian deep underground mines.Open stoping is the most widely practiced underground excavation method in these mines,and creates large stopes which are subjected to stress-induced failure.The probability of failure(POF)depends on many factors,of which the geometry of an open stope is especially important.In this study,a methodology is proposed to assess the effect of stope geometrical parameters on the POF,using numerical modelling.Different ranges for each input parameter are defined according to previous surveys on open stope geometry in a number of Canadian underground mines.A Monte-Carlo simulation technique is combined with the finite difference code FLAC3D,to generate model realizations containing stopes with different geometrical features.The probability of failure(POF)for different categories of stope geometry,is calculated by considering two modes of failure;relaxation-related gravity driven(tensile)failure and rock mass brittle failure.The individual and interactive effects of stope geometrical parameters on the POF,are analyzed using a general multi-level factorial design.Finally,mathematical optimization techniques are employed to estimate the most stable stope conditions,by determining the optimal ranges for each stope’s geometrical parameter. 展开更多
关键词 STOPE stability STOPE geometricAL parameters PROBABILITY of failure General FACTORIAL design Numerical modeling Sublevel OPEN STOPING
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Bio-inspired Design and Inverse Kinematics Solution of an Omnidirectional Humanoid Robotic Arm with Geometric and Load Capacity Constraints
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作者 Zhichao Zhu Zirong Luo +4 位作者 Yiming Zhu Tao Jiang Minghai Xia Shanjun Chen Boyu Jin 《Journal of Bionic Engineering》 SCIE EI CSCD 2024年第2期778-802,共25页
Inspired by the driving muscles of the human arm,a 4-Degree of Freedom(DOF)concentrated driving humanoid robotic arm is proposed based on a spatial double parallel four-bar mechanism.The four-bar mechanism design redu... Inspired by the driving muscles of the human arm,a 4-Degree of Freedom(DOF)concentrated driving humanoid robotic arm is proposed based on a spatial double parallel four-bar mechanism.The four-bar mechanism design reduces the inertia of the elbow-driving unit and the torque by 76.65%and 57.81%,respectively.Mimicking the human pose regulation strategy that the human arm picks up a heavy object by adjusting its posture naturally without complicated control,the robotic arm features an integrated position-level closed-form inverse solution method considering both geometric and load capacity limitations.This method consists of a geometric constraint model incorporating the arm angle(φ)and the Global Configuration(GC)to avoid joint limits and singularities,and a load capacity model to constrain the feasible domain of the arm angle.Further,trajectory tracking simulations and experiments are conducted to validate the feasibility of the proposed inverse solution method.The simulated maximum output torque,maximum output power and total energy consumption of the robotic arm are reduced by up to 2.0%,13.3%,and 33.3%,respectively.The experimental results demonstrate that the robotic arm can bear heavy loads in a human-like posture,effectively reducing the maximum output torque and energy consumption of the robotic arm by 1.83%and 5.03%,respectively,while avoiding joints beyond geometric and load capacity limitations.The proposed design provides a high payload–weight ratio and an efficient pose control solution for robotic arms,which can potentially broaden the application spectrum of humanoid robots. 展开更多
关键词 Humanoid robotic arm Bio-inspired design Inverse kinematics solution Load capacity constraint geometric constraint
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THE CONCEPT OF PROBE DETECTOR AND ITS APPLICATION IN GEOMETRIC MODELING
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作者 M.Rajbhandari 秦鹏飞 《Journal of Donghua University(English Edition)》 EI CAS 1989年第Z1期86-92,共7页
The concept of′Probe detector′is introduced in this paper with its application in geometricmodeling and graphics.In terms of the concept,the authors derive edge data from the CSG datarepresentation and establish a w... The concept of′Probe detector′is introduced in this paper with its application in geometricmodeling and graphics.In terms of the concept,the authors derive edge data from the CSG datarepresentation and establish a wireframe model. 展开更多
关键词 COMPUTER aided design COMPUTER aided manufacturing geometric modeling GRAPHICS WIREFRAME PROBE DETECTOR
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THE RELATIONSHIP BETWEEN PROJECTIVE GEOMETRIC AND RATIONAL QUADRATIC B-SPLINE CURVES
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作者 HAN XI’AN AND HUANG XILI 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1998年第4期445-450,共6页
Abstract For two rational quadratic B spline curves with same control vertexes, the cross ratio of four collinear points are represented: which are any one of the vertexes, and the two points that the ray initialing f... Abstract For two rational quadratic B spline curves with same control vertexes, the cross ratio of four collinear points are represented: which are any one of the vertexes, and the two points that the ray initialing from the vertex intersects with the corresponding segments of the two curves, and the point the ray intersecting with the connecting line between the two neighboring vertexes. Different from rational quadratic Bézier curves, the value is generally related with the location of the ray, and the necessary and sufficient condition of the ratio being independent of the ray's location is showed. Also another cross ratio of the following four collinear points are suggested, i.e. one vertex, the points that the ray from the initial vertex intersects respectively with the curve segment, the line connecting the segments end points, and the line connecting the two neighboring vertexes. This cross ratio is concerned only with the ray's location, but not with the weights of the curve. Furthermore, the cross ratio is projective invariant under the projective transformation between the two segments. 展开更多
关键词 Computer aided geometric design rational B-spline curve cross ratio weight
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