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差分法计算~7Li_2纯振动能级和振-转能级(英文)
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作者 衣汉威 张凤东 +2 位作者 石爱民 刘淑琴 丁培柱 《光学精密工程》 EI CAS CSCD 2002年第3期313-317,共5页
提出了利用差分法计算双原子分子纯振动能级和振 -转能级的具体方法。利用了差分法计算了7Li2 的能级并且把计算的结果和Ley -Koo等人用其他方法计算的结果作了对比 ,指出了这种计算方法和其他计算方法不同的是不需要求出相波函数而直... 提出了利用差分法计算双原子分子纯振动能级和振 -转能级的具体方法。利用了差分法计算了7Li2 的能级并且把计算的结果和Ley -Koo等人用其他方法计算的结果作了对比 ,指出了这种计算方法和其他计算方法不同的是不需要求出相波函数而直接求出能级值 ,因此这种计算方法有比较简便的优点 ,它可和其他计算方法配合使用更准确地求解双原子分子的振动能级问题。这种计算方法可用于准确确定双原子的解析和数值的势能函数 。 展开更多
关键词 差分法计算 纯振动能级 振-转能级 双原子分子
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水下拖曳系统收放安全性的模拟计算 被引量:4
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作者 卢军 黄国 《上海交通大学学报》 EI CAS CSCD 北大核心 2005年第5期691-694,700,共5页
为了对置于潜艇尾部的水下拖曳系统在收放缆时的安全性进行评估,计算了螺旋浆和艇体的尾流近场.螺旋桨的计算采用升力面理论涡格法,艇体的计算采用无升力体面元法,并考虑两者之间的相互作用.建立了水下拖曳系统在非均匀流场中的力学模型... 为了对置于潜艇尾部的水下拖曳系统在收放缆时的安全性进行评估,计算了螺旋浆和艇体的尾流近场.螺旋桨的计算采用升力面理论涡格法,艇体的计算采用无升力体面元法,并考虑两者之间的相互作用.建立了水下拖曳系统在非均匀流场中的力学模型,用有限差分法计算收放缆时拖缆的姿态.计算结果表明,收放缆时的安全性是有足够保障的. 展开更多
关键词 水下拖曳系统 安全性 模拟计算 升力面理论 非均匀流场 差分法计算 力学模型 相互作用 计算结果 放缆 涡格法 螺旋桨 螺旋浆 面元法 升力体 艇体 潜艇 尾流 拖缆
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计算力学的研究现状与发展前景 被引量:4
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作者 张伟林 《安徽建筑工业学院学报(自然科学版)》 2001年第2期7-12,共6页
对计算力学的研究现状作了分析 ,介绍了计算力学中的主要方法 ,其中包括有限差分法、有限元法、边界元法、加权残数法和有限元线法等。又从算法的研究方面讨论了计算力学的研究进展 ,并探讨了计算力学今后的发展趋势。
关键词 计算力学 有限差分法 有限元法 边界元法 加权残数法 有限元线法 数值与解析结合法 结构优化设计 并行算法
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基于曲率模态振型的刚架结构损伤检测 被引量:11
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作者 王山山 任青文 《动力学与控制学报》 2005年第2期81-86,共6页
结构损伤前后动力特性的变化来快速、直接、方便地判定损伤的存在、程度及位置.本文采用曲率模态对刚架结构的损伤检测进行了研究.首先用有限元法计算出结构的位移模态振型,然后用差分法计算出曲率模态振型.数值模拟结果表明:曲率模态... 结构损伤前后动力特性的变化来快速、直接、方便地判定损伤的存在、程度及位置.本文采用曲率模态对刚架结构的损伤检测进行了研究.首先用有限元法计算出结构的位移模态振型,然后用差分法计算出曲率模态振型.数值模拟结果表明:曲率模态振型对结构的损伤敏感,可同时确定结构损伤的存在、程度和位置,并且可以用于结构多位置损伤的检测.实验结果证实了数值模拟结论. 展开更多
关键词 模态振型 结构损伤检测 差分法计算 动力特性 有限元法 刚架结构 曲率模态 模拟结果 数值模拟 位移
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浅论桩板墙的设计与施工 被引量:4
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作者 龙国英 黄恒均 《路基工程》 1996年第4期19-25,共7页
本文着重讨论分析路堑中两个桩板墙实例出现某些问题的原因,提出设计,施工中应注意的问题。介绍带锚杆桩板墙设计计算的差分法求解。
关键词 桩板墙 锚杆桩 差分法计算 铁路 路基路堑 设计
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螺槽内塑料熔体传热及温度的数值模拟 被引量:3
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作者 李凌丰 茅旭飞 +1 位作者 管灵波 张振然 《机械工程学报》 EI CAS CSCD 北大核心 2013年第14期23-30,共8页
用数值方法模拟塑料加工过程中的熔体可以了解其流动与传热历史,进而提高塑化性能,改善制品质量。针对熔融塑料在螺槽中的流动与传热,结合运动方程和本构方程,建立多因素同时作用下的能量守恒数学模型,模型通过热对流项、热传导项、黏... 用数值方法模拟塑料加工过程中的熔体可以了解其流动与传热历史,进而提高塑化性能,改善制品质量。针对熔融塑料在螺槽中的流动与传热,结合运动方程和本构方程,建立多因素同时作用下的能量守恒数学模型,模型通过热对流项、热传导项、黏性耗散热项的共同作用描述传热与温度分布的动态过程和稳定状态特性。利用有限差分法离散偏微分方程,构造线性方程组,根据初始条件和边界条件,并借助数值计算方法,求解得到三维流道的温度模拟结果。分析模拟结果,得到螺槽内塑料熔体的温度、热对流、热传导、黏性耗散热的分布及变化规律,据此可以更深入地理解塑化过程及其影响因素。在同样条件下比较,模拟结果与商品化软件的计算结果是一致的,验证了所提方法的正确性。 展开更多
关键词 塑料熔体流动 传热 能量守恒 有限差分法数值计算方法
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瑞能煤矿区段煤柱中巷支护技术 被引量:5
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作者 贠东风 李尚明 +6 位作者 苏普正 杜强 解盘石 周志群 邢太军 袁红平 余建东 《西安科技大学学报》 CAS 2012年第4期434-438,458,共6页
在瑞能煤业有限责任公司采空区留下的相临的2条块区段煤柱中间试掘运输巷和回风巷(简称区段煤柱中巷)。由于2条巷道均出现压力大,造成巷道难以支护,影响正常掘进。以该矿区段煤柱中巷支护为工程背景,采用三维有限差分法数值计算软件(FLA... 在瑞能煤业有限责任公司采空区留下的相临的2条块区段煤柱中间试掘运输巷和回风巷(简称区段煤柱中巷)。由于2条巷道均出现压力大,造成巷道难以支护,影响正常掘进。以该矿区段煤柱中巷支护为工程背景,采用三维有限差分法数值计算软件(FLAC3D)分析巷道掘出后围岩的应力场和位移场并对不同支护方式巷道的变形破坏机理进行对比性模拟,并根据模拟实验结果制定支护方案,为区段煤柱中巷支护方案的优化确定提供科学依据。 展开更多
关键词 区段煤柱中巷 巷道支护 三维有限差分法数值计算软件(FLAC3D)
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COMPUTER VISUALIZATION OF ELECTROMAGNETIC WAVE INTERACTION WITH STRUCTURES
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作者 余雄庆 杨景佐 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第1期80-86,共7页
In this paper, a computer visualization approach is proposed for electromagnetic wave interaction with structures by mains of finite difference-time doain method (F-D) and computer graphics. By visualization of FDTD, ... In this paper, a computer visualization approach is proposed for electromagnetic wave interaction with structures by mains of finite difference-time doain method (F-D) and computer graphics. By visualization of FDTD, Phenomena such as wave propagation, penetration through structures, renection and absorption by structures are observed. Visualization of electromagnetic wave interactions with two wing-shaped structures is demonstrated. These examples indicate that the approach describe in the paper offers an effective way for investigating electromagnetic wave phenomena and is helpful to the engineers in controlling radar signature of the targets. 展开更多
关键词 electromagnetic wave scattering finite difference method radar targets computer visualization ANIMATION
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Differential Collision Attack on Reduced FOX Block Cipher 被引量:5
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作者 Chen Jie Hu Yupu +1 位作者 Zhang Yueyu Dong Xiaoli 《China Communications》 SCIE CSCD 2012年第7期71-76,共6页
This paper presents a method for differen- tial collision attack of reduced FOX block cipher based on 4-round distinguishing property. It can be used to attack 5, 6 and 7-round FOX64 and 5-round FOX128. Our attack has... This paper presents a method for differen- tial collision attack of reduced FOX block cipher based on 4-round distinguishing property. It can be used to attack 5, 6 and 7-round FOX64 and 5-round FOX128. Our attack has a precomputation phase, but it can be obtained before attack and computed once for all. This attack on the reduced to 4-round FOX64 requires only 7 chosen plaintexts, and performs 242.8 4-round FOX64 encryptions. It could be extended to 5 (6, 7)-round FOX64 by a key exhaustive search behind the fourth round. 展开更多
关键词 CRYPTOGRAPHY block cipher FOX differential collision attack
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A Preliminary Application of the Differential Evolution Algorithm to Calculate the CNOP 被引量:4
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作者 SUN Guo-Dong MU Mu 《Atmospheric and Oceanic Science Letters》 2009年第6期381-385,共5页
A projected skill is adopted by use of the differential evolution (DE) algorithm to calculate a conditional nonlinear optimal perturbation (CNOP). The CNOP is the maximal value of a constrained optimization problem wi... A projected skill is adopted by use of the differential evolution (DE) algorithm to calculate a conditional nonlinear optimal perturbation (CNOP). The CNOP is the maximal value of a constrained optimization problem with a constraint condition, such as a ball constraint. The success of the DE algorithm lies in its ability to handle a non-differentiable and nonlinear cost function. In this study, the DE algorithm and the traditional optimization algorithms used to obtain the CNOPs are compared by analyzing a theoretical grassland ecosystem model and a dynamic global vegetation model. This study shows that the CNOPs generated by the DE algorithm are similar to those by the sequential quadratic programming (SQP) algorithm and the spectral projected gradients (SPG2) algorithm. If the cost function is non-differentiable, the CNOPs could also be caught with the DE algorithm. The numerical results suggest the DE algorithm can be employed to calculate the CNOP, especially when the cost function is non-differentiable. 展开更多
关键词 differential evolution algorithm conditional nonlinear optimal perturbation non-differentiable
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Modeling of low-frequency seismic waves in a shallow sea using the staggered grid difference method
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作者 卢再华 张志宏 顾建农 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2017年第5期1010-1017,共8页
Elastic waves in the seabed generated by low-frequency noise radiating from ships are known as ship seismic waves and can be used to detect and identify ships. To obtain the propagation characteristics of ship seismic... Elastic waves in the seabed generated by low-frequency noise radiating from ships are known as ship seismic waves and can be used to detect and identify ships. To obtain the propagation characteristics of ship seismic waves, an algorithm for calculating Seismic waves at the seafloor is presented based on the staggered-grid finite difference method. The accuracy of the algorithm was tested by comparison with analytical solutions. Numerical simulation of seismic waves generated by a low-frequency point sotmd source in a typical shallow sea environment was carried out. Using various source frequencies and locations in the numerical simulation, we show that the seismic waves in the near field are composed mostly of transmitted S-waves and interface waves while transmitted P-waves are weak near the seafloor. However, in the far field, the wave components of the seismic wave are mainly normal modes and interface waves, with the latter being relatively strong in the waveforms, As the source frequency decreases, the normal modes become smaller and the interface waves dominate the time series of the seismic waves. 展开更多
关键词 low frequency sound source shallow sea seismic wave staggered grid
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Improved Hybrid Differential Evolution-Estimation of Distribution Algorithm with Feasibility Rules for NLP/MINLP Engineering Optimization Problems 被引量:4
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作者 摆亮 王钧炎 +1 位作者 江永亨 黄德先 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第6期1074-1080,共7页
In this paper, an improved hybrid differential evolution-estimation of distribution algorithm (IHDE-EDA) is proposed for nonlinear programming (NLP) and mixed integer nonlinear programming (MINLP) models in engineerin... In this paper, an improved hybrid differential evolution-estimation of distribution algorithm (IHDE-EDA) is proposed for nonlinear programming (NLP) and mixed integer nonlinear programming (MINLP) models in engineering optimization fields. In order to improve the global searching ability and convergence speed, IHDE-EDA takes full advantage of differential information and global statistical information extracted respectively from differential evolution algorithm and annealing mechanism-embedded estimation of distribution algorithm. Moreover, the feasibility rules are used to handle constraints, which do not require additional parameters and can guide the population to the feasible region quickly. The effectiveness of hybridization mechanism of IHDE-EDA is first discussed, and then simulation and comparison based on three benchmark problems demonstrate the efficiency, accuracy and robustness of IHDE-EDA. Finally, optimization on an industrial-size scheduling of two-pipeline crude oil blending problem shows the practical applicability of IHDE-EDA. 展开更多
关键词 differential evolution estimation of distribution hybrid evolution mixed-coding feasibility rules
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Mechanical analysis of fixed geosynthetic technique of GRPS embankment
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作者 张军 郑俊杰 马强 《Journal of Central South University》 SCIE EI CAS 2013年第5期1368-1375,共8页
To overcome the deficiencies of conventional geosynthetic-reinforced and pile-supported (GRPS) embankment, a new improvement technique, fixed geosynthetic technique of GRPS embankment (FGT embankment), was developed a... To overcome the deficiencies of conventional geosynthetic-reinforced and pile-supported (GRPS) embankment, a new improvement technique, fixed geosynthetic technique of GRPS embankment (FGT embankment), was developed and introduced. Based on the discussion about the load transfer mechanism of FGT embankment, a simplified check method of the requirement of geosynthetic tensile strength and a mechanical model of the FGT embankment were proposed. Two conditions, the pile cap and pile beam conditions are considered in the mechanical model. The finite difference method is used to solve the mechanical model owing to the complexity of the differential equations and the soil strata. Then, the numerical procedure is programmed. Finally, a field test is conducted to verify the mechanical model and the calculated results are in good agreement with field measured data. 展开更多
关键词 mechanical model load transfer mechanism fixed geosynthetic technique GRPS embankment field test
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A fast explicit finite difference method for determination of wellhead injection pressure 被引量:2
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Discrete Differential Evolution for Mixed Discrete Non-Linear Problems 被引量:1
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作者 Satoshi Kitayama Masao Arakawa Koetsu Yamazaki 《Journal of Civil Engineering and Architecture》 2012年第5期594-605,共12页
Differential evolution (DE) is a global optimizer for continuous design variables. To enhance DE, it is necessary to handle discrete design variables. In this paper, a discrete differential evolution (DDE) algorit... Differential evolution (DE) is a global optimizer for continuous design variables. To enhance DE, it is necessary to handle discrete design variables. In this paper, a discrete differential evolution (DDE) algorithm is proposed to handle discrete design variables The proposed DDE is based on the DE/l/rand/bin method. In the proposed DDE, the mutation ratio is regarded as the exchange probability, and thus, no modifications of DE/l/rand/bin are required. In addition, in order to maintain diversity through the search process, we initialize all search points. By introducing the initialization of all search points, global or quasi-optimum solution can be found. We validate the proposed DDE by applying it to several benchmark problems. 展开更多
关键词 Global optimization differential evolution mixed-discrete nonlinear problems.
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Two-dimensional Numerical Simulation of an Elastic Wedge Water Entry by a Coupled FDM-FEM Method
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作者 Kangping Liao Changhong Hu Wenyang Duan 《Journal of Marine Science and Application》 2013年第2期163-169,共7页
Hydroelastic behavior of an elastic wedge impacting on calm water surface was investigated. A partitioned approach by coupling finite difference method (FDM) and finite element method (FEM) was developed to analyz... Hydroelastic behavior of an elastic wedge impacting on calm water surface was investigated. A partitioned approach by coupling finite difference method (FDM) and finite element method (FEM) was developed to analyze the fluid structure interaction (FSI) problem. The FDM, in which the Constraint Interpolation Profile (CIP) method was applied, was used for solving the flow field in a fixed regular Cartesian grid system. Free surface was captured by the Tangent of Hyperbola for Interface Capturing with Slope Weighting (THINC/SW) scheme. The FEM was applied for calculating the structural deformation. A volume weighted method, which was based on the immersed boundary (IB) method, was adopted for coupling the FDM and the FEM together. An elastic wedge water entry problem was calculated by the coupled FDM-FEM method. Also a comparison between the current numerical results and the published results indicate that the coupled FDM-FEM method has reasonably good accuracy in predicting the impact force. 展开更多
关键词 elastic wedge water entry coupled FDM-FEM method volume weighted method CIP method THINC/SW scheme hydroelastic behavior
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Analysis of Critical Load of the Orthotropic Plate Structures
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作者 Radoljub Tomic Predrag Petrovic Tomlslav Jovanova 《Journal of Mechanics Engineering and Automation》 2012年第1期37-40,共4页
Advanced design based on the concept of orthotropic structure includes better use of materials, less weight compared to the equivalent isotropic construction and controlled effectively reserve resistance in all its se... Advanced design based on the concept of orthotropic structure includes better use of materials, less weight compared to the equivalent isotropic construction and controlled effectively reserve resistance in all its segments. In this case a calculation of critical load is exposed using the FDM (Finite Difference Method) concept of thin plates subjected to complex loads due to forces in the middle-plane. Results of calculation model, discussed in this paper, are given in graphic form. Presented results should serve as an indicator of the expansion of theoretical base of similar models, which can be reasonably use by researchers and engineers in their practices, and by students for educational purposes. 展开更多
关键词 PLATE orthotropic material analysis of critical load finite difference method structure.
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Light intensification effect of trailing indent crack in fused silica subsurface 被引量:2
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作者 ZHANG ChunLai XU Ming WANG ChunDong 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第3期25-30,共6页
A finite-difference time-domain algorithm was applied to solve Maxwell's equations to obtain the redistribution of an electro- magnetic plane wave in the vicinity of a trailing indent crack (TIC). The roles of five... A finite-difference time-domain algorithm was applied to solve Maxwell's equations to obtain the redistribution of an electro- magnetic plane wave in the vicinity of a trailing indent crack (TIC). The roles of five geometrical parameters playing in light intensification were calculated numerically under the irradiation of a 355-nm normal incidence laser. The results show that the light intensity enhancements between the nearest neighbor pits were remarkable, which may lead to damage, The calculated results reveal that the light intensity enhancement factor (LIEF) can be up to 11.2 when TIC is on the rear-surface. With the increase of the length as well as the depth of pits, LIEF increased. Conversely, with the increase of the axis of pits, LIEF grad- ually declined to a stable status. It was observed that there exists an optima width or gap, which enables LIEF to be increased dramatically and then decreased gently. By comparison, results suggest that the worst cases occur when the depth and the length are both very large, especially if the width equals to 22 and the gap equals the width. This work provides a recom- mended theoretical criterion for defect inspection and classification. 展开更多
关键词 fused silica trailing indent crack finite-difference time-domain light intensification
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Theoretical model for the improved PCC pile using expansive concrete
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作者 ZHOU Hang HUA JianMin +1 位作者 DING XuanMing CHU Jian 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第5期772-791,共20页
Conventional PCC pile technique has been widely used as embankment piles for highway construction in China. To further improve the PCC pile capacity, the expansive concrete technique has been applied to the PCC pile t... Conventional PCC pile technique has been widely used as embankment piles for highway construction in China. To further improve the PCC pile capacity, the expansive concrete technique has been applied to the PCC pile to replace the normal concrete recently. The use of expansive concrete for the PCC pile could increase the pile diameter as well as the contact pressure at the pile-soil interface due to the expansion process of concrete, which allows the improved PCC pile to provide higher capacity than the conventional PCC pile. This paper presents a theoretical model for the new improved PCC pile using expansive concrete technique. The model is formulated by assuming the PCC pile installation process as large strain undrained cylindrical cavity expansion and the subsequent pile shaft expansion combined with soil consolidation process is simulated by the small strain cylindrical cavity expansion combined with strain-controlled consolidation. Then, similarity solution technique is used to solve the problem of cavity expansion in modified cam Clay (MCC) model, while the strain-controlled consolidation is calculated through the finite difference method (FDM). Subsequently, the suitability of the cavity expansion solution in the interpretation of the PCC pile installation is verified by comparing the calculated excess pore pressure with the measured value in an instrumented field test. The stress changes and excess pore pressure during the PCC pile installation and subsequent pile shaft expansion are investigated by means of parametric study. The proposed theoretical model first reveals and quantifies the fundamental mechanism of the PCC pile using expansive concrete technique and it provides a theoretical basis for developing design methods of the new improved PCC pile in the future. 展开更多
关键词 cavity expansion PCC pile expansive concrete CONSOLIDATION theoretical analysis
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Optimization of the Mean Radius Flow Path of a Multi-Stage Steam Turbine with Evolution Algorithms
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作者 Jukka Huttunen Jaakko Larjola +1 位作者 Teemu Turunen-Saaresti Jari Backman 《Journal of Thermal Science》 SCIE EI CAS CSCD 2011年第4期318-323,共6页
A prototype model of the mean radius flow path of a four-stage, high speed 1 MWe axial steam turbine was optimized by using evolution algorithms, DE (differential evolution) algorithm in this case. Also the cost-ben... A prototype model of the mean radius flow path of a four-stage, high speed 1 MWe axial steam turbine was optimized by using evolution algorithms, DE (differential evolution) algorithm in this case. Also the cost-benefits of the optimization were inspected. The optimization was successfully performed but the accuracy of the optimization was slightly less than hoped when compared to the control modeling executed with the CFD (computational fluid dynamics). The mentioned inaccuracy could have been hardly avoided because of problems with an initial presumption involving semi-empiric calculations and of the uncertainty concerning the absolute areas of qualification of the functions. This kind of algebraic modeling was essential for the success of the optimization because e.g. CFD-calculation could not have been done on each step of the optimization. During the optimization some problems occurred with the adequacy of the computer capacity and with finding a suitable solution that would keep the algorithms within mathematically allowable boundaries but would not restrict the progress of the opti- mization too much. The rest of the problems were due to the novelty of the application and problems with pre- ciseness when handling the areas of qualification of the functions. Although the accuracy of the optimization re- suits was not exactly in accordance with the objective, they did have a favorable effect on the designing of the turbine. The optimization executed with the help of the DE-algorithm got at least about 3.5 % more power out of the turbine which means about 150 000 ε cost-benefit per turbine in the form of additional electricity capacity. 展开更多
关键词 steam turbine evolution algorithm OPTIMIZATION mean radius flow path semi-empirical loss correlations
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