第5期 石博强等：基于盲数理论的最优化方法与程序实现 527. Optimization method and computer program based on the blind number theory SHI Boqiang,ZHAO Dexiang,LI Haipeng,XIAO Chengyong Civil and Environmental Engineering School,University of Science and Technology Beijing.Beijing 100083.China ABSTRACT An optimization method based on blind number was presented with blind number expressing the uncertain variables in optimization and in combination with the traditional optimization algorithm which based on the real variables.In the microscopic point of view,the relation between design variables and optimization pa- rameters was analyzed and described,and the blind number solution was provided.The blind number solution not only provided the values for design variables,but also provided the evaluation of reliability of the optimiza- tion object in optimal condition when the design variables had different values. KEY WORDS mechanical optimization design:optimization method;blind number;uncertainty;optimization method;program;half shaft (上接第464页) Bearing behavior of a composite bolt pile and its engineering application JIN Aibing,WU Shunchuan,GAO Yongtao The Key Laboratory of High-Efficient Mining and Safety for Metal Mines of China Ministry of Education.University of Science and Technology Bei- jing.Beijing 100083.China ABSTRACI The bearing behavior and reinforcement mechanism of a composite bolt pile was studied through numerical calculation with the FLAC soft.The composite bolt pile was successfully used in several ground-rein- forcing engineering.The results of numerical simulation and engineering monitoring show that the bearing be- havior of the composite bolt pile is improved in comparison with a single bolt pile,the effective factor and bear- ing capacity of the pile are obviously enhanced. KEY WORDS foundation reinforcement;bolt pile;bearing behavior;reinforcement mechanism;numerical simulationOptimization method and computer program based on the blind number theory SHI Boqiang‚ZHAO Dexiang‚LI Haipeng‚XIAO Chengyong Civil and Environmental Engineering School‚University of Science and Technology Beijing‚Beijing100083‚China ABSTRACT An optimization method based on blind number was presented with blind number expressing the uncertain variables in optimization and in combination with the traditional optimization algorithm which based on the real variables．In the microscopic point of view‚the relation between design variables and optimization pa￾rameters was analyzed and described‚and the blind number solution was provided．The blind number solution not only provided the values for design variables‚but also provided the evaluation of reliability of the optimiza￾tion object in optimal condition when the design variables had different values． KEY WORDS mechanical optimization design；optimization method；blind number；uncertainty；optimization method；program；half shaft （上接第464页） Bearing behavior of a composite bolt pile and its engineering application JIN A ibing‚W U Shunchuan‚GAO Yongtao The Key Laboratory of High-Efficient Mining and Safety for Metal Mines of China Ministry of Education‚University of Science and Technology Bei￾jing‚Beijing100083‚China ABSTRACT The bearing behavior and reinforcement mechanism of a composite bolt pile was studied through numerical calculation with the FLAC soft．The composite bolt pile was successfully used in several ground-rein￾forcing engineering．The results of numerical simulation and engineering monitoring show that the bearing be￾havior of the composite bolt pile is improved in comparison with a single bolt pile‚the effective factor and bear￾ing capacity of the pile are obviously enhanced． KEY WORDS foundation reinforcement；bolt pile；bearing behavior；reinforcement mechanism；numerical simulation 第5期 石博强等： 基于盲数理论的最优化方法与程序实现 ·527·