Deflections and Moments of Wide Plate with Varying Thickness in Direction of Height

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概要

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• This paper contains an approximate solution by numerical calculation for the deflections and moments due to a transverse concentrated load acting at the midpoint of a wide plate, which has varying thickness.In calculation, the flexural rigidity of the plate with varying thickness is approximated to that of a gear tooth and differential equations of the plate are substituted for finite difference equations. In these operations, the mumerically calculated results for the plate are compared to the results hitherto obtained for a uniform thickness plate and also to experimental results.Deflections obtained from the numerical calculation and the experiment show good coincidence. But moment distribution along clamped edge is different from results of a uniform thickness plate. Therefore conventional substitution of deflection and moment of the plate for gear tooth should be reconsidered.

• 一般社団法人日本機械学会の論文

著者

• Aida Toshio

  Faculty Of Engineering Kvoto University

• Fujio Hiroshige

  Faculty Of Engineering Kyoto University

• Iwasaki Takao

  Sumitomo Electric Industries Ltd.

• MURATA Shigekazu

  Murata Industry Co., Ltd.

• Murata Shigekazu

  Murata Industry Co. Ltd.

関連論文

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• Distortions and Residual Stresses of Gears Caused by Hardening : 1st Report, Through-Hardening of Solid Cylinder Made of S45C Carbon Steel
• Influence of Impact Load on Fatigue Bending Strength of Case-Hardened Gears
• On the Durability of Gears for Machine Tools (the Journal and the Transactions of the Japan Society of Mechanical Engineers)
• Research on Force-Fitted Gear : Part 10-Deformation in each part of gear rim caused by force-fitting
• Study on Bending Fatigue Strength of Gears : 8th Report, Calculating Formula of True Stress at Compressive Side Tooth Fillet and Stresses in Operation
• Research on the Force-Fitted Gear : 9th Report, The Influence of Projections around a Cylinder, Repeated Numbers of Fitting and Extracting Processes on Fitting and Extracting Forces and Conditions of Fitting Surface
• Research of Force-Fitted Gear : 5th Report, On the Distribution of Stress along the Fillet Curve of Gears having Bosses on their Sides and Large Size Gear
• Research of Force-Fitted Gear : 6th Report, On the Distribution of Stress along the Fillet Curve in Case when Gear Rim and Boss are made of Different Materials
• Research on the Force-Fitted Gear : 8th Report, On the Fillet Stress of the Gear Tooth in Case when Hubs of Various Shapes are force-fitted and a Solid Shaft is double force-fitted in the Hollow Hub
• Research of Force-Fitted Gear : 4th Report, On the Improvement of Bending Fatigue Strength by Surface Rolling at the Root Fillet of the Force-Fitted Gear Tooth
• Study on the Stress at the Root Fillet and Safety for Slipping of Force-fitted Helical Gears
• Reserarch on the Force-Fitted Gear : 7th Report, On the Change of Stresses at the Circumference of the Force-Fitted Part in the Slipping Test
• Bending Strength Design of Gears
• Tooth Fillet Stresses of Gear with Thin Rim : 3rd report, Examination of Approximation Formulae for Gear Tooth Fillet Stresses
• Tooth Fillet Stresses of Gear with Thin rim : 2nd report, Approximation Formulae for Tooth Fillet Stresses
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• Bending Stresses of Internal Spur Gear
• Research of Force-Fitted Gear : 2nd Report, On the Bending Fatigue Strength of Force-Fitted Gear
• Research of Force-Fitted Gear : 1st Report, On the Distribution of Stress along the Fillet Curve of a Spur Gear
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• On the Stresses of Force-Fitted Gear and the Slipping at Force-Fitted Surface when the Influence of Centrifugal Force is considered
• Distortions and Residual Stresses of Gears Caused by Hardening : 3rd Report, Induction-Hardening of Gears Made of S35C Carbon Steel
• Distortions and Residual Stresses of Gears Caused by Hardening : 2nd Report, Through-Hardening of Gear Made of S45C Carbon Steel
• Residual Stress of Case-Hafdened Splined Shaft with Straight-Sided Teeth
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• Bending Fatigue Strength of Gears under Various Loading Conditions
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• Deflections and Moments of Wide Plate with Varying Thickness in Direction of Height
• Fundamental Research on Gear Noise and Vibration : (6th Report, Generation Mechanism of Radial and Axial Vibration of Spur Gears)
• Research on Bending Strength Properties of Spur Gears with a Thin Rim
• Distortions and Residual Stresses of Gears Caused by Hardening : 4th Report, Case-Hardening of Gears
• Research of Force-Fitted Gear : 3rd Report, On the Bending Fatigue Strength of Shrinkage-Fitted Gears
• Fundamental Research on Gear Noise and Vibration : 7th Report, Generation Mechanism of Radial and Axial Vibration of Spur Gears-II

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