Patent ID: 6769891
Filing Date: 2004-08-03
Classification: F04C,Y10T

Abstract:
A gear wheel with a plurality of teeth capable of meshing with the teeth of another corresponding gear wheel, wherein the profile of each said tooth is within a band of tolerance of Â±{fraction (1/20)}th of the depth of the tooth with respect to a theoretical profile similar to a profile defined by a natural spline function passing through a plurality of nodal points having pre-established coordinates {X, Y} having their origin at the center of the pitch circle of the gear wheel, the natural spline function being selected from one of the groups of coordinates listed in tables 1 to 6, below, which correspond to the gear wheel with a number of teeth equal to five, six, seven, eight, nine or ten, respectively:TABLE 1XYXYXYXY0.0020.003.9317.225.1514.265.4311.850.3719.984.0217.075.2014.095.4511.780.7319.934.1116.915.2113.915.4711.691.0919.854.1916.755.2613.745.5011.621.4419.744.2716.595.2913.565.5211.541.7819.584.3516.435.3213.385.5511.462.0919.404.4216.275.3413.215.5811.372.3919.194.4916.115.3513.035.6111.292.6618.974.5715.955.3612.855.6411.212.9118.714.6315.785.3612.775.6711.133.1318.444.6915.625.3512.685.7111.043.2418.294.7715.455.3412.515.7510.973.3418.144.8315.285.3512.435.9910.543.4517.994.8915.125.3612.266.2010.253.5517.834.9414.955.3712.176.43â€‚9.993.6517.685.0114.785.3812.096.67â€‚9.753.7417.535.0514.615.4012.026.93â€‚9.543.8417.375.1214.435.4111.93TABLE 2XYXYXYXY0.0019.503.5116.754.4513.984.5912.750.3419.483.5816.644.4813.864.6012.710.6819.433.6516.534.4913.724.6212.661.0119.343.7116.404.4913.594.6212.611.3319.243.7716.274.4813.664.6312.561.6419.093.8316.144.4713.614.6512.511.9218.893.9415.884.4813.564.6712.422.1918.694.0015.744.4813.494.6812.362.4318.464.0515.604.4713.444.7112.302.6518.214.0615.464.4713.374.8511.992.8317.944.1015.334.4713.314.9911.742.9017.814.1515.194.4813.255.1211.552.9817.704.2015.054.4913.185.2811.373.0417.574.2414.924.5013.135.4411.203.1217.454.2814.774.5213.065.6111.043.1817.324.3114.644.5313.015.7810.913.2517.254.3414.514.5512.955.9710.783.3217.124.3814.384.5612.916.1810.653.3716.994.4114.254.5712.853.4416.884.4314.114.5812.81TABLE 3XYXYXYXY0.0019.103.0516.723.7614.754.0313.160.3319.093.1216.613.7314.604.0513.100.6419.053.1816.523.7614.504.0613.050.9518.963.1916.413.7614.394.0712.981.2518.833.2516.323.8214.284.0912.951.5318.693.2516.213.8414.194.1312.861.7918.493.3216.093.8514.044.1812.792.0418.283.3415.983.8613.854.2512.622.2518.093.4315.883.8813.764.3312.452.4517.833.4215.793.8613.734.5112.272.5917.583.4615.673.8613.674.5712.152.6517.463.5315.573.8913.604.7711.982.6717.373.5215.463.9013.564.8411.882.7817.293.5915.373.9213.484.9511.752.8317.173.6115.283.9413.455.1111.672.8817.123.6515.173.9413.365.2911.552.9417.013.6815.063.9613.315.4311.492.9516.923.6614.963.9713.255.5111.453.0316.813.7414.843.9913.24TABLE 4XYXYXYXY0.0018.802.6616.683.2414.923.5013.670.2918.782.7016.593.2614.833.5013.610.5818.732.7416.503.2714.733.5613.400.8818.652.7716.413.3014.633.6313.251.1518.532.8016.333.3114.553.7113.121.4118.392.8316.263.3214.453.7713.001.6418.222.8716.173.3414.373.8512.861.8718.032.9116.093.3514.293.9412.742.0517.832.9416.003.3714.154.0212.642.2117.612.9815.933.3814.134.1212.552.3617.363.0115.843.3914.064.2212.472.4017.283.0415.763.4114.024.3212.382.4517.203.0815.673.4213.974.4212.302.4817.123.1015.593.4413.924.5212.242.5217.043.1215.493.4613.834.6412.182.5616.943.1515.423.4613.784.7412.122.5916.853.1815.223.4713.754.8712.082.6316.773.2015.123.4913.724.9712.01TABLE 4XYXYXYXY0.0018.502.4816.412.9115.003.2113.710.2718.482.5216.332.9214.933.2413.670.5418.432.5516.262.9514.863.2613.630.8118.362.5716.202.9714.783.2813.581.0618.252.6116.122.9814.713.3713.421.3018.122.6416.062.9914.673.4513.301.5217.962.6715.992.9914.573.5313.201.7117.782.6915.922.9914.533.6213.101.8817.592.7115.853.0214.433.7213.002.0217.382.7315.773.0314.383.8112.922.1517.162.7515.713.0414.293.9112.842.1917.092.7615.633.0614.194.0012.772.2516.942.7815.563.0814.144.1012.712.2716.872.8015.483.0914.114.1912.652.3116.792.8115.393.1114.024.2912.602.3416.712.8315.323.1413.894.3912.552.3616.652.8515.243.1613.844.4912.512.4016.562.8815.173.1713.792.4316.492.8915.083.1913.75TABLE 6XYXYXYXY0.1318.242.2516.342.5915.192.8814.020.3918.212.2916.282.6015.132.9213.940.6518.152.3216.222.6115.062.9613.870.8918.052.3416.162.6315.003.0013.791.1217.952.3616.102.6414.943.0513.721.3417.802.3916.042.6614.883.1013.661.5317.632.4115.982.6714.813.1513.591.7017.442.4315.922.6814.733.2013.531.8417.242.4515.862.6814.713.2613.471.9717.032.4715.802.6814.703.3213.412.0416.892.4915.742.6814.693.3813.362.0616.832.5015.682.7014.643.4413.302.0816.772.5115.622.7014.613.5113.252.1116.712.5215.562.7114.513.5713.202.1316.642.5415.502.7414.433.6413.152.1516.582.5515.442.7614.353.7913.062.1716.532.5615.382.7814.273.9013.002.2116.472.5715.312.8114.194.0112.952.2316.412.5815.252.8514.104.12â€‰12.90.