四虎影院在线播放_午夜剧场黄色_毛片在线观看网站_国产精品视频免费看_日韩欧美国产片_超碰97人人做人人爱可以下载_激情五月综合色婷婷一区二区_爱视频一区二区三区_亚洲一区二区在线播放_中文字幕专区高清在线观看_国产精品日韩一区二区_在线不卡亚洲_91精品二区_国产白嫩美女无套久久_国产精品永久免费嫩草研究院_美女羞羞网站_久久精品av_少妇与黑人一二三区无码_久久久久99一区二区三区_88av视频在线观看

歡迎來訪濟南共潤科技有限公司網站!

濟南共潤科技有限公司

咨詢服務熱線
 13153168609
當前位置: 首頁 - 新聞中心
新聞中心

導軌絲杠:一文告訴你直線導軌和直線軸有哪些區別

來源:http://www.02n93m.cn/ 日期:2025-08-23 發布人:

  直線導軌和直線軸作為機械傳動系統中的核心部件,在工業自動化、數控機床、精密儀器等領域發揮著重要作用。盡管兩者功能相似,均用于實現直線運動,但在結構、性能、應用場景等方面存在顯著差異。以下從多個維度對二者進行系統對比分析,幫助讀者根據實際需求做出合理選擇。

  Linear guides and linear axes, as core components in mechanical transmission systems, play an important role in industrial automation, CNC machine tools, precision instruments, and other fields. Although both have similar functions and are used to achieve linear motion, there are significant differences in structure, performance, and application scenarios. The following provides a systematic comparative analysis of the two from multiple dimensions to help readers make reasonable choices based on their actual needs.

  一、結構設計差異

  1、 Structural design differences

  1. 直線導軌

  1. Linear guide rail

  采用模塊化設計,通常由導軌本體、滑塊、滾珠或滾柱循環系統、密封端蓋等組成。導軌截面呈矩形或梯形,滑塊內部通過精密滾珠實現多點接觸支撐。這種結構使得載荷均勻分布在多個接觸點上,有效降低局部磨損。

  Adopting modular design, it is usually composed of guide rail body, slider, ball or roller circulation system, sealed end cover, etc. The cross-section of the guide rail is rectangular or trapezoidal, and the slider is supported by precision ball bearings for multi-point contact inside. This structure enables the load to be evenly distributed across multiple contact points, effectively reducing local wear.

  2. 直線軸

  2. Linear axis

  結構相對簡單,主要由光軸(硬鉻鍍層圓桿)和直線軸承構成。直線軸承通常采用金屬或塑料襯套,依靠面接觸滑動摩擦運動。某提到的直線軸系統,其軸承內壁往往設計有油槽以改善潤滑條件,但接觸面積較直線導軌小,導致單位面積承載壓力較高。

  The structure is relatively simple, mainly composed of an optical axis (hard chrome plated round rod) and linear bearings. Linear bearings usually use metal or plastic bushings and rely on surface contact sliding friction motion. The linear axis system mentioned by an expert often has oil grooves designed on the inner wall of its bearings to improve lubrication conditions, but the contact area is smaller than that of linear guides, resulting in higher load-bearing pressure per unit area.

  二、運動性能對比

  2、 Comparison of Sports Performance

  1. 精度等級

  1. Accuracy level

  直線導軌的重復定位精度可達±0.001mm(高精度級),得益于滾珠的彈性變形補償能力。有實驗驗證,某的導軌通過反向器結構優化,將行走平行度控制在0.005mm/300mm以內。而直線軸受限于間隙配合,精度通常在±0.01mm級別,且隨磨損加劇精度衰減明顯。

  The repeated positioning accuracy of linear guides can reach ± 0.001mm (high-precision level), thanks to the elastic deformation compensation ability of the ball bearings. There is experimental verification that a certain brand of guide rail can control the parallelism of walking within 0.005mm/300mm by optimizing the structure of the inverter. However, the linear axis is limited by clearance fit, and the accuracy is usually in the ± 0.01mm level, and the accuracy deteriorates significantly with increasing wear.

  2. 承載能力

  2. Bearing capacity

  直線導軌采用多滾道設計,可同時承受徑向、反徑向和側向載荷。有案例顯示,某型號寬幅導軌的額定動載荷達58kN,相當于可支撐5噸級設備。相比之下,直線軸主要承受徑向載荷,側向負荷能力不足導軌的1/3。得知機械臂失效案例多源于此缺陷。

  The linear guide adopts a multi track design, which can simultaneously withstand radial, anti radial, and lateral loads. There are cases showing that the rated dynamic load of a certain model of wide guide rail reaches 58kN, which is equivalent to supporting 5-ton equipment. In contrast, the linear axis mainly bears radial loads, and its lateral load capacity is less than one-third of that of the guide rail. It is known that the failure cases of robotic arms are mainly caused by this defect.

  3. 速度與加速度

  3. Speed and Acceleration

  滾珠導軌的極限速度可達5m/s,加速度突破10m/s?。而直線軸因摩擦阻力大,持續工作速度一般限制在1m/s以下,否則易出現"爬行現象"——這是機械設計討論中頻繁提及的技術痛點。

  The maximum speed of the ball guide can reach 5m/s, and the acceleration can exceed 10m/s?. However, due to high frictional resistance, the continuous working speed of linear axes is generally limited to below 1m/s, otherwise it is prone to "crawling phenomenon" - this is a technical pain point frequently mentioned in mechanical design discussions.

  三、使用壽命與經濟性分析

  3、 Service life and economic analysis

  1. 耐久性表現

  1. Durability performance

  直線導軌的壽命計算公式為L=(C/P)?×50km(C為額定動載荷,P為實際載荷),產品壽命超10000小時。某機床廠商測試數據顯示,在相同工況下,直線軸的平均使用壽命僅為導軌的1/5-1/3,主要失效模式為軸頸磨損導致的配合間隙擴大。

  The formula for calculating the lifespan of a linear guide is L=(C/P)? 50km (C is the rated dynamic load, P is the actual load), high-quality products have a lifespan of over 10000 hours. According to test data from a certain machine tool manufacturer, under the same operating conditions, the average service life of a linear axis is only 1/5-1/3 of that of a guide rail, and the main failure mode is the expansion of the fit clearance caused by journal wear.

  2. 維護成本

  2. Maintenance costs

  導軌系統自帶密封結構和潤滑脂保持器,維護周期可達6-12個月。而直線軸需定期補充潤滑油,在粉塵環境中甚需要每周維護。資深工程師分享的案例表明,汽車焊接產線改用導軌后,年維護成本下降42%。

  The guide rail system comes with a sealing structure and grease retainer, and the maintenance cycle can reach 6-12 months. And the linear axis needs to be regularly lubricated, and even requires weekly maintenance in dusty environments. The case shared by senior engineers shows that after the automotive welding production line switched to guide rails, the annual maintenance cost decreased by 42%.

  3. 采購成本差異

  3. Differences in procurement costs

  同規格產品中,直線導軌約為直線軸的3-8倍。考慮更換頻率和停機損失,導軌的5年綜合成本反而比直線軸低15%-20%。

  Among products of the same specifications, the price of linear guides is about 3-8 times that of linear axes. Considering the frequency of replacement and downtime losses, the 5-year comprehensive cost of the guide rail is actually 15% -20% lower than that of the linear axis.

  四、典型應用場景

  4、 Typical application scenarios

  1. 直線導軌領域

  1. Preferred field for linear guides

  ● 高精度加工中心:某五軸機床采用45mm寬導軌,實現0.003mm定位精度。

  High precision machining center: A certain brand of five axis machine tool uses 45mm wide guide rails to achieve a positioning accuracy of 0.003mm.

  ● 半導體設備:晶圓搬運機械手要求±0.002mm重復定位。

  Semiconductor equipment: The wafer handling robot requires ± 0.002mm repeated positioning.

  ● 醫療CT機:需要無磁不銹鋼導軌滿足影像穩定性。

  Medical CT machine: Requires non-magnetic stainless steel guide rails to ensure image stability.base64_image

  2. 直線軸適用場合

  2. Applicable occasions for linear axis

  ● 輕載自動化設備:如包裝機械的傳送導向。

  Light load automation equipment: such as conveying guidance for packaging machinery.

  ● 低成本改造項目:傳統機床的簡易數控化。

  Low cost renovation project: Simplified numerical control of traditional machine tools.

  ● 短行程往復運動:3D打印機Z軸升降機構。

  Short stroke reciprocating motion: Z-axis lifting mechanism of 3D printer.

  五、技術發展趨勢

  5、 Technological development trends

  1. 直線導軌創新方向

  1. Innovative direction of linear guide rail

  ● 混合陶瓷導軌:采用Si3N4滾珠,壽命提升3倍。

  Hybrid ceramic guide rail: using Si3N4 ball bearings, the lifespan is increased by 3 times.

  ● 智能導軌:集成振動傳感器實現狀態監測。

  Intelligent guide rail: Integrated vibration sensor for status monitoring.

  ● 輕量化設計:鋁合金導軌骨架減重40%。

  Lightweight design: The aluminum alloy guide rail frame reduces weight by 40%.

  2. 直線軸改進方案

  2. Improvement plan for linear axis

  ● 自潤滑復合材料軸承:如PTFE混合青銅粉襯套。

  Self lubricating composite material bearings: such as PTFE mixed with bronze powder bushings.

  ● 表面處理技術:激光微織構降低摩擦系數。

  Surface treatment technology: Laser micro texturing reduces friction coefficient.

  ● 模塊化單元:預裝直線軸承的標準化模組。

  Modular unit: a standardized module pre installed with linear bearings.

  六、選型決策樹

  6、 Selection decision tree

  建議用戶按以下流程決策:

  Suggest users to make decisions according to the following process:

  1. 確認負載類型(是否含彎矩)→2. 評估精度需求→3. 計算速度/加速度→4. 分析環境條件(潔凈度、溫度)→5. 預算評估。如同時滿足:軸向載荷>500N、精度<0.01mm、連續工作>8h/天,則應優先考慮直線導軌。

  1. Confirm the load type (including bending moment) → 2 Evaluate accuracy requirements → 3 Calculate speed/acceleration → 4 Analyze environmental conditions (cleanliness, temperature) → 5 Budget evaluation. If the axial load is greater than 500N, accuracy is less than 0.01mm, and continuous operation is greater than 8h/day, then linear guides should be given priority consideration.

  通過上述對比可見,直線導軌在性能指標上,但直線軸在簡單工況中仍具成本優勢。現代工程實踐中,二者并非完全替代關系,而是形成互補的技術矩陣。建議設計人員結合具體工況,參考VDI3441等標準進行量化選型,必要時可采用導軌+軸的復合結構實現性價比。

  From the above comparison, it can be seen that the linear guide is comprehensively leading in performance indicators, but the linear axis still has a cost advantage in simple working conditions. In modern engineering practice, the two are not completely interchangeable, but form a complementary technical matrix. It is recommended that designers consider specific working conditions and refer to standards such as VDI3441 for quantitative selection. If necessary, a composite structure of guide rails and shafts can be used to achieve optimal cost-effectiveness.

  本文由 導軌絲杠 友情奉獻.更多有關的知識請點擊  http://www.02n93m.cn/   真誠的態度.為您提供為的服務.更多有關的知識我們將會陸續向大家奉獻.敬請期待.

  This article is a friendly contribution from the guide screw For more related knowledge, please click http://www.02n93m.cn/ Sincere attitude To provide you with comprehensive services We will gradually contribute more relevant knowledge to everyone Coming soon.

濟南共潤科技有限責任公司

主站蜘蛛池模板: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |